{"id":403424,"date":"2025-01-03T16:29:41","date_gmt":"2025-01-03T16:29:41","guid":{"rendered":"https:\/\/innovationspace.ansys.com\/forum\/forums\/reply\/403424\/"},"modified":"2025-01-03T16:29:41","modified_gmt":"2025-01-03T16:29:41","slug":"403424","status":"publish","type":"reply","link":"https:\/\/innovationspace.ansys.com\/forum\/forums\/reply\/403424\/","title":{"rendered":"Reply To: Thermal Desktop Orbital Elements Reference Frame"},"content":{"rendered":"<p>&lt;p&gt;Here is a brief MATLAB script I use to calculate a Beta Angle of about 8.80982 degrees for a spacecraft in a circular Mars orbit, compared to Thermal Desktop&#8217;s calculated Beta Angle value of about 9.00216 with the same inputs:&lt;\/p&gt;&lt;div class=&#8221;rtcContent&#8221;&gt;&lt;div class=&#8221;lineNode&#8221;&gt;L_s = 15; % longitude of sun (right ascension of sun)&lt;\/div&gt;&lt;div class=&#8221;lineNode&#8221;&gt;orbInc_deg = 10; % relative to planet equator&lt;\/div&gt;&lt;div class=&#8221;lineNode&#8221;&gt;orbRAAN_deg = 30; % from planet vernal equinox direction&lt;\/div&gt;&lt;div class=&#8221;lineNode&#8221;&gt;equatorInc_deg = 25.19; % axis of rotation tilt relative to the ecliptic plane (inclination of equator relative to ecliptic plane)&lt;\/div&gt;&lt;div class=&#8221;lineNode&#8221;&gt;decSun_deg = asind(sind(equatorInc_deg)*sind(L_s)); % solar declination relative to planet equator&lt;\/div&gt;&lt;div class=&#8221;lineNode&#8221;&gt;BetaAngle_deg = asind((cosd(decSun_deg)*sind(orbInc_deg)*sind(orbRAAN_deg &#8211; L_s)) + (sind(decSun_deg)*cosd(orbInc_deg)))&lt;\/div&gt;&lt;\/div&gt;&lt;p&gt;&lt;br&gt;<img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/innovationspace.ansys.com\/forum\/wp-content\/uploads\/sites\/2\/2025\/01\/03-01-2025-1735921631-mceclip0.png\" width=\"750\" height=\"514\" \/>&lt;\/p&gt;<\/p>\n","protected":false},"template":"","class_list":["post-403424","reply","type-reply","status-publish","hentry"],"aioseo_notices":[],"acf":[],"_links":{"self":[{"href":"https:\/\/innovationspace.ansys.com\/forum\/wp-json\/wp\/v2\/replies\/403424","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/innovationspace.ansys.com\/forum\/wp-json\/wp\/v2\/replies"}],"about":[{"href":"https:\/\/innovationspace.ansys.com\/forum\/wp-json\/wp\/v2\/types\/reply"}],"version-history":[{"count":0,"href":"https:\/\/innovationspace.ansys.com\/forum\/wp-json\/wp\/v2\/replies\/403424\/revisions"}],"wp:attachment":[{"href":"https:\/\/innovationspace.ansys.com\/forum\/wp-json\/wp\/v2\/media?parent=403424"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}