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	<id>https://www.galacticlibrary.net/mediawiki-1.41.1/index.php?action=history&amp;feed=atom&amp;title=Jitter</id>
	<title>Jitter - Revision history</title>
	<link rel="self" type="application/atom+xml" href="https://www.galacticlibrary.net/mediawiki-1.41.1/index.php?action=history&amp;feed=atom&amp;title=Jitter"/>
	<link rel="alternate" type="text/html" href="https://www.galacticlibrary.net/mediawiki-1.41.1/index.php?title=Jitter&amp;action=history"/>
	<updated>2026-05-02T17:01:04Z</updated>
	<subtitle>Revision history for this page on the wiki</subtitle>
	<generator>MediaWiki 1.41.1</generator>
	<entry>
		<id>https://www.galacticlibrary.net/mediawiki-1.41.1/index.php?title=Jitter&amp;diff=3791&amp;oldid=prev</id>
		<title>Lwcamp at 19:02, 7 March 2026</title>
		<link rel="alternate" type="text/html" href="https://www.galacticlibrary.net/mediawiki-1.41.1/index.php?title=Jitter&amp;diff=3791&amp;oldid=prev"/>
		<updated>2026-03-07T19:02:52Z</updated>

		<summary type="html">&lt;p&gt;&lt;/p&gt;
&lt;table style=&quot;background-color: #fff; color: #202122;&quot; data-mw=&quot;interface&quot;&gt;
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				&lt;td colspan=&quot;2&quot; style=&quot;background-color: #fff; color: #202122; text-align: center;&quot;&gt;← Older revision&lt;/td&gt;
				&lt;td colspan=&quot;2&quot; style=&quot;background-color: #fff; color: #202122; text-align: center;&quot;&gt;Revision as of 12:02, 7 March 2026&lt;/td&gt;
				&lt;/tr&gt;&lt;tr&gt;&lt;td colspan=&quot;2&quot; class=&quot;diff-lineno&quot; id=&quot;mw-diff-left-l81&quot;&gt;Line 81:&lt;/td&gt;
&lt;td colspan=&quot;2&quot; class=&quot;diff-lineno&quot;&gt;Line 81:&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td class=&quot;diff-marker&quot;&gt;&lt;/td&gt;&lt;td style=&quot;background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;==References==&lt;/div&gt;&lt;/td&gt;&lt;td class=&quot;diff-marker&quot;&gt;&lt;/td&gt;&lt;td style=&quot;background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;==References==&lt;/div&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td class=&quot;diff-marker&quot;&gt;&lt;/td&gt;&lt;td style=&quot;background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;br&gt;&lt;/td&gt;&lt;td class=&quot;diff-marker&quot;&gt;&lt;/td&gt;&lt;td style=&quot;background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;br&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td class=&quot;diff-marker&quot; data-marker=&quot;−&quot;&gt;&lt;/td&gt;&lt;td style=&quot;color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #ffe49c; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;[[Category:Lasers]][[Category:Beams]][[Category:Physics &amp;amp; Engineering‏‎]]&lt;/div&gt;&lt;/td&gt;&lt;td class=&quot;diff-marker&quot; data-marker=&quot;+&quot;&gt;&lt;/td&gt;&lt;td style=&quot;color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #a3d3ff; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;[[Category:Lasers]][[Category:Beams]][[Category:Physics &amp;amp; Engineering‏‎&lt;ins style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;]][[Category:Physics &amp;amp; Math &amp;amp; Engineering&lt;/ins&gt;]]&lt;/div&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;/table&gt;</summary>
		<author><name>Lwcamp</name></author>
	</entry>
	<entry>
		<id>https://www.galacticlibrary.net/mediawiki-1.41.1/index.php?title=Jitter&amp;diff=3297&amp;oldid=prev</id>
		<title>Lwcamp: /* All that ugly math */</title>
		<link rel="alternate" type="text/html" href="https://www.galacticlibrary.net/mediawiki-1.41.1/index.php?title=Jitter&amp;diff=3297&amp;oldid=prev"/>
		<updated>2025-09-20T22:27:29Z</updated>

		<summary type="html">&lt;p&gt;&lt;span dir=&quot;auto&quot;&gt;&lt;span class=&quot;autocomment&quot;&gt;All that ugly math&lt;/span&gt;&lt;/span&gt;&lt;/p&gt;
&lt;table style=&quot;background-color: #fff; color: #202122;&quot; data-mw=&quot;interface&quot;&gt;
				&lt;col class=&quot;diff-marker&quot; /&gt;
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				&lt;td colspan=&quot;2&quot; style=&quot;background-color: #fff; color: #202122; text-align: center;&quot;&gt;← Older revision&lt;/td&gt;
				&lt;td colspan=&quot;2&quot; style=&quot;background-color: #fff; color: #202122; text-align: center;&quot;&gt;Revision as of 15:27, 20 September 2025&lt;/td&gt;
				&lt;/tr&gt;&lt;tr&gt;&lt;td colspan=&quot;2&quot; class=&quot;diff-lineno&quot; id=&quot;mw-diff-left-l66&quot;&gt;Line 66:&lt;/td&gt;
&lt;td colspan=&quot;2&quot; class=&quot;diff-lineno&quot;&gt;Line 66:&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td class=&quot;diff-marker&quot;&gt;&lt;/td&gt;&lt;td style=&quot;background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;S &amp;amp;asymp; R σ.&lt;/div&gt;&lt;/td&gt;&lt;td class=&quot;diff-marker&quot;&gt;&lt;/td&gt;&lt;td style=&quot;background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;S &amp;amp;asymp; R σ.&lt;/div&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td class=&quot;diff-marker&quot;&gt;&lt;/td&gt;&lt;td style=&quot;background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;&amp;lt;/div&amp;gt;&lt;/div&gt;&lt;/td&gt;&lt;td class=&quot;diff-marker&quot;&gt;&lt;/td&gt;&lt;td style=&quot;background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;&amp;lt;/div&amp;gt;&lt;/div&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td class=&quot;diff-marker&quot; data-marker=&quot;−&quot;&gt;&lt;/td&gt;&lt;td style=&quot;color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #ffe49c; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;If your target &lt;del style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;has &lt;/del&gt;a profile area A in your view, your chance of hitting with a single shot will be approximately&lt;/div&gt;&lt;/td&gt;&lt;td class=&quot;diff-marker&quot; data-marker=&quot;+&quot;&gt;&lt;/td&gt;&lt;td style=&quot;color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #a3d3ff; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;If &lt;ins style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;S is much smaller than the cross sectional dimensions of &lt;/ins&gt;your target &lt;ins style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;in your field of view, jitter is unimportant to the problem of hitting your target.  If the jitter is much larger than the dimensions of your target hitting becomes a matter of probability.  For a target with &lt;/ins&gt;a profile area A in your view, your chance of hitting with a single shot &lt;ins style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;when the jitter S is much larger than your target &lt;/ins&gt;will be approximately&lt;/div&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td class=&quot;diff-marker&quot;&gt;&lt;/td&gt;&lt;td style=&quot;background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;&amp;lt;div class=&amp;quot;center&amp;quot; style=&amp;quot;width: auto; margin-left: auto; margin-right: auto;&amp;quot;&amp;gt;&lt;/div&gt;&lt;/td&gt;&lt;td class=&quot;diff-marker&quot;&gt;&lt;/td&gt;&lt;td style=&quot;background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;&amp;lt;div class=&amp;quot;center&amp;quot; style=&amp;quot;width: auto; margin-left: auto; margin-right: auto;&amp;quot;&amp;gt;&lt;/div&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td class=&quot;diff-marker&quot;&gt;&lt;/td&gt;&lt;td style=&quot;background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;p &amp;amp;asymp; 4 A / (π S&amp;amp;sup2;).&lt;/div&gt;&lt;/td&gt;&lt;td class=&quot;diff-marker&quot;&gt;&lt;/td&gt;&lt;td style=&quot;background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;p &amp;amp;asymp; 4 A / (π S&amp;amp;sup2;).&lt;/div&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;/table&gt;</summary>
		<author><name>Lwcamp</name></author>
	</entry>
	<entry>
		<id>https://www.galacticlibrary.net/mediawiki-1.41.1/index.php?title=Jitter&amp;diff=3254&amp;oldid=prev</id>
		<title>Lwcamp: /* How much jitter? */</title>
		<link rel="alternate" type="text/html" href="https://www.galacticlibrary.net/mediawiki-1.41.1/index.php?title=Jitter&amp;diff=3254&amp;oldid=prev"/>
		<updated>2025-07-23T01:55:39Z</updated>

		<summary type="html">&lt;p&gt;&lt;span dir=&quot;auto&quot;&gt;&lt;span class=&quot;autocomment&quot;&gt;How much jitter?&lt;/span&gt;&lt;/span&gt;&lt;/p&gt;
&lt;table style=&quot;background-color: #fff; color: #202122;&quot; data-mw=&quot;interface&quot;&gt;
				&lt;col class=&quot;diff-marker&quot; /&gt;
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				&lt;td colspan=&quot;2&quot; style=&quot;background-color: #fff; color: #202122; text-align: center;&quot;&gt;← Older revision&lt;/td&gt;
				&lt;td colspan=&quot;2&quot; style=&quot;background-color: #fff; color: #202122; text-align: center;&quot;&gt;Revision as of 18:55, 22 July 2025&lt;/td&gt;
				&lt;/tr&gt;&lt;tr&gt;&lt;td colspan=&quot;2&quot; class=&quot;diff-lineno&quot; id=&quot;mw-diff-left-l5&quot;&gt;Line 5:&lt;/td&gt;
&lt;td colspan=&quot;2&quot; class=&quot;diff-lineno&quot;&gt;Line 5:&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td class=&quot;diff-marker&quot;&gt;&lt;/td&gt;&lt;td style=&quot;background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;==How much jitter?==&lt;/div&gt;&lt;/td&gt;&lt;td class=&quot;diff-marker&quot;&gt;&lt;/td&gt;&lt;td style=&quot;background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;==How much jitter?==&lt;/div&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td class=&quot;diff-marker&quot;&gt;&lt;/td&gt;&lt;td style=&quot;background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;br&gt;&lt;/td&gt;&lt;td class=&quot;diff-marker&quot;&gt;&lt;/td&gt;&lt;td style=&quot;background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;br&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td class=&quot;diff-marker&quot; data-marker=&quot;−&quot;&gt;&lt;/td&gt;&lt;td style=&quot;color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #ffe49c; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;How much of a problem is jitter, really?  The angle base motion disturbance of satellites in orbit tend to be around a few tens of microradians (a few times 10&amp;lt;sup&amp;gt;-&lt;del style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;6&lt;/del&gt;&amp;lt;/sup&amp;gt; radians)&amp;lt;ref name=&quot;ADA464385&quot;&amp;gt;[https://apps.dtic.mil/sti/citations/ADA464385 J. Negro and S. Griffin, &quot;Inertially Stabilized Platforms for Precision Pointing: Applications to directed-energy weapons and space-based lasers&quot;, US Government report ADA464385, Aug 17 2006]&amp;lt;/ref&amp;gt;, while for aircraft in flight it can be closer to a few hundred microradians&amp;lt;ref name=&quot;ADA464385&quot;&amp;gt;&amp;lt;/ref&amp;gt;.  If this is not corrected, this is the jitter a weapons system will have to deal with.  Fortunately, there are ways to stabilize weapons mounts and reduce the native jitter of the parent vehicle&amp;lt;ref name=&quot;ADA464385&quot;&amp;gt;&amp;lt;/ref&amp;gt;.  As of 2006, a stable platform jitter reduction system can reduce the jitter by at least 42 dB (four orders of magnitude), and potentially more depending on the primary frequencies where the jitter is occurring&amp;lt;ref name=&quot;ADA464385&quot;&amp;gt;&amp;lt;/ref&amp;gt;.&lt;/div&gt;&lt;/td&gt;&lt;td class=&quot;diff-marker&quot; data-marker=&quot;+&quot;&gt;&lt;/td&gt;&lt;td style=&quot;color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #a3d3ff; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;How much of a problem is jitter, really?  The angle base motion disturbance of satellites in orbit tend to be around a few tens of microradians (a few times 10&amp;lt;sup&amp;gt;-&lt;ins style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;5&lt;/ins&gt;&amp;lt;/sup&amp;gt; radians)&amp;lt;ref name=&quot;ADA464385&quot;&amp;gt;[https://apps.dtic.mil/sti/citations/ADA464385 J. Negro and S. Griffin, &quot;Inertially Stabilized Platforms for Precision Pointing: Applications to directed-energy weapons and space-based lasers&quot;, US Government report ADA464385, Aug 17 2006]&amp;lt;/ref&amp;gt;, while for aircraft in flight it can be closer to a few hundred microradians&amp;lt;ref name=&quot;ADA464385&quot;&amp;gt;&amp;lt;/ref&amp;gt;.  If this is not corrected, this is the jitter a weapons system will have to deal with.  Fortunately, there are ways to stabilize weapons mounts and reduce the native jitter of the parent vehicle&amp;lt;ref name=&quot;ADA464385&quot;&amp;gt;&amp;lt;/ref&amp;gt;.  As of 2006, a stable platform jitter reduction system can reduce the jitter by at least 42 dB (four orders of magnitude), and potentially more depending on the primary frequencies where the jitter is occurring&amp;lt;ref name=&quot;ADA464385&quot;&amp;gt;&amp;lt;/ref&amp;gt;.&lt;/div&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td class=&quot;diff-marker&quot;&gt;&lt;/td&gt;&lt;td style=&quot;background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;br&gt;&lt;/td&gt;&lt;td class=&quot;diff-marker&quot;&gt;&lt;/td&gt;&lt;td style=&quot;background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;br&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td class=&quot;diff-marker&quot;&gt;&lt;/td&gt;&lt;td style=&quot;background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;We can look at modern telescopes for more information on the extent to which jitter affects directed energy weapons, because a telescope is really just a laser beam pointer operating in reverse.  What we see is that for visible and near-visible colors of light, you can put in enough work to get the jitter angles close enough to the limits imposed by diffraction or turbulence that they are no longer a problem&amp;lt;ref name=&amp;quot;Keck Telescope and Facility Instrument Guide&amp;quot;&amp;gt;[https://www2.keck.hawaii.edu/observing/kecktelgde/ktelinstupdate.pdf Keck Telescope and Facility Instrument Guide]&amp;lt;/ref&amp;gt;&amp;lt;ref name=&amp;quot;HST pointing control&amp;quot;&amp;gt;[https://www.nasa.gov/content/goddard/hubble-space-telescope-pointing-control-system Hubble Space Telescope: Observatory - Pointing Control]&amp;lt;/ref&amp;gt;&amp;lt;ref name=&amp;quot;Bely_May&amp;quot;&amp;gt;[https://www.sciencedirect.com/science/article/pii/S1474667017496881 P.Y.Bély and B.S.May, &amp;quot;The Pointing Stability of the Hubble Space Telescope and Proposed Concepts for the Pointing Control of the Next Generation Space Telescope (NGST)&amp;quot;, IFAC Proceedings Volumes, Volume 25, Issue 22, September 1992, Pages 457-462]&amp;lt;/ref&amp;gt;&amp;lt;ref name=&amp;quot;ELT&amp;quot;&amp;gt;Cédric Plantet, Benoît Neichel, Guido Agapito, Lorenzo Busoni, Carlos M. Correia, Thierry Fusco, Marco Bonaglia, and Simone Esposito, &amp;quot;Sky coverage assessment for the European ELT: a joint evaluation for MAORY/MICADO and HARMONI&amp;quot;, Journal of Astronomical Telescopes, Instruments, and Systems, Vol. 8, Issue 2, 021509 (May 2022). https://doi.org/10.1117/1.JATIS.8.2.021509&amp;lt;/ref&amp;gt;&amp;lt;ref name=&amp;quot;JWST&amp;quot;&amp;gt;[https://jwst-docs.stsci.edu/jwst-observatory-characteristics/jwst-pointing-performance JWST Pointing Performance]&amp;lt;/ref&amp;gt;.&lt;/div&gt;&lt;/td&gt;&lt;td class=&quot;diff-marker&quot;&gt;&lt;/td&gt;&lt;td style=&quot;background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;We can look at modern telescopes for more information on the extent to which jitter affects directed energy weapons, because a telescope is really just a laser beam pointer operating in reverse.  What we see is that for visible and near-visible colors of light, you can put in enough work to get the jitter angles close enough to the limits imposed by diffraction or turbulence that they are no longer a problem&amp;lt;ref name=&amp;quot;Keck Telescope and Facility Instrument Guide&amp;quot;&amp;gt;[https://www2.keck.hawaii.edu/observing/kecktelgde/ktelinstupdate.pdf Keck Telescope and Facility Instrument Guide]&amp;lt;/ref&amp;gt;&amp;lt;ref name=&amp;quot;HST pointing control&amp;quot;&amp;gt;[https://www.nasa.gov/content/goddard/hubble-space-telescope-pointing-control-system Hubble Space Telescope: Observatory - Pointing Control]&amp;lt;/ref&amp;gt;&amp;lt;ref name=&amp;quot;Bely_May&amp;quot;&amp;gt;[https://www.sciencedirect.com/science/article/pii/S1474667017496881 P.Y.Bély and B.S.May, &amp;quot;The Pointing Stability of the Hubble Space Telescope and Proposed Concepts for the Pointing Control of the Next Generation Space Telescope (NGST)&amp;quot;, IFAC Proceedings Volumes, Volume 25, Issue 22, September 1992, Pages 457-462]&amp;lt;/ref&amp;gt;&amp;lt;ref name=&amp;quot;ELT&amp;quot;&amp;gt;Cédric Plantet, Benoît Neichel, Guido Agapito, Lorenzo Busoni, Carlos M. Correia, Thierry Fusco, Marco Bonaglia, and Simone Esposito, &amp;quot;Sky coverage assessment for the European ELT: a joint evaluation for MAORY/MICADO and HARMONI&amp;quot;, Journal of Astronomical Telescopes, Instruments, and Systems, Vol. 8, Issue 2, 021509 (May 2022). https://doi.org/10.1117/1.JATIS.8.2.021509&amp;lt;/ref&amp;gt;&amp;lt;ref name=&amp;quot;JWST&amp;quot;&amp;gt;[https://jwst-docs.stsci.edu/jwst-observatory-characteristics/jwst-pointing-performance JWST Pointing Performance]&amp;lt;/ref&amp;gt;.&lt;/div&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;/table&gt;</summary>
		<author><name>Lwcamp</name></author>
	</entry>
	<entry>
		<id>https://www.galacticlibrary.net/mediawiki-1.41.1/index.php?title=Jitter&amp;diff=3149&amp;oldid=prev</id>
		<title>Lwcamp: /* All that ugly math */</title>
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		<updated>2025-04-08T23:15:16Z</updated>

		<summary type="html">&lt;p&gt;&lt;span dir=&quot;auto&quot;&gt;&lt;span class=&quot;autocomment&quot;&gt;All that ugly math&lt;/span&gt;&lt;/span&gt;&lt;/p&gt;
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				&lt;td colspan=&quot;2&quot; style=&quot;background-color: #fff; color: #202122; text-align: center;&quot;&gt;← Older revision&lt;/td&gt;
				&lt;td colspan=&quot;2&quot; style=&quot;background-color: #fff; color: #202122; text-align: center;&quot;&gt;Revision as of 16:15, 8 April 2025&lt;/td&gt;
				&lt;/tr&gt;&lt;tr&gt;&lt;td colspan=&quot;2&quot; class=&quot;diff-lineno&quot; id=&quot;mw-diff-left-l58&quot;&gt;Line 58:&lt;/td&gt;
&lt;td colspan=&quot;2&quot; class=&quot;diff-lineno&quot;&gt;Line 58:&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td class=&quot;diff-marker&quot;&gt;&lt;/td&gt;&lt;td style=&quot;background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;==All that ugly math==&lt;/div&gt;&lt;/td&gt;&lt;td class=&quot;diff-marker&quot;&gt;&lt;/td&gt;&lt;td style=&quot;background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;==All that ugly math==&lt;/div&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td class=&quot;diff-marker&quot;&gt;&lt;/td&gt;&lt;td style=&quot;background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;br&gt;&lt;/td&gt;&lt;td class=&quot;diff-marker&quot;&gt;&lt;/td&gt;&lt;td style=&quot;background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;br&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td class=&quot;diff-marker&quot; data-marker=&quot;−&quot;&gt;&lt;/td&gt;&lt;td style=&quot;color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #ffe49c; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;If you know the amount of jitter &lt;del style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;&amp;lt;math&amp;gt;\sigma_j&amp;lt;/math&amp;gt; &lt;/del&gt;of your beam pointer in radians, at a range of &lt;del style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;&amp;lt;math&amp;gt;&lt;/del&gt;R&lt;del style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;&amp;lt;/math&amp;gt; &lt;/del&gt;the diameter of the spot your beam will wander over is  &lt;/div&gt;&lt;/td&gt;&lt;td class=&quot;diff-marker&quot; data-marker=&quot;+&quot;&gt;&lt;/td&gt;&lt;td style=&quot;color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #a3d3ff; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;If you know the amount of jitter &lt;ins style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;σ &lt;/ins&gt;of your beam pointer in radians, at a range of R the diameter of the spot your beam will wander over is  &lt;/div&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td class=&quot;diff-marker&quot; data-marker=&quot;−&quot;&gt;&lt;/td&gt;&lt;td style=&quot;color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #ffe49c; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;&amp;lt;div class=&quot;center&quot; style=&quot;width: auto; margin-left: auto; margin-right: auto;&quot;&lt;del style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;&amp;gt;&amp;lt;math&lt;/del&gt;&amp;gt;&lt;/div&gt;&lt;/td&gt;&lt;td class=&quot;diff-marker&quot; data-marker=&quot;+&quot;&gt;&lt;/td&gt;&lt;td style=&quot;color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #a3d3ff; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;&amp;lt;div class=&quot;center&quot; style=&quot;width: auto; margin-left: auto; margin-right: auto;&quot;&amp;gt;&lt;/div&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td class=&quot;diff-marker&quot; data-marker=&quot;−&quot;&gt;&lt;/td&gt;&lt;td style=&quot;color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #ffe49c; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;&lt;del style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;S_j &lt;/del&gt;= 2 &lt;del style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;\, &lt;/del&gt;R &lt;del style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;\, \&lt;/del&gt;tan(&lt;del style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;\sigma_j&lt;/del&gt;/2).&lt;/div&gt;&lt;/td&gt;&lt;td class=&quot;diff-marker&quot; data-marker=&quot;+&quot;&gt;&lt;/td&gt;&lt;td style=&quot;color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #a3d3ff; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;&lt;ins style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;S &lt;/ins&gt;= 2 R tan(&lt;ins style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;σ&lt;/ins&gt;/2).&lt;/div&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td class=&quot;diff-marker&quot; data-marker=&quot;−&quot;&gt;&lt;/td&gt;&lt;td style=&quot;color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #ffe49c; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;&lt;del style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;&amp;lt;/math&amp;gt;&lt;/del&gt;&amp;lt;/div&amp;gt;&lt;/div&gt;&lt;/td&gt;&lt;td class=&quot;diff-marker&quot; data-marker=&quot;+&quot;&gt;&lt;/td&gt;&lt;td style=&quot;color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #a3d3ff; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;&amp;lt;/div&amp;gt;&lt;/div&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td class=&quot;diff-marker&quot;&gt;&lt;/td&gt;&lt;td style=&quot;background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;For small jitter angles (and if your weapon is going to be at all useful, the angles had better be small), this is approximately&lt;/div&gt;&lt;/td&gt;&lt;td class=&quot;diff-marker&quot;&gt;&lt;/td&gt;&lt;td style=&quot;background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;For small jitter angles (and if your weapon is going to be at all useful, the angles had better be small), this is approximately&lt;/div&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td class=&quot;diff-marker&quot; data-marker=&quot;−&quot;&gt;&lt;/td&gt;&lt;td style=&quot;color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #ffe49c; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;&amp;lt;div class=&quot;center&quot; style=&quot;width: auto; margin-left: auto; margin-right: auto;&quot;&lt;del style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;&amp;gt;&amp;lt;math&lt;/del&gt;&amp;gt;&lt;/div&gt;&lt;/td&gt;&lt;td class=&quot;diff-marker&quot; data-marker=&quot;+&quot;&gt;&lt;/td&gt;&lt;td style=&quot;color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #a3d3ff; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;&amp;lt;div class=&quot;center&quot; style=&quot;width: auto; margin-left: auto; margin-right: auto;&quot;&amp;gt;&lt;/div&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td class=&quot;diff-marker&quot; data-marker=&quot;−&quot;&gt;&lt;/td&gt;&lt;td style=&quot;color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #ffe49c; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;&lt;del style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;S_j \approx &lt;/del&gt;R &lt;del style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;\, \sigma_j&lt;/del&gt;.&lt;/div&gt;&lt;/td&gt;&lt;td class=&quot;diff-marker&quot; data-marker=&quot;+&quot;&gt;&lt;/td&gt;&lt;td style=&quot;color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #a3d3ff; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;&lt;ins style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;S &amp;amp;asymp; &lt;/ins&gt;R &lt;ins style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;σ&lt;/ins&gt;.&lt;/div&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td class=&quot;diff-marker&quot; data-marker=&quot;−&quot;&gt;&lt;/td&gt;&lt;td style=&quot;color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #ffe49c; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;&lt;del style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;&amp;lt;/math&amp;gt;&lt;/del&gt;&amp;lt;/div&amp;gt;&lt;/div&gt;&lt;/td&gt;&lt;td class=&quot;diff-marker&quot; data-marker=&quot;+&quot;&gt;&lt;/td&gt;&lt;td style=&quot;color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #a3d3ff; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;&amp;lt;/div&amp;gt;&lt;/div&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td class=&quot;diff-marker&quot; data-marker=&quot;−&quot;&gt;&lt;/td&gt;&lt;td style=&quot;color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #ffe49c; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;If your target has a profile area &lt;del style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;&amp;lt;math&amp;gt;&lt;/del&gt;A&lt;del style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;&amp;lt;/math&amp;gt; &lt;/del&gt;in your view, your chance of hitting with a single shot will be approximately&lt;/div&gt;&lt;/td&gt;&lt;td class=&quot;diff-marker&quot; data-marker=&quot;+&quot;&gt;&lt;/td&gt;&lt;td style=&quot;color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #a3d3ff; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;If your target has a profile area A in your view, your chance of hitting with a single shot will be approximately&lt;/div&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td class=&quot;diff-marker&quot; data-marker=&quot;−&quot;&gt;&lt;/td&gt;&lt;td style=&quot;color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #ffe49c; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;&amp;lt;div class=&quot;center&quot; style=&quot;width: auto; margin-left: auto; margin-right: auto;&quot;&lt;del style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;&amp;gt;&amp;lt;math&lt;/del&gt;&amp;gt;&lt;/div&gt;&lt;/td&gt;&lt;td class=&quot;diff-marker&quot; data-marker=&quot;+&quot;&gt;&lt;/td&gt;&lt;td style=&quot;color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #a3d3ff; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;&amp;lt;div class=&quot;center&quot; style=&quot;width: auto; margin-left: auto; margin-right: auto;&quot;&amp;gt;&lt;/div&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td class=&quot;diff-marker&quot; data-marker=&quot;−&quot;&gt;&lt;/td&gt;&lt;td style=&quot;color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #ffe49c; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;p &lt;del style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;\approx \frac{&lt;/del&gt;A&lt;del style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;}{&lt;/del&gt;(&lt;del style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;\pi/4&lt;/del&gt;) &lt;del style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;\, S_j^2}&lt;/del&gt;.&lt;/div&gt;&lt;/td&gt;&lt;td class=&quot;diff-marker&quot; data-marker=&quot;+&quot;&gt;&lt;/td&gt;&lt;td style=&quot;color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #a3d3ff; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;p &lt;ins style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;&amp;amp;asymp; 4 &lt;/ins&gt;A &lt;ins style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;/ &lt;/ins&gt;(&lt;ins style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;π S&amp;amp;sup2;&lt;/ins&gt;).&lt;/div&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td class=&quot;diff-marker&quot; data-marker=&quot;−&quot;&gt;&lt;/td&gt;&lt;td style=&quot;color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #ffe49c; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;&lt;del style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;&amp;lt;/math&amp;gt;&lt;/del&gt;&amp;lt;/div&amp;gt;&lt;/div&gt;&lt;/td&gt;&lt;td class=&quot;diff-marker&quot; data-marker=&quot;+&quot;&gt;&lt;/td&gt;&lt;td style=&quot;color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #a3d3ff; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;&amp;lt;/div&amp;gt;&lt;/div&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td class=&quot;diff-marker&quot;&gt;&lt;/td&gt;&lt;td style=&quot;background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;br&gt;&lt;/td&gt;&lt;td class=&quot;diff-marker&quot;&gt;&lt;/td&gt;&lt;td style=&quot;background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;br&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td class=&quot;diff-marker&quot; data-marker=&quot;−&quot;&gt;&lt;/td&gt;&lt;td style=&quot;color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #ffe49c; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;If you have an acceptable probability of hit &lt;del style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;&amp;lt;math&amp;gt;&lt;/del&gt;p&lt;del style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;&amp;lt;/math&amp;gt; &lt;/del&gt;you&#039;re willing to begin firing at a target with profile area &lt;del style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;&amp;lt;math&amp;gt;&lt;/del&gt;A&lt;del style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;&amp;lt;/math&amp;gt;&lt;/del&gt;, then the range at which you may fire when ready is approximately:&lt;/div&gt;&lt;/td&gt;&lt;td class=&quot;diff-marker&quot; data-marker=&quot;+&quot;&gt;&lt;/td&gt;&lt;td style=&quot;color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #a3d3ff; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;If you have an acceptable probability of hit p you&#039;re willing to begin firing at a target with profile area A, then the range at which you may fire when ready is approximately:&lt;/div&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td class=&quot;diff-marker&quot; data-marker=&quot;−&quot;&gt;&lt;/td&gt;&lt;td style=&quot;color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #ffe49c; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;&amp;lt;div class=&quot;center&quot; style=&quot;width: auto; margin-left: auto; margin-right: auto;&quot;&lt;del style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;&amp;gt;&amp;lt;math&lt;/del&gt;&amp;gt;&lt;/div&gt;&lt;/td&gt;&lt;td class=&quot;diff-marker&quot; data-marker=&quot;+&quot;&gt;&lt;/td&gt;&lt;td style=&quot;color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #a3d3ff; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;&amp;lt;div class=&quot;center&quot; style=&quot;width: auto; margin-left: auto; margin-right: auto;&quot;&amp;gt;&lt;/div&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td class=&quot;diff-marker&quot; data-marker=&quot;−&quot;&gt;&lt;/td&gt;&lt;td style=&quot;color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #ffe49c; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;R &lt;del style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;\approx \sqrt{\frac{&lt;/del&gt;A&lt;del style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;}{(\pi&lt;/del&gt;/&lt;del style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;4) \, &lt;/del&gt;(&lt;del style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;\sigma_j)^2 \, &lt;/del&gt;p&lt;del style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;} } = \sqrt{\frac{4 \times A}{\pi \, p\, (\sigma_j&lt;/del&gt;)&lt;del style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;^2 } }&lt;/del&gt;.&lt;/div&gt;&lt;/td&gt;&lt;td class=&quot;diff-marker&quot; data-marker=&quot;+&quot;&gt;&lt;/td&gt;&lt;td style=&quot;color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #a3d3ff; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;R &lt;ins style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;&amp;amp;asymp; √[4 &lt;/ins&gt;A / (&lt;ins style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;π &lt;/ins&gt;p &lt;ins style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;σ&amp;amp;sup2;&lt;/ins&gt;) &lt;ins style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;]&lt;/ins&gt;.&lt;/div&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td class=&quot;diff-marker&quot; data-marker=&quot;−&quot;&gt;&lt;/td&gt;&lt;td style=&quot;color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #ffe49c; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;&lt;del style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;&amp;lt;/math&amp;gt;&lt;/del&gt;&amp;lt;/div&amp;gt;&lt;/div&gt;&lt;/td&gt;&lt;td class=&quot;diff-marker&quot; data-marker=&quot;+&quot;&gt;&lt;/td&gt;&lt;td style=&quot;color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #a3d3ff; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;&amp;lt;/div&amp;gt;&lt;/div&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td class=&quot;diff-marker&quot;&gt;&lt;/td&gt;&lt;td style=&quot;background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;br&gt;&lt;/td&gt;&lt;td class=&quot;diff-marker&quot;&gt;&lt;/td&gt;&lt;td style=&quot;background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;br&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td class=&quot;diff-marker&quot;&gt;&lt;/td&gt;&lt;td style=&quot;background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;==Credit==&lt;/div&gt;&lt;/td&gt;&lt;td class=&quot;diff-marker&quot;&gt;&lt;/td&gt;&lt;td style=&quot;background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;==Credit==&lt;/div&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;/table&gt;</summary>
		<author><name>Lwcamp</name></author>
	</entry>
	<entry>
		<id>https://www.galacticlibrary.net/mediawiki-1.41.1/index.php?title=Jitter&amp;diff=3116&amp;oldid=prev</id>
		<title>Lwcamp: /* How much jitter? */</title>
		<link rel="alternate" type="text/html" href="https://www.galacticlibrary.net/mediawiki-1.41.1/index.php?title=Jitter&amp;diff=3116&amp;oldid=prev"/>
		<updated>2025-03-23T22:56:52Z</updated>

		<summary type="html">&lt;p&gt;&lt;span dir=&quot;auto&quot;&gt;&lt;span class=&quot;autocomment&quot;&gt;How much jitter?&lt;/span&gt;&lt;/span&gt;&lt;/p&gt;
&lt;table style=&quot;background-color: #fff; color: #202122;&quot; data-mw=&quot;interface&quot;&gt;
				&lt;col class=&quot;diff-marker&quot; /&gt;
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				&lt;td colspan=&quot;2&quot; style=&quot;background-color: #fff; color: #202122; text-align: center;&quot;&gt;← Older revision&lt;/td&gt;
				&lt;td colspan=&quot;2&quot; style=&quot;background-color: #fff; color: #202122; text-align: center;&quot;&gt;Revision as of 15:56, 23 March 2025&lt;/td&gt;
				&lt;/tr&gt;&lt;tr&gt;&lt;td colspan=&quot;2&quot; class=&quot;diff-lineno&quot; id=&quot;mw-diff-left-l22&quot;&gt;Line 22:&lt;/td&gt;
&lt;td colspan=&quot;2&quot; class=&quot;diff-lineno&quot;&gt;Line 22:&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td class=&quot;diff-marker&quot;&gt;&lt;/td&gt;&lt;td style=&quot;background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;&amp;lt;table border=1&amp;gt;&lt;/div&gt;&lt;/td&gt;&lt;td class=&quot;diff-marker&quot;&gt;&lt;/td&gt;&lt;td style=&quot;background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;&amp;lt;table border=1&amp;gt;&lt;/div&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td class=&quot;diff-marker&quot;&gt;&lt;/td&gt;&lt;td style=&quot;background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;&amp;lt;tr&amp;gt;&amp;lt;td&amp;gt; Instrument &amp;lt;td&amp;gt; Jitter (radians)&lt;/div&gt;&lt;/td&gt;&lt;td class=&quot;diff-marker&quot;&gt;&lt;/td&gt;&lt;td style=&quot;background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;&amp;lt;tr&amp;gt;&amp;lt;td&amp;gt; Instrument &amp;lt;td&amp;gt; Jitter (radians)&lt;/div&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td class=&quot;diff-marker&quot; data-marker=&quot;−&quot;&gt;&lt;/td&gt;&lt;td style=&quot;color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #ffe49c; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;&amp;lt;tr&amp;gt;&amp;lt;td&amp;gt; Keck Telescope &amp;lt;td&lt;del style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;&amp;gt; &amp;lt;math&lt;/del&gt;&amp;gt;3.9&lt;del style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;\&lt;/del&gt;times 10&lt;del style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;^{&lt;/del&gt;-7&lt;del style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;}&lt;/del&gt;&amp;lt;/&lt;del style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;math&lt;/del&gt;&amp;gt;&amp;lt;ref name=&quot;Keck Telescope and Facility Instrument Guide&quot;&amp;gt;&amp;lt;/ref&amp;gt;&lt;/div&gt;&lt;/td&gt;&lt;td class=&quot;diff-marker&quot; data-marker=&quot;+&quot;&gt;&lt;/td&gt;&lt;td style=&quot;color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #a3d3ff; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;&amp;lt;tr&amp;gt;&amp;lt;td&amp;gt; Keck Telescope &amp;lt;td&amp;gt; 3.9 &lt;ins style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;&amp;amp;&lt;/ins&gt;times&lt;ins style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;; &lt;/ins&gt;10&lt;ins style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;&amp;lt;sup&amp;gt;&lt;/ins&gt;-7&amp;lt;/&lt;ins style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;sup&lt;/ins&gt;&amp;gt;&amp;lt;ref name=&quot;Keck Telescope and Facility Instrument Guide&quot;&amp;gt;&amp;lt;/ref&amp;gt;&lt;/div&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td class=&quot;diff-marker&quot; data-marker=&quot;−&quot;&gt;&lt;/td&gt;&lt;td style=&quot;color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #ffe49c; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;&amp;lt;tr&amp;gt;&amp;lt;td&amp;gt; Hubble Space Telescope &amp;lt;td&lt;del style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;&amp;gt; &amp;lt;math&lt;/del&gt;&amp;gt;3.4&lt;del style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;\&lt;/del&gt;times 10&lt;del style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;^{&lt;/del&gt;-8&lt;del style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;}&lt;/del&gt;&amp;lt;/&lt;del style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;math&lt;/del&gt;&amp;gt;&amp;lt;ref name=&quot;HST pointing control&quot;&amp;gt;&amp;lt;/ref&amp;gt;&amp;lt;ref name=&quot;Bely_May&quot;&amp;gt;&amp;lt;/ref&amp;gt;&lt;/div&gt;&lt;/td&gt;&lt;td class=&quot;diff-marker&quot; data-marker=&quot;+&quot;&gt;&lt;/td&gt;&lt;td style=&quot;color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #a3d3ff; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;&amp;lt;tr&amp;gt;&amp;lt;td&amp;gt; Hubble Space Telescope &amp;lt;td&amp;gt; 3.4 &lt;ins style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;&amp;amp;&lt;/ins&gt;times&lt;ins style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;; &lt;/ins&gt;10&lt;ins style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;&amp;lt;sup&amp;gt;&lt;/ins&gt;-8&amp;lt;/&lt;ins style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;sup&lt;/ins&gt;&amp;gt;&amp;lt;ref name=&quot;HST pointing control&quot;&amp;gt;&amp;lt;/ref&amp;gt;&amp;lt;ref name=&quot;Bely_May&quot;&amp;gt;&amp;lt;/ref&amp;gt;&lt;/div&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td class=&quot;diff-marker&quot; data-marker=&quot;−&quot;&gt;&lt;/td&gt;&lt;td style=&quot;color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #ffe49c; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;&amp;lt;tr&amp;gt;&amp;lt;td&amp;gt; James Webb Space Telescope &amp;lt;td&lt;del style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;&amp;gt; &amp;lt;math&lt;/del&gt;&amp;gt;4.8&lt;del style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;\&lt;/del&gt;times 10&lt;del style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;^{&lt;/del&gt;-9&lt;del style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;}&lt;/del&gt;&amp;lt;/&lt;del style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;math&lt;/del&gt;&amp;gt;&amp;lt;ref name=&quot;JWST&quot;&amp;gt;&amp;lt;/ref&amp;gt;&lt;/div&gt;&lt;/td&gt;&lt;td class=&quot;diff-marker&quot; data-marker=&quot;+&quot;&gt;&lt;/td&gt;&lt;td style=&quot;color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #a3d3ff; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;&amp;lt;tr&amp;gt;&amp;lt;td&amp;gt; James Webb Space Telescope &amp;lt;td&amp;gt; 4.8 &lt;ins style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;&amp;amp;&lt;/ins&gt;times&lt;ins style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;; &lt;/ins&gt;10&lt;ins style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;&amp;lt;sup&amp;gt;&lt;/ins&gt;-9&amp;lt;/&lt;ins style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;sup&lt;/ins&gt;&amp;gt;&amp;lt;ref name=&quot;JWST&quot;&amp;gt;&amp;lt;/ref&amp;gt;&lt;/div&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td class=&quot;diff-marker&quot; data-marker=&quot;−&quot;&gt;&lt;/td&gt;&lt;td style=&quot;color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #ffe49c; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;&amp;lt;tr&amp;gt;&amp;lt;td&amp;gt; Extremely Large Telescope (predicted) &amp;lt;td&lt;del style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;&amp;gt; &amp;lt;math&lt;/del&gt;&amp;gt;5 &lt;del style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;\&lt;/del&gt;times 10&lt;del style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;^{&lt;/del&gt;-8&lt;del style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;}&lt;/del&gt;&amp;lt;/&lt;del style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;math&lt;/del&gt;&amp;gt; &amp;amp;ndash; &lt;del style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;&amp;lt;math&amp;gt;&lt;/del&gt;1 &lt;del style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;\&lt;/del&gt;times 10&lt;del style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;^{&lt;/del&gt;-8&lt;del style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;}&lt;/del&gt;&amp;lt;/&lt;del style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;math&lt;/del&gt;&amp;gt;&amp;lt;ref name=&quot;ELT&quot;&amp;gt;&amp;lt;/ref&amp;gt;&lt;/div&gt;&lt;/td&gt;&lt;td class=&quot;diff-marker&quot; data-marker=&quot;+&quot;&gt;&lt;/td&gt;&lt;td style=&quot;color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #a3d3ff; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;&amp;lt;tr&amp;gt;&amp;lt;td&amp;gt; Extremely Large Telescope (predicted) &amp;lt;td&amp;gt; 5 &lt;ins style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;&amp;amp;&lt;/ins&gt;times&lt;ins style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;; &lt;/ins&gt;10&lt;ins style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;&amp;lt;sup&amp;gt;&lt;/ins&gt;-8&amp;lt;/&lt;ins style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;sup&lt;/ins&gt;&amp;gt; &amp;amp;ndash; 1 &lt;ins style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;&amp;amp;&lt;/ins&gt;times&lt;ins style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;; &lt;/ins&gt;10&lt;ins style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;&amp;lt;sup&amp;gt;&lt;/ins&gt;-8&amp;lt;/&lt;ins style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;sup&lt;/ins&gt;&amp;gt;&amp;lt;ref name=&quot;ELT&quot;&amp;gt;&amp;lt;/ref&amp;gt;&lt;/div&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td class=&quot;diff-marker&quot; data-marker=&quot;−&quot;&gt;&lt;/td&gt;&lt;td style=&quot;color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #ffe49c; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;&amp;lt;tr&amp;gt;&amp;lt;td&amp;gt; Stratospheric Observatory for Infrared Astronomy (SOFIA) &amp;lt;td&lt;del style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;&amp;gt; &amp;lt;math&lt;/del&gt;&amp;gt;1.0 &lt;del style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;\&lt;/del&gt;times 10&lt;del style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;^{&lt;/del&gt;-5&lt;del style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;}&lt;/del&gt;&amp;lt;/&lt;del style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;math&lt;/del&gt;&amp;gt; &amp;amp;ndash; &lt;del style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;&amp;lt;math&amp;gt;&lt;/del&gt;2.0 &lt;del style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;\&lt;/del&gt;times 10&lt;del style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;^{&lt;/del&gt;-6&lt;del style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;}&lt;/del&gt;&amp;lt;/&lt;del style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;math&lt;/del&gt;&amp;gt;&amp;lt;ref name=&quot;SOFIA Observer&#039;s Handbook&quot;&amp;gt;&amp;lt;/ref&amp;gt;&amp;lt;ref name=&quot;simulating SOFIA&quot;&amp;gt;&amp;lt;/ref&amp;gt;&lt;/div&gt;&lt;/td&gt;&lt;td class=&quot;diff-marker&quot; data-marker=&quot;+&quot;&gt;&lt;/td&gt;&lt;td style=&quot;color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #a3d3ff; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;&amp;lt;tr&amp;gt;&amp;lt;td&amp;gt; Stratospheric Observatory for Infrared Astronomy (SOFIA) &amp;lt;td&amp;gt; 1.0 &lt;ins style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;&amp;amp;&lt;/ins&gt;times&lt;ins style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;; &lt;/ins&gt;10&lt;ins style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;&amp;lt;sup&amp;gt;&lt;/ins&gt;-5&amp;lt;/&lt;ins style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;sup&lt;/ins&gt;&amp;gt; &amp;amp;ndash; 2.0 &lt;ins style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;&amp;amp;&lt;/ins&gt;times&lt;ins style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;; &lt;/ins&gt;10&lt;ins style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;&amp;lt;sup&amp;gt;&lt;/ins&gt;-6&amp;lt;/&lt;ins style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;sup&lt;/ins&gt;&amp;gt;&amp;lt;ref name=&quot;SOFIA Observer&#039;s Handbook&quot;&amp;gt;&amp;lt;/ref&amp;gt;&amp;lt;ref name=&quot;simulating SOFIA&quot;&amp;gt;&amp;lt;/ref&amp;gt;&lt;/div&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td class=&quot;diff-marker&quot; data-marker=&quot;−&quot;&gt;&lt;/td&gt;&lt;td style=&quot;color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #ffe49c; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;&amp;lt;tr&amp;gt;&amp;lt;td&amp;gt; Boeing YAL-1 &amp;lt;td&lt;del style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;&amp;gt; &amp;lt;math&lt;/del&gt;&amp;gt;1.0 &lt;del style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;\&lt;/del&gt;times 10&lt;del style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;^{&lt;/del&gt;-6&lt;del style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;}&lt;/del&gt;&amp;lt;/&lt;del style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;math&lt;/del&gt;&amp;gt;&amp;lt;ref&amp;gt;[https://apps.dtic.mil/sti/citations/ADA451655 Roger M. Glaese, Eric H. Anderson, and Paul C. Janzen, &quot;Active Suppression of Acoustically Induced Jitter for the Airborne Laser&quot; ADA451655]&amp;lt;/ref&amp;gt;&lt;/div&gt;&lt;/td&gt;&lt;td class=&quot;diff-marker&quot; data-marker=&quot;+&quot;&gt;&lt;/td&gt;&lt;td style=&quot;color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #a3d3ff; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;&amp;lt;tr&amp;gt;&amp;lt;td&amp;gt; Boeing YAL-1 &amp;lt;td&amp;gt; 1.0 &lt;ins style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;&amp;amp;&lt;/ins&gt;times&lt;ins style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;; &lt;/ins&gt;10&lt;ins style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;&amp;lt;sup&amp;gt;&lt;/ins&gt;-6&amp;lt;/&lt;ins style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;sup&lt;/ins&gt;&amp;gt;&amp;lt;ref&amp;gt;[https://apps.dtic.mil/sti/citations/ADA451655 Roger M. Glaese, Eric H. Anderson, and Paul C. Janzen, &quot;Active Suppression of Acoustically Induced Jitter for the Airborne Laser&quot; ADA451655]&amp;lt;/ref&amp;gt;&lt;/div&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td class=&quot;diff-marker&quot; data-marker=&quot;−&quot;&gt;&lt;/td&gt;&lt;td style=&quot;color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #ffe49c; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;&amp;lt;tr&amp;gt;&amp;lt;td&amp;gt; Space Integrated Controls Experiment (SPICE) &amp;lt;td&lt;del style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;&amp;gt; &amp;lt;math&lt;/del&gt;&amp;gt;2 &lt;del style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;\&lt;/del&gt;times 10&lt;del style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;^{&lt;/del&gt;-7&lt;del style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;}&lt;/del&gt;&amp;lt;/&lt;del style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;math&lt;/del&gt;&amp;gt;&amp;lt;ref name=&quot;SPICE Precision Pointing Experiment&quot;&amp;gt;&amp;lt;/ref&amp;gt;&amp;lt;ref name=&quot;SPICE Program&quot;&amp;gt;&amp;lt;/ref&amp;gt;&lt;/div&gt;&lt;/td&gt;&lt;td class=&quot;diff-marker&quot; data-marker=&quot;+&quot;&gt;&lt;/td&gt;&lt;td style=&quot;color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #a3d3ff; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;&amp;lt;tr&amp;gt;&amp;lt;td&amp;gt; Space Integrated Controls Experiment (SPICE) &amp;lt;td&amp;gt; 2 &lt;ins style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;&amp;amp;&lt;/ins&gt;times&lt;ins style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;; &lt;/ins&gt;10&lt;ins style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;&amp;lt;sup&amp;gt;&lt;/ins&gt;-7&amp;lt;/&lt;ins style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;sup&lt;/ins&gt;&amp;gt;&amp;lt;ref name=&quot;SPICE Precision Pointing Experiment&quot;&amp;gt;&amp;lt;/ref&amp;gt;&amp;lt;ref name=&quot;SPICE Program&quot;&amp;gt;&amp;lt;/ref&amp;gt;&lt;/div&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td class=&quot;diff-marker&quot; data-marker=&quot;−&quot;&gt;&lt;/td&gt;&lt;td style=&quot;color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #ffe49c; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;&amp;lt;tr&amp;gt;&amp;lt;td&amp;gt; Space Active Vibration Isolation (SAVI) &amp;lt;td&lt;del style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;&amp;gt; &amp;lt;math&lt;/del&gt;&amp;gt;1 &lt;del style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;\&lt;/del&gt;times 10&lt;del style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;^{&lt;/del&gt;-7&lt;del style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;}&lt;/del&gt;&amp;lt;/&lt;del style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;math&lt;/del&gt;&amp;gt;&amp;lt;ref name=&quot;SAVI&quot;&amp;gt;&amp;lt;/ref&amp;gt;&lt;/div&gt;&lt;/td&gt;&lt;td class=&quot;diff-marker&quot; data-marker=&quot;+&quot;&gt;&lt;/td&gt;&lt;td style=&quot;color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #a3d3ff; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;&amp;lt;tr&amp;gt;&amp;lt;td&amp;gt; Space Active Vibration Isolation (SAVI) &amp;lt;td&amp;gt; 1 &lt;ins style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;&amp;amp;&lt;/ins&gt;times&lt;ins style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;; &lt;/ins&gt;10&lt;ins style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;&amp;lt;sup&amp;gt;&lt;/ins&gt;-7&amp;lt;/&lt;ins style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;sup&lt;/ins&gt;&amp;gt;&amp;lt;ref name=&quot;SAVI&quot;&amp;gt;&amp;lt;/ref&amp;gt;&lt;/div&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td class=&quot;diff-marker&quot;&gt;&lt;/td&gt;&lt;td style=&quot;background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;&amp;lt;/table&amp;gt;&lt;/div&gt;&lt;/td&gt;&lt;td class=&quot;diff-marker&quot;&gt;&lt;/td&gt;&lt;td style=&quot;background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;&amp;lt;/table&amp;gt;&lt;/div&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td class=&quot;diff-marker&quot;&gt;&lt;/td&gt;&lt;td style=&quot;background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;br&gt;&lt;/td&gt;&lt;td class=&quot;diff-marker&quot;&gt;&lt;/td&gt;&lt;td style=&quot;background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;br&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;/table&gt;</summary>
		<author><name>Lwcamp</name></author>
	</entry>
	<entry>
		<id>https://www.galacticlibrary.net/mediawiki-1.41.1/index.php?title=Jitter&amp;diff=3115&amp;oldid=prev</id>
		<title>Lwcamp: /* How much jitter? */</title>
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		<updated>2025-03-23T22:52:53Z</updated>

		<summary type="html">&lt;p&gt;&lt;span dir=&quot;auto&quot;&gt;&lt;span class=&quot;autocomment&quot;&gt;How much jitter?&lt;/span&gt;&lt;/span&gt;&lt;/p&gt;
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				&lt;td colspan=&quot;2&quot; style=&quot;background-color: #fff; color: #202122; text-align: center;&quot;&gt;← Older revision&lt;/td&gt;
				&lt;td colspan=&quot;2&quot; style=&quot;background-color: #fff; color: #202122; text-align: center;&quot;&gt;Revision as of 15:52, 23 March 2025&lt;/td&gt;
				&lt;/tr&gt;&lt;tr&gt;&lt;td colspan=&quot;2&quot; class=&quot;diff-lineno&quot; id=&quot;mw-diff-left-l5&quot;&gt;Line 5:&lt;/td&gt;
&lt;td colspan=&quot;2&quot; class=&quot;diff-lineno&quot;&gt;Line 5:&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td class=&quot;diff-marker&quot;&gt;&lt;/td&gt;&lt;td style=&quot;background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;==How much jitter?==&lt;/div&gt;&lt;/td&gt;&lt;td class=&quot;diff-marker&quot;&gt;&lt;/td&gt;&lt;td style=&quot;background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;==How much jitter?==&lt;/div&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td class=&quot;diff-marker&quot;&gt;&lt;/td&gt;&lt;td style=&quot;background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;br&gt;&lt;/td&gt;&lt;td class=&quot;diff-marker&quot;&gt;&lt;/td&gt;&lt;td style=&quot;background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;br&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td class=&quot;diff-marker&quot; data-marker=&quot;−&quot;&gt;&lt;/td&gt;&lt;td style=&quot;color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #ffe49c; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;How much of a problem is jitter, really?  We can look at modern telescopes for &lt;del style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;some idea&lt;/del&gt;, because a telescope is really just a laser beam pointer operating in reverse.  What we see is that for visible and near-visible colors of light, you can put in enough work to get the jitter angles close enough to the limits imposed by diffraction or turbulence that they are no longer a problem&amp;lt;ref name=&quot;Keck Telescope and Facility Instrument Guide&quot;&amp;gt;[https://www2.keck.hawaii.edu/observing/kecktelgde/ktelinstupdate.pdf Keck Telescope and Facility Instrument Guide]&amp;lt;/ref&amp;gt;&amp;lt;ref name=&quot;HST pointing control&quot;&amp;gt;[https://www.nasa.gov/content/goddard/hubble-space-telescope-pointing-control-system Hubble Space Telescope: Observatory - Pointing Control]&amp;lt;/ref&amp;gt;&amp;lt;ref name=&quot;Bely_May&quot;&amp;gt;[https://www.sciencedirect.com/science/article/pii/S1474667017496881 P.Y.Bély and B.S.May, &quot;The Pointing Stability of the Hubble Space Telescope and Proposed Concepts for the Pointing Control of the Next Generation Space Telescope (NGST)&quot;, IFAC Proceedings Volumes, Volume 25, Issue 22, September 1992, Pages 457-462]&amp;lt;/ref&amp;gt;&amp;lt;ref name=&quot;ELT&quot;&amp;gt;Cédric Plantet, Benoît Neichel, Guido Agapito, Lorenzo Busoni, Carlos M. Correia, Thierry Fusco, Marco Bonaglia, and Simone Esposito, &quot;Sky coverage assessment for the European ELT: a joint evaluation for MAORY/MICADO and HARMONI&quot;, Journal of Astronomical Telescopes, Instruments, and Systems, Vol. 8, Issue 2, 021509 (May 2022). https://doi.org/10.1117/1.JATIS.8.2.021509&amp;lt;/ref&amp;gt;&amp;lt;ref name=&quot;JWST&quot;&amp;gt;[https://jwst-docs.stsci.edu/jwst-observatory-characteristics/jwst-pointing-performance JWST Pointing Performance]&amp;lt;/ref&amp;gt;.&lt;/div&gt;&lt;/td&gt;&lt;td class=&quot;diff-marker&quot; data-marker=&quot;+&quot;&gt;&lt;/td&gt;&lt;td style=&quot;color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #a3d3ff; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;How much of a problem is jitter, really?  &lt;ins style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;The angle base motion disturbance of satellites in orbit tend to be around a few tens of microradians (a few times 10&amp;lt;sup&amp;gt;-6&amp;lt;/sup&amp;gt; radians)&amp;lt;ref name=&quot;ADA464385&quot;&amp;gt;[https://apps.dtic.mil/sti/citations/ADA464385 J. Negro and S. Griffin, &quot;Inertially Stabilized Platforms for Precision Pointing: Applications to directed-energy weapons and space-based lasers&quot;, US Government report ADA464385, Aug 17 2006]&amp;lt;/ref&amp;gt;, while for aircraft in flight it can be closer to a few hundred microradians&amp;lt;ref name=&quot;ADA464385&quot;&amp;gt;&amp;lt;/ref&amp;gt;.  If this is not corrected, this is the jitter a weapons system will have to deal with.  Fortunately, there are ways to stabilize weapons mounts and reduce the native jitter of the parent vehicle&amp;lt;ref name=&quot;ADA464385&quot;&amp;gt;&amp;lt;/ref&amp;gt;.  As of 2006, a stable platform jitter reduction system can reduce the jitter by at least 42 dB (four orders of magnitude), and potentially more depending on the primary frequencies where the jitter is occurring&amp;lt;ref name=&quot;ADA464385&quot;&amp;gt;&amp;lt;/ref&amp;gt;.&lt;/ins&gt;&lt;/div&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td colspan=&quot;2&quot; class=&quot;diff-side-deleted&quot;&gt;&lt;/td&gt;&lt;td class=&quot;diff-marker&quot; data-marker=&quot;+&quot;&gt;&lt;/td&gt;&lt;td style=&quot;color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #a3d3ff; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt; &lt;/div&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td colspan=&quot;2&quot; class=&quot;diff-side-deleted&quot;&gt;&lt;/td&gt;&lt;td class=&quot;diff-marker&quot; data-marker=&quot;+&quot;&gt;&lt;/td&gt;&lt;td style=&quot;color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #a3d3ff; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;We can look at modern telescopes for &lt;ins style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;more information on the extent to which jitter affects directed energy weapons&lt;/ins&gt;, because a telescope is really just a laser beam pointer operating in reverse.  What we see is that for visible and near-visible colors of light, you can put in enough work to get the jitter angles close enough to the limits imposed by diffraction or turbulence that they are no longer a problem&amp;lt;ref name=&quot;Keck Telescope and Facility Instrument Guide&quot;&amp;gt;[https://www2.keck.hawaii.edu/observing/kecktelgde/ktelinstupdate.pdf Keck Telescope and Facility Instrument Guide]&amp;lt;/ref&amp;gt;&amp;lt;ref name=&quot;HST pointing control&quot;&amp;gt;[https://www.nasa.gov/content/goddard/hubble-space-telescope-pointing-control-system Hubble Space Telescope: Observatory - Pointing Control]&amp;lt;/ref&amp;gt;&amp;lt;ref name=&quot;Bely_May&quot;&amp;gt;[https://www.sciencedirect.com/science/article/pii/S1474667017496881 P.Y.Bély and B.S.May, &quot;The Pointing Stability of the Hubble Space Telescope and Proposed Concepts for the Pointing Control of the Next Generation Space Telescope (NGST)&quot;, IFAC Proceedings Volumes, Volume 25, Issue 22, September 1992, Pages 457-462]&amp;lt;/ref&amp;gt;&amp;lt;ref name=&quot;ELT&quot;&amp;gt;Cédric Plantet, Benoît Neichel, Guido Agapito, Lorenzo Busoni, Carlos M. Correia, Thierry Fusco, Marco Bonaglia, and Simone Esposito, &quot;Sky coverage assessment for the European ELT: a joint evaluation for MAORY/MICADO and HARMONI&quot;, Journal of Astronomical Telescopes, Instruments, and Systems, Vol. 8, Issue 2, 021509 (May 2022). https://doi.org/10.1117/1.JATIS.8.2.021509&amp;lt;/ref&amp;gt;&amp;lt;ref name=&quot;JWST&quot;&amp;gt;[https://jwst-docs.stsci.edu/jwst-observatory-characteristics/jwst-pointing-performance JWST Pointing Performance]&amp;lt;/ref&amp;gt;.&lt;/div&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td class=&quot;diff-marker&quot;&gt;&lt;/td&gt;&lt;td style=&quot;background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;If your diffraction-limited spot size is 1 cm across, no one will care if the point of aim is jumping around by 3 mm or so.  This is not trivial, but it is achievable.  And once they get the jitter control good enough, they stop trying to make it better because that would just be a needless expense.  In extreme cases, they’ve taken astronomical telescopes mounted on airplanes, subject not only to the vibrations of the turbines but also being buffeted by near-sonic wind speeds, and made the jitter small enough that you could get more-or-less diffraction-limited pictures at most wavelengths of interest&amp;lt;ref name=&amp;quot;SOFIA Observer&amp;#039;s Handbook&amp;quot;&amp;gt;[https://www.sofia.usra.edu/science/proposing-and-observing/sofia-observers-handbook-cycle-4/7-instruments-iv-forcast/71-2 SOFIA Observer&amp;#039;s Handbook for Cycle 4, 7.1.2 Camera Performance]&amp;lt;/ref&amp;gt;&amp;lt;ref name=&amp;quot;simulating SOFIA&amp;quot;&amp;gt;[https://www.researchgate.net/publication/319495615_Simulating_SOFIA&amp;#039;s_image_jitter_performance_and_how_the_results_compare_to_in-flight_measurements Simulating SOFIA&amp;#039;s image jitter performance and how the results compare to in-flight measurements]&amp;lt;/ref&amp;gt;.  So diffraction-limited operation of visible and near-visible colored lasers even in noisy and vibration prone environments looks to be achievable.&lt;/div&gt;&lt;/td&gt;&lt;td class=&quot;diff-marker&quot;&gt;&lt;/td&gt;&lt;td style=&quot;background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;If your diffraction-limited spot size is 1 cm across, no one will care if the point of aim is jumping around by 3 mm or so.  This is not trivial, but it is achievable.  And once they get the jitter control good enough, they stop trying to make it better because that would just be a needless expense.  In extreme cases, they’ve taken astronomical telescopes mounted on airplanes, subject not only to the vibrations of the turbines but also being buffeted by near-sonic wind speeds, and made the jitter small enough that you could get more-or-less diffraction-limited pictures at most wavelengths of interest&amp;lt;ref name=&amp;quot;SOFIA Observer&amp;#039;s Handbook&amp;quot;&amp;gt;[https://www.sofia.usra.edu/science/proposing-and-observing/sofia-observers-handbook-cycle-4/7-instruments-iv-forcast/71-2 SOFIA Observer&amp;#039;s Handbook for Cycle 4, 7.1.2 Camera Performance]&amp;lt;/ref&amp;gt;&amp;lt;ref name=&amp;quot;simulating SOFIA&amp;quot;&amp;gt;[https://www.researchgate.net/publication/319495615_Simulating_SOFIA&amp;#039;s_image_jitter_performance_and_how_the_results_compare_to_in-flight_measurements Simulating SOFIA&amp;#039;s image jitter performance and how the results compare to in-flight measurements]&amp;lt;/ref&amp;gt;.  So diffraction-limited operation of visible and near-visible colored lasers even in noisy and vibration prone environments looks to be achievable.&lt;/div&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td class=&quot;diff-marker&quot;&gt;&lt;/td&gt;&lt;td style=&quot;background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;br&gt;&lt;/td&gt;&lt;td class=&quot;diff-marker&quot;&gt;&lt;/td&gt;&lt;td style=&quot;background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;br&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td colspan=&quot;2&quot; class=&quot;diff-lineno&quot; id=&quot;mw-diff-left-l40&quot;&gt;Line 40:&lt;/td&gt;
&lt;td colspan=&quot;2&quot; class=&quot;diff-lineno&quot;&gt;Line 42:&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td class=&quot;diff-marker&quot;&gt;&lt;/td&gt;&lt;td style=&quot;background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;br&gt;&lt;/td&gt;&lt;td class=&quot;diff-marker&quot;&gt;&lt;/td&gt;&lt;td style=&quot;background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;br&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td class=&quot;diff-marker&quot;&gt;&lt;/td&gt;&lt;td style=&quot;background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;Reference  &lt;/div&gt;&lt;/td&gt;&lt;td class=&quot;diff-marker&quot;&gt;&lt;/td&gt;&lt;td style=&quot;background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;Reference  &lt;/div&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td class=&quot;diff-marker&quot; data-marker=&quot;−&quot;&gt;&lt;/td&gt;&lt;td style=&quot;color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #ffe49c; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;&amp;lt;ref&lt;del style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;&amp;gt;[https://apps.dtic.mil/sti/citations/&lt;/del&gt;ADA464385 &lt;del style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;J. Negro and S. Griffin, &lt;/del&gt;&quot;&lt;del style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;Inertially Stabilized Platforms for Precision Pointing: Applications to directed-energy weapons and space-based lasers&quot;, US Government report ADA464385, Aug 17 2006]&lt;/del&gt;&amp;lt;/ref&amp;gt;&lt;/div&gt;&lt;/td&gt;&lt;td class=&quot;diff-marker&quot; data-marker=&quot;+&quot;&gt;&lt;/td&gt;&lt;td style=&quot;color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #a3d3ff; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;&amp;lt;ref &lt;ins style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;name=&quot;&lt;/ins&gt;ADA464385&quot;&lt;ins style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;&amp;gt;&lt;/ins&gt;&amp;lt;/ref&amp;gt;&lt;/div&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td class=&quot;diff-marker&quot;&gt;&lt;/td&gt;&lt;td style=&quot;background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;mentions that directed energy weapon systems must have sub-microradian (less than 10&amp;lt;sup&amp;gt;-6&amp;lt;/sup&amp;gt;) accuracies, and that (as of the time of the report in 2006) existing technology provides such capabilities &amp;amp;ndash; although it then goes on to describe many of the engineering challenges involved.  It mentions that the gas and fluid flow of the laser mechanism (typically for cooling, but possibly also involved in beam generation) makes laser jitter control more challenging than for telescopes which lack such flows.  In addition, directed energy weapons often must turn significantly faster than telescopes, resulting in larger disturbances and increased issues with jitter.&lt;/div&gt;&lt;/td&gt;&lt;td class=&quot;diff-marker&quot;&gt;&lt;/td&gt;&lt;td style=&quot;background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;mentions that directed energy weapon systems must have sub-microradian (less than 10&amp;lt;sup&amp;gt;-6&amp;lt;/sup&amp;gt;) accuracies, and that (as of the time of the report in 2006) existing technology provides such capabilities &amp;amp;ndash; although it then goes on to describe many of the engineering challenges involved.  It mentions that the gas and fluid flow of the laser mechanism (typically for cooling, but possibly also involved in beam generation) makes laser jitter control more challenging than for telescopes which lack such flows.  In addition, directed energy weapons often must turn significantly faster than telescopes, resulting in larger disturbances and increased issues with jitter.&lt;/div&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td class=&quot;diff-marker&quot;&gt;&lt;/td&gt;&lt;td style=&quot;background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;br&gt;&lt;/td&gt;&lt;td class=&quot;diff-marker&quot;&gt;&lt;/td&gt;&lt;td style=&quot;background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;br&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;/table&gt;</summary>
		<author><name>Lwcamp</name></author>
	</entry>
	<entry>
		<id>https://www.galacticlibrary.net/mediawiki-1.41.1/index.php?title=Jitter&amp;diff=3114&amp;oldid=prev</id>
		<title>Lwcamp: /* How much jitter? */</title>
		<link rel="alternate" type="text/html" href="https://www.galacticlibrary.net/mediawiki-1.41.1/index.php?title=Jitter&amp;diff=3114&amp;oldid=prev"/>
		<updated>2025-03-23T17:52:54Z</updated>

		<summary type="html">&lt;p&gt;&lt;span dir=&quot;auto&quot;&gt;&lt;span class=&quot;autocomment&quot;&gt;How much jitter?&lt;/span&gt;&lt;/span&gt;&lt;/p&gt;
&lt;table style=&quot;background-color: #fff; color: #202122;&quot; data-mw=&quot;interface&quot;&gt;
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				&lt;td colspan=&quot;2&quot; style=&quot;background-color: #fff; color: #202122; text-align: center;&quot;&gt;← Older revision&lt;/td&gt;
				&lt;td colspan=&quot;2&quot; style=&quot;background-color: #fff; color: #202122; text-align: center;&quot;&gt;Revision as of 10:52, 23 March 2025&lt;/td&gt;
				&lt;/tr&gt;&lt;tr&gt;&lt;td colspan=&quot;2&quot; class=&quot;diff-lineno&quot; id=&quot;mw-diff-left-l41&quot;&gt;Line 41:&lt;/td&gt;
&lt;td colspan=&quot;2&quot; class=&quot;diff-lineno&quot;&gt;Line 41:&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td class=&quot;diff-marker&quot;&gt;&lt;/td&gt;&lt;td style=&quot;background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;Reference  &lt;/div&gt;&lt;/td&gt;&lt;td class=&quot;diff-marker&quot;&gt;&lt;/td&gt;&lt;td style=&quot;background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;Reference  &lt;/div&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td class=&quot;diff-marker&quot;&gt;&lt;/td&gt;&lt;td style=&quot;background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;&amp;lt;ref&amp;gt;[https://apps.dtic.mil/sti/citations/ADA464385 J. Negro and S. Griffin, &amp;quot;Inertially Stabilized Platforms for Precision Pointing: Applications to directed-energy weapons and space-based lasers&amp;quot;, US Government report ADA464385, Aug 17 2006]&amp;lt;/ref&amp;gt;&lt;/div&gt;&lt;/td&gt;&lt;td class=&quot;diff-marker&quot;&gt;&lt;/td&gt;&lt;td style=&quot;background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;&amp;lt;ref&amp;gt;[https://apps.dtic.mil/sti/citations/ADA464385 J. Negro and S. Griffin, &amp;quot;Inertially Stabilized Platforms for Precision Pointing: Applications to directed-energy weapons and space-based lasers&amp;quot;, US Government report ADA464385, Aug 17 2006]&amp;lt;/ref&amp;gt;&lt;/div&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td class=&quot;diff-marker&quot; data-marker=&quot;−&quot;&gt;&lt;/td&gt;&lt;td style=&quot;color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #ffe49c; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;mentions that directed energy weapon systems must have sub-microradian (less than 10&amp;lt;sup&amp;gt;-6&amp;lt;/sup&amp;gt;) accuracies, and that (as of the time of the report in 2006) existing technology provides such capabilities &amp;amp;ndash; although it then goes on to describe many of the engineering challenges involved&lt;del style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;)&lt;/del&gt;.  It mentions that the gas and fluid flow of the laser mechanism (typically for cooling, but possibly also involved in beam generation) makes laser jitter control more challenging than for telescopes which lack such flows.  In addition, directed energy weapons often must turn significantly faster than telescopes, resulting in larger disturbances and increased issues with jitter.&lt;/div&gt;&lt;/td&gt;&lt;td class=&quot;diff-marker&quot; data-marker=&quot;+&quot;&gt;&lt;/td&gt;&lt;td style=&quot;color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #a3d3ff; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;mentions that directed energy weapon systems must have sub-microradian (less than 10&amp;lt;sup&amp;gt;-6&amp;lt;/sup&amp;gt;) accuracies, and that (as of the time of the report in 2006) existing technology provides such capabilities &amp;amp;ndash; although it then goes on to describe many of the engineering challenges involved.  It mentions that the gas and fluid flow of the laser mechanism (typically for cooling, but possibly also involved in beam generation) makes laser jitter control more challenging than for telescopes which lack such flows.  In addition, directed energy weapons often must turn significantly faster than telescopes, resulting in larger disturbances and increased issues with jitter.&lt;/div&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td class=&quot;diff-marker&quot;&gt;&lt;/td&gt;&lt;td style=&quot;background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;br&gt;&lt;/td&gt;&lt;td class=&quot;diff-marker&quot;&gt;&lt;/td&gt;&lt;td style=&quot;background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;br&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td class=&quot;diff-marker&quot;&gt;&lt;/td&gt;&lt;td style=&quot;background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;Jitter is reduced by making your pointing structure compact and stiff.  Long extended objects (anything that looks like a gun barrel, for example) tend to be more wibbly and will increase the beam jitter.&lt;/div&gt;&lt;/td&gt;&lt;td class=&quot;diff-marker&quot;&gt;&lt;/td&gt;&lt;td style=&quot;background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;Jitter is reduced by making your pointing structure compact and stiff.  Long extended objects (anything that looks like a gun barrel, for example) tend to be more wibbly and will increase the beam jitter.&lt;/div&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;/table&gt;</summary>
		<author><name>Lwcamp</name></author>
	</entry>
	<entry>
		<id>https://www.galacticlibrary.net/mediawiki-1.41.1/index.php?title=Jitter&amp;diff=3113&amp;oldid=prev</id>
		<title>Lwcamp: /* How much jitter? */</title>
		<link rel="alternate" type="text/html" href="https://www.galacticlibrary.net/mediawiki-1.41.1/index.php?title=Jitter&amp;diff=3113&amp;oldid=prev"/>
		<updated>2025-03-23T17:52:17Z</updated>

		<summary type="html">&lt;p&gt;&lt;span dir=&quot;auto&quot;&gt;&lt;span class=&quot;autocomment&quot;&gt;How much jitter?&lt;/span&gt;&lt;/span&gt;&lt;/p&gt;
&lt;table style=&quot;background-color: #fff; color: #202122;&quot; data-mw=&quot;interface&quot;&gt;
				&lt;col class=&quot;diff-marker&quot; /&gt;
				&lt;col class=&quot;diff-content&quot; /&gt;
				&lt;col class=&quot;diff-marker&quot; /&gt;
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				&lt;tr class=&quot;diff-title&quot; lang=&quot;en&quot;&gt;
				&lt;td colspan=&quot;2&quot; style=&quot;background-color: #fff; color: #202122; text-align: center;&quot;&gt;← Older revision&lt;/td&gt;
				&lt;td colspan=&quot;2&quot; style=&quot;background-color: #fff; color: #202122; text-align: center;&quot;&gt;Revision as of 10:52, 23 March 2025&lt;/td&gt;
				&lt;/tr&gt;&lt;tr&gt;&lt;td colspan=&quot;2&quot; class=&quot;diff-lineno&quot; id=&quot;mw-diff-left-l37&quot;&gt;Line 37:&lt;/td&gt;
&lt;td colspan=&quot;2&quot; class=&quot;diff-lineno&quot;&gt;Line 37:&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td class=&quot;diff-marker&quot;&gt;&lt;/td&gt;&lt;td style=&quot;background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;In addition, thermal cycling (going from sunlight into the Earth&amp;#039;s shadow, or vice versa) will cause significant additional jitter for the Hubble Space Telescope&amp;lt;ref name=&amp;quot;Bely_May&amp;quot;&amp;gt;&amp;lt;/ref&amp;gt;.&lt;/div&gt;&lt;/td&gt;&lt;td class=&quot;diff-marker&quot;&gt;&lt;/td&gt;&lt;td style=&quot;background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;In addition, thermal cycling (going from sunlight into the Earth&amp;#039;s shadow, or vice versa) will cause significant additional jitter for the Hubble Space Telescope&amp;lt;ref name=&amp;quot;Bely_May&amp;quot;&amp;gt;&amp;lt;/ref&amp;gt;.&lt;/div&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td class=&quot;diff-marker&quot;&gt;&lt;/td&gt;&lt;td style=&quot;background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;br&gt;&lt;/td&gt;&lt;td class=&quot;diff-marker&quot;&gt;&lt;/td&gt;&lt;td style=&quot;background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;br&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td class=&quot;diff-marker&quot; data-marker=&quot;−&quot;&gt;&lt;/td&gt;&lt;td style=&quot;color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #ffe49c; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;It is worth noting that reference &amp;lt;ref name=&quot;Bely_May&quot;&amp;gt;&amp;lt;/ref&amp;gt; notes that with modern technology, the Hubble Space Telescope jitter could be even further reduced by the use of active optics.  It is claimed that these active optics would also significantly help with the increased jitter of turning and thermal cycling.&lt;/div&gt;&lt;/td&gt;&lt;td class=&quot;diff-marker&quot; data-marker=&quot;+&quot;&gt;&lt;/td&gt;&lt;td style=&quot;color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #a3d3ff; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;It is worth noting that reference &amp;lt;ref name=&quot;Bely_May&quot;&amp;gt;&amp;lt;/ref&amp;gt; notes that with modern &lt;ins style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;(as of 1992) &lt;/ins&gt;technology, the Hubble Space Telescope jitter could be even further reduced by the use of active optics.  It is claimed that these active optics would also significantly help with the increased jitter of turning and thermal cycling.&lt;/div&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td class=&quot;diff-marker&quot;&gt;&lt;/td&gt;&lt;td style=&quot;background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;br&gt;&lt;/td&gt;&lt;td class=&quot;diff-marker&quot;&gt;&lt;/td&gt;&lt;td style=&quot;background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;br&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td class=&quot;diff-marker&quot;&gt;&lt;/td&gt;&lt;td style=&quot;background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;Reference  &lt;/div&gt;&lt;/td&gt;&lt;td class=&quot;diff-marker&quot;&gt;&lt;/td&gt;&lt;td style=&quot;background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;Reference  &lt;/div&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;/table&gt;</summary>
		<author><name>Lwcamp</name></author>
	</entry>
	<entry>
		<id>https://www.galacticlibrary.net/mediawiki-1.41.1/index.php?title=Jitter&amp;diff=3112&amp;oldid=prev</id>
		<title>Lwcamp: /* How much jitter? */</title>
		<link rel="alternate" type="text/html" href="https://www.galacticlibrary.net/mediawiki-1.41.1/index.php?title=Jitter&amp;diff=3112&amp;oldid=prev"/>
		<updated>2025-03-23T17:50:07Z</updated>

		<summary type="html">&lt;p&gt;&lt;span dir=&quot;auto&quot;&gt;&lt;span class=&quot;autocomment&quot;&gt;How much jitter?&lt;/span&gt;&lt;/span&gt;&lt;/p&gt;
&lt;table style=&quot;background-color: #fff; color: #202122;&quot; data-mw=&quot;interface&quot;&gt;
				&lt;col class=&quot;diff-marker&quot; /&gt;
				&lt;col class=&quot;diff-content&quot; /&gt;
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				&lt;tr class=&quot;diff-title&quot; lang=&quot;en&quot;&gt;
				&lt;td colspan=&quot;2&quot; style=&quot;background-color: #fff; color: #202122; text-align: center;&quot;&gt;← Older revision&lt;/td&gt;
				&lt;td colspan=&quot;2&quot; style=&quot;background-color: #fff; color: #202122; text-align: center;&quot;&gt;Revision as of 10:50, 23 March 2025&lt;/td&gt;
				&lt;/tr&gt;&lt;tr&gt;&lt;td colspan=&quot;2&quot; class=&quot;diff-lineno&quot; id=&quot;mw-diff-left-l41&quot;&gt;Line 41:&lt;/td&gt;
&lt;td colspan=&quot;2&quot; class=&quot;diff-lineno&quot;&gt;Line 41:&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td class=&quot;diff-marker&quot;&gt;&lt;/td&gt;&lt;td style=&quot;background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;Reference  &lt;/div&gt;&lt;/td&gt;&lt;td class=&quot;diff-marker&quot;&gt;&lt;/td&gt;&lt;td style=&quot;background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;Reference  &lt;/div&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td class=&quot;diff-marker&quot;&gt;&lt;/td&gt;&lt;td style=&quot;background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;&amp;lt;ref&amp;gt;[https://apps.dtic.mil/sti/citations/ADA464385 J. Negro and S. Griffin, &amp;quot;Inertially Stabilized Platforms for Precision Pointing: Applications to directed-energy weapons and space-based lasers&amp;quot;, US Government report ADA464385, Aug 17 2006]&amp;lt;/ref&amp;gt;&lt;/div&gt;&lt;/td&gt;&lt;td class=&quot;diff-marker&quot;&gt;&lt;/td&gt;&lt;td style=&quot;background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;&amp;lt;ref&amp;gt;[https://apps.dtic.mil/sti/citations/ADA464385 J. Negro and S. Griffin, &amp;quot;Inertially Stabilized Platforms for Precision Pointing: Applications to directed-energy weapons and space-based lasers&amp;quot;, US Government report ADA464385, Aug 17 2006]&amp;lt;/ref&amp;gt;&lt;/div&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td class=&quot;diff-marker&quot; data-marker=&quot;−&quot;&gt;&lt;/td&gt;&lt;td style=&quot;color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #ffe49c; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;mentions that directed energy weapon systems must have sub-microradian (less than 10&amp;lt;sup&amp;gt;-6&amp;lt;/sup&amp;gt;) accuracies, and that (as of the time of the report in 2006) &lt;del style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;stable-platform gyros provide &lt;/del&gt;such capabilities &amp;amp;ndash; although it then goes on to describe many of the engineering challenges involved).  It mentions that the gas and fluid flow of the laser mechanism (typically for cooling, but possibly also involved in beam generation) makes laser jitter control more challenging than for telescopes which lack such flows.  In addition, directed energy weapons often must turn significantly faster than telescopes, resulting in larger disturbances and increased issues with jitter.&lt;/div&gt;&lt;/td&gt;&lt;td class=&quot;diff-marker&quot; data-marker=&quot;+&quot;&gt;&lt;/td&gt;&lt;td style=&quot;color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #a3d3ff; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;mentions that directed energy weapon systems must have sub-microradian (less than 10&amp;lt;sup&amp;gt;-6&amp;lt;/sup&amp;gt;) accuracies, and that (as of the time of the report in 2006) &lt;ins style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;existing technology provides &lt;/ins&gt;such capabilities &amp;amp;ndash; although it then goes on to describe many of the engineering challenges involved).  It mentions that the gas and fluid flow of the laser mechanism (typically for cooling, but possibly also involved in beam generation) makes laser jitter control more challenging than for telescopes which lack such flows.  In addition, directed energy weapons often must turn significantly faster than telescopes, resulting in larger disturbances and increased issues with jitter.&lt;/div&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td class=&quot;diff-marker&quot;&gt;&lt;/td&gt;&lt;td style=&quot;background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;br&gt;&lt;/td&gt;&lt;td class=&quot;diff-marker&quot;&gt;&lt;/td&gt;&lt;td style=&quot;background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;br&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td class=&quot;diff-marker&quot;&gt;&lt;/td&gt;&lt;td style=&quot;background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;Jitter is reduced by making your pointing structure compact and stiff.  Long extended objects (anything that looks like a gun barrel, for example) tend to be more wibbly and will increase the beam jitter.&lt;/div&gt;&lt;/td&gt;&lt;td class=&quot;diff-marker&quot;&gt;&lt;/td&gt;&lt;td style=&quot;background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;Jitter is reduced by making your pointing structure compact and stiff.  Long extended objects (anything that looks like a gun barrel, for example) tend to be more wibbly and will increase the beam jitter.&lt;/div&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;/table&gt;</summary>
		<author><name>Lwcamp</name></author>
	</entry>
	<entry>
		<id>https://www.galacticlibrary.net/mediawiki-1.41.1/index.php?title=Jitter&amp;diff=3111&amp;oldid=prev</id>
		<title>Lwcamp: /* How much jitter? */</title>
		<link rel="alternate" type="text/html" href="https://www.galacticlibrary.net/mediawiki-1.41.1/index.php?title=Jitter&amp;diff=3111&amp;oldid=prev"/>
		<updated>2025-03-23T17:44:38Z</updated>

		<summary type="html">&lt;p&gt;&lt;span dir=&quot;auto&quot;&gt;&lt;span class=&quot;autocomment&quot;&gt;How much jitter?&lt;/span&gt;&lt;/span&gt;&lt;/p&gt;
&lt;table style=&quot;background-color: #fff; color: #202122;&quot; data-mw=&quot;interface&quot;&gt;
				&lt;col class=&quot;diff-marker&quot; /&gt;
				&lt;col class=&quot;diff-content&quot; /&gt;
				&lt;col class=&quot;diff-marker&quot; /&gt;
				&lt;col class=&quot;diff-content&quot; /&gt;
				&lt;tr class=&quot;diff-title&quot; lang=&quot;en&quot;&gt;
				&lt;td colspan=&quot;2&quot; style=&quot;background-color: #fff; color: #202122; text-align: center;&quot;&gt;← Older revision&lt;/td&gt;
				&lt;td colspan=&quot;2&quot; style=&quot;background-color: #fff; color: #202122; text-align: center;&quot;&gt;Revision as of 10:44, 23 March 2025&lt;/td&gt;
				&lt;/tr&gt;&lt;tr&gt;&lt;td colspan=&quot;2&quot; class=&quot;diff-lineno&quot; id=&quot;mw-diff-left-l41&quot;&gt;Line 41:&lt;/td&gt;
&lt;td colspan=&quot;2&quot; class=&quot;diff-lineno&quot;&gt;Line 41:&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td class=&quot;diff-marker&quot;&gt;&lt;/td&gt;&lt;td style=&quot;background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;Reference  &lt;/div&gt;&lt;/td&gt;&lt;td class=&quot;diff-marker&quot;&gt;&lt;/td&gt;&lt;td style=&quot;background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;Reference  &lt;/div&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td class=&quot;diff-marker&quot;&gt;&lt;/td&gt;&lt;td style=&quot;background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;&amp;lt;ref&amp;gt;[https://apps.dtic.mil/sti/citations/ADA464385 J. Negro and S. Griffin, &amp;quot;Inertially Stabilized Platforms for Precision Pointing: Applications to directed-energy weapons and space-based lasers&amp;quot;, US Government report ADA464385, Aug 17 2006]&amp;lt;/ref&amp;gt;&lt;/div&gt;&lt;/td&gt;&lt;td class=&quot;diff-marker&quot;&gt;&lt;/td&gt;&lt;td style=&quot;background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;&amp;lt;ref&amp;gt;[https://apps.dtic.mil/sti/citations/ADA464385 J. Negro and S. Griffin, &amp;quot;Inertially Stabilized Platforms for Precision Pointing: Applications to directed-energy weapons and space-based lasers&amp;quot;, US Government report ADA464385, Aug 17 2006]&amp;lt;/ref&amp;gt;&lt;/div&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td class=&quot;diff-marker&quot; data-marker=&quot;−&quot;&gt;&lt;/td&gt;&lt;td style=&quot;color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #ffe49c; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;mentions that directed energy weapon systems must have sub-microradian (less than 10&amp;lt;sup&amp;gt;-6&amp;lt;/sup&amp;gt;) accuracies, and that (as of the time of the report in 2006) stable-platform gyros provide such capabilities &amp;amp;ndash; although it then goes on to describe many of the engineering challenges involved).  It mentions that the gas and fluid flow of the laser mechanism (typically for cooling, but possibly also involved in beam generation) makes laser jitter control more challenging than for telescopes which lack such flows.&lt;/div&gt;&lt;/td&gt;&lt;td class=&quot;diff-marker&quot; data-marker=&quot;+&quot;&gt;&lt;/td&gt;&lt;td style=&quot;color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #a3d3ff; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;mentions that directed energy weapon systems must have sub-microradian (less than 10&amp;lt;sup&amp;gt;-6&amp;lt;/sup&amp;gt;) accuracies, and that (as of the time of the report in 2006) stable-platform gyros provide such capabilities &amp;amp;ndash; although it then goes on to describe many of the engineering challenges involved).  It mentions that the gas and fluid flow of the laser mechanism (typically for cooling, but possibly also involved in beam generation) makes laser jitter control more challenging than for telescopes which lack such flows&lt;ins style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;.  In addition, directed energy weapons often must turn significantly faster than telescopes, resulting in larger disturbances and increased issues with jitter&lt;/ins&gt;.&lt;/div&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td class=&quot;diff-marker&quot;&gt;&lt;/td&gt;&lt;td style=&quot;background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;br&gt;&lt;/td&gt;&lt;td class=&quot;diff-marker&quot;&gt;&lt;/td&gt;&lt;td style=&quot;background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;br&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td class=&quot;diff-marker&quot;&gt;&lt;/td&gt;&lt;td style=&quot;background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;Jitter is reduced by making your pointing structure compact and stiff.  Long extended objects (anything that looks like a gun barrel, for example) tend to be more wibbly and will increase the beam jitter.&lt;/div&gt;&lt;/td&gt;&lt;td class=&quot;diff-marker&quot;&gt;&lt;/td&gt;&lt;td style=&quot;background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;Jitter is reduced by making your pointing structure compact and stiff.  Long extended objects (anything that looks like a gun barrel, for example) tend to be more wibbly and will increase the beam jitter.&lt;/div&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;/table&gt;</summary>
		<author><name>Lwcamp</name></author>
	</entry>
</feed>