https://en.formulasearchengine.com/index.php?action=history&feed=atom&title=Dirac_bracket Dirac bracket - Revision history 2026-05-27T10:31:40Z Revision history for this page on the wiki MediaWiki 1.43.0-wmf.28 https://en.formulasearchengine.com/index.php?title=Dirac_bracket&diff=255937&oldid=prev en>Cuzkatzimhut: /* Illustration on the example provided */ 2014-09-08T16:08:08Z <p><span class="autocomment">Illustration on the example provided</span></p> <a href="https://en.formulasearchengine.com/index.php?title=Dirac_bracket&amp;diff=255937&amp;oldid=18054">Show changes</a> en>Cuzkatzimhut https://en.formulasearchengine.com/index.php?title=Dirac_bracket&diff=18054&oldid=prev en>Sam Sailor: Reverted 1 edit by 151.230.63.194 identified as test/vandalism using STiki 2013-11-15T02:59:30Z <p>Reverted 1 edit by <a href="/wiki/Special:Contributions/151.230.63.194" title="Special:Contributions/151.230.63.194">151.230.63.194</a> identified as test/vandalism using <a href="/index.php?title=WP:STiki&amp;action=edit&amp;redlink=1" class="new" title="WP:STiki (page does not exist)">STiki</a></p> <table style="background-color: #fff; color: #202122;" data-mw="interface"> <col class="diff-marker" /> <col class="diff-content" /> <col class="diff-marker" /> <col class="diff-content" /> <tr class="diff-title" lang="en"> <td colspan="2" style="background-color: #fff; color: #202122; text-align: center;">← Older revision</td> <td colspan="2" style="background-color: #fff; color: #202122; text-align: center;">Revision as of 04:59, 15 November 2013</td> </tr><tr><td colspan="2" class="diff-lineno" id="mw-diff-left-l1">Line 1:</td> <td colspan="2" class="diff-lineno">Line 1:</td></tr> <tr><td class="diff-marker" data-marker="−"></td><td style="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;"><div><del style="font-weight: bold; text-decoration: none;">Ed </del>is <del style="font-weight: bold; text-decoration: none;">what people call me </del>and <del style="font-weight: bold; text-decoration: none;">my spouse doesn't like it at all</del>. <del style="font-weight: bold; text-decoration: none;">Her family life in Ohio</del>. <del style="font-weight: bold; text-decoration: none;">I am currently </del>a <del style="font-weight: bold; text-decoration: none;">journey agent</del>. <del style="font-weight: bold; text-decoration: none;">To play lacross is </del>the <del style="font-weight: bold; text-decoration: none;">thing I adore most of all</del>.&lt;<del style="font-weight: bold; text-decoration: none;">br</del>&gt;&lt;<del style="font-weight: bold; text-decoration: none;">br</del>&gt;<del style="font-weight: bold; text-decoration: none;">My blog :: online psychic reading ([http:</del>//<del style="font-weight: bold; text-decoration: none;">gcjcteam</del>.<del style="font-weight: bold; text-decoration: none;">org/index</del>.<del style="font-weight: bold; text-decoration: none;">php?mid</del>=<del style="font-weight: bold; text-decoration: none;">etc_video</del>&amp;<del style="font-weight: bold; text-decoration: none;">document_srl</del>=<del style="font-weight: bold; text-decoration: none;">696611&amp;sort_index</del>=<del style="font-weight: bold; text-decoration: none;">regdate&amp;order_type</del>=<del style="font-weight: bold; text-decoration: none;">desc gcjcteam.org</del>]<del style="font-weight: bold; text-decoration: none;">)</del></div></td><td class="diff-marker" data-marker="+"></td><td style="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;"><div><ins style="font-weight: bold; text-decoration: none;">'''Jet damping''' or '''thrust damping''' </ins>is <ins style="font-weight: bold; text-decoration: none;">the effect of rocket exhaust removing energy from the transverse angular motion of a rocket.  If a rocket has [[Flight dynamics|pitch]] or [[Yaw angle|yaw]] motion then the exhaust must be accelerated laterally as it flows down the exhaust tube </ins>and <ins style="font-weight: bold; text-decoration: none;">nozzle.  Once the exhaust leaves the nozzle this lateral momentum is lost to the vehicle and thus serves to [[damping|damp]] the lateral oscillations</ins>. <ins style="font-weight: bold; text-decoration: none;"> The jet damping is stabilizing as long as the distance from the instantaneous spacecraft center of mass to the nozzle exit plane exceeds the instantaneous transverse [[radius of gyration]]</ins>. <ins style="font-weight: bold; text-decoration: none;">Most rocket or missile configurations meet this criteria and the jet damping has </ins>a <ins style="font-weight: bold; text-decoration: none;">dynamic stabilizing effect</ins>. <ins style="font-weight: bold; text-decoration: none;"> The jet damping torque rotates at [[nutation]] frequency in </ins>the <ins style="font-weight: bold; text-decoration: none;">spacecraft frame</ins>.&lt;<ins style="font-weight: bold; text-decoration: none;">ref</ins>&gt;</div></td></tr> <tr><td colspan="2" class="diff-side-deleted"></td><td class="diff-marker" data-marker="+"></td><td style="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;"><div><ins style="font-weight: bold; text-decoration: none;">{{cite journal|last=van der Ha|first=Jozef C.|coauthors=Janssens, Frank L.|title=Jet Damping and Misalignment Effects During Solid Rocket Motor Burn|journal=AIAA Guidance, Navigation, and Control Conference|date=11–14 August 2003: Austin, Texas}}&lt;/ref&gt;</ins></div></td></tr> <tr><td colspan="2" class="diff-side-deleted"></td><td class="diff-marker" data-marker="+"></td><td style="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;"><div> </div></td></tr> <tr><td colspan="2" class="diff-side-deleted"></td><td class="diff-marker" data-marker="+"></td><td style="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;"><div><ins style="font-weight: bold; text-decoration: none;">The jet damping contributes to the pitch and yaw damping coefficients, &lt;math&gt;Cm_q&lt;/math&gt; and &lt;math&gt;Cn_r&lt;/math&gt;, where </ins>&lt;<ins style="font-weight: bold; text-decoration: none;">math</ins>&gt;<ins style="font-weight: bold; text-decoration: none;">Cm_q&lt;</ins>/<ins style="font-weight: bold; text-decoration: none;">math&gt; is the rate of change of pitching moment with respect to pitch rate and &lt;math&gt;Cn_r&lt;</ins>/<ins style="font-weight: bold; text-decoration: none;">math&gt; is the rate of change of the yawing moment with respect to yaw rate.  For jet airplanes in cruise, the contribution of jet damping is usually negligible because the external aerodynamic damping is large relative to the jet damping</ins>. <ins style="font-weight: bold; text-decoration: none;"> Rockets at lift-off, however, have practically zero external aerodynamic damping and the jet damping becomes significant</ins>.<ins style="font-weight: bold; text-decoration: none;">&lt;ref&gt;{{cite book|last=Etkins|first</ins>=<ins style="font-weight: bold; text-decoration: none;">Bernard; Reid, Lloyd Duff|title=Dynamics of Flight|year=1996|publisher=John Wiley </ins>&amp; <ins style="font-weight: bold; text-decoration: none;">Sons, Inc.|pages=141}}&lt;/ref&gt;</ins></div></td></tr> <tr><td colspan="2" class="diff-side-deleted"></td><td class="diff-marker" data-marker="+"></td><td style="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;"><div> </div></td></tr> <tr><td colspan="2" class="diff-side-deleted"></td><td class="diff-marker" data-marker="+"></td><td style="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;"><div>==<ins style="font-weight: bold; text-decoration: none;">References=</ins>=</div></td></tr> <tr><td colspan="2" class="diff-side-deleted"></td><td class="diff-marker" data-marker="+"></td><td style="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;"><div><ins style="font-weight: bold; text-decoration: none;">{{Reflist}}</ins></div></td></tr> <tr><td colspan="2" class="diff-side-deleted"></td><td class="diff-marker" data-marker="+"></td><td style="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;"><div> </div></td></tr> <tr><td colspan="2" class="diff-side-deleted"></td><td class="diff-marker" data-marker="+"></td><td style="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;"><div><ins style="font-weight: bold; text-decoration: none;">[[Category:Rocket propulsion]</ins>]</div></td></tr> </table> en>Sam Sailor https://en.formulasearchengine.com/index.php?title=Dirac_bracket&diff=255936&oldid=prev en>R.e.b.: Adding/improving reference(s) 2012-08-13T13:13:20Z <p>Adding/improving reference(s)</p> <p><b>New page</b></p><div>Ed is what people call me and my spouse doesn&#039;t like it at all. Her family life in Ohio. I am currently a journey agent. To play lacross is the thing I adore most of all.&lt;br&gt;&lt;br&gt;My blog :: online psychic reading ([http://gcjcteam.org/index.php?mid=etc_video&amp;document_srl=696611&amp;sort_index=regdate&amp;order_type=desc gcjcteam.org])</div> en>R.e.b.