{"id":1292,"date":"2018-12-28T10:03:13","date_gmt":"2018-12-28T18:03:13","guid":{"rendered":"http:\/\/depts.washington.edu\/uwrainlab\/?page_id=1292"},"modified":"2022-05-08T21:57:27","modified_gmt":"2022-05-09T05:57:27","slug":"aa-528","status":"publish","type":"page","link":"http:\/\/depts.washington.edu\/uwrainlab\/aa-528\/","title":{"rendered":"AA 528: Spacecraft Dynamics and Control"},"content":{"rendered":"<h1>Spacecraft Dynamics and Control<\/h1>\n<p>Welcome to AA 528: Spacecraft Dynamics and Control. This is a homepage that has evolved over a few iterations of the course.<\/p>\n<p><strong>Instructor<\/strong>: Taylor P. Reynolds<\/p>\n<ul>\n<li style=\"text-align: left;\">The most recent course <a href=\"https:\/\/drive.google.com\/file\/d\/16Esdv79ngsQPxqAJeE1PhuXukKHVc9cO\/view?usp=sharing\">syllabus can be found here<\/a>.<\/li>\n<\/ul>\n<h3>Lecture Notes<\/h3>\n<p>Here is a broad list of topics we will cover in some semblance of order. Notes and lecture videos will be added here as we go.<\/p>\n<ul>\n<li>Course Overview, Orbital Mechanics, Keplerian Orbits.\n<ul>\n<li>Lecture 1.a: <a href=\"https:\/\/drive.google.com\/file\/d\/15l0r8sJBxyjVwH97_c8kitRLhb_W1-8z\/view?usp=sharing\">Course Overview, Two-Body Problem<\/a><\/li>\n<li>Lecture 1.b: <a href=\"https:\/\/drive.google.com\/file\/d\/15nArpcDcRnD8RPffsiisp3iVYLMHJMC2\/view?usp=sharing\">Two-Body Problem, Kepler&#8217;s Laws<\/a><\/li>\n<\/ul>\n<\/li>\n<li>Single- &amp; Multi-Impulse Orbital Maneuvers.\n<ul>\n<li>Lecture 2: <a href=\"https:\/\/drive.google.com\/file\/d\/15r4_3TMhtFrNkGvtdWFtZTvfPBzk1TbU\/view?usp=sharing\">Orbital maneuvers<\/a>.<\/li>\n<\/ul>\n<\/li>\n<li>Perturbed\/Non-Keplerian Orbits.\n<ul>\n<li>Lecture 3.a: <a href=\"https:\/\/drive.google.com\/file\/d\/15md66c4eRw2VqrL9_I3ou5JBwF1Bp1fi\/view?usp=sharing\">Orbital Elements and General Perturbations\u00a0<\/a><\/li>\n<li>Lecture 3.b: <a href=\"https:\/\/drive.google.com\/file\/d\/15mLwedqJ5HXQTLO1jw0IyQjgM_DNg0kC\/view?usp=sharing\">Gaussian VOP, Some Specific Perturbations<\/a>.<\/li>\n<\/ul>\n<\/li>\n<li>Rendezvous and Docking, Hill&#8217;s Equations, Relative Motion and Formation Flight.\n<ul>\n<li>Lecture 4: <a href=\"https:\/\/drive.google.com\/file\/d\/1yUxX0hN2nuWJn--zg03gqXnVU-4OmX8r\/view?usp=sharing\">Rendezvous &amp; Hill&#8217;s Equations<\/a>.<\/li>\n<\/ul>\n<\/li>\n<li>Mechanics of Rotations &amp; Dynamics of Rigid Bodies.\n<ul>\n<li>Lecture 5.a: <a href=\"https:\/\/drive.google.com\/file\/d\/15pQLloA3p39jtw653B6fNWDkZ6Xhbykq\/view?usp=sharing\">Coordinate Frames &amp; Rotation Matrices<\/a>.<\/li>\n<li>Lecture 5.b: <a href=\"https:\/\/drive.google.com\/file\/d\/15xz7c5nbfrLxDUF6q3XWIFJC1GdBW8P8\/view?usp=sharing\">Attitude Parameterizations<\/a><\/li>\n<li>Lecture 5.c: <a href=\"https:\/\/drive.google.com\/file\/d\/15wnEgd852NoDAHK92aeAi-_qwE11zRp-\/view?usp=sharing\">Attitude Kinematics &amp; Dynamics<\/a>.<\/li>\n<li>Lecture 5.d: <a href=\"https:\/\/drive.google.com\/file\/d\/15kznmaKCdSB_ZaZYs3thCYPtLXzUfNkQ\/view?usp=sharing\">Stability of Torque-Free Motion<\/a><\/li>\n<li>Some extra reading that might help:\n<ul>\n<li><a href=\"https:\/\/drive.google.com\/file\/d\/16-U_WQv--tWv33r9nnD2neQtE23sb7u9\/view?usp=sharing\">Malcolm Shuster&#8217;s paper on the nature of quaternions<\/a>.<\/li>\n<li><a href=\"https:\/\/drive.google.com\/file\/d\/15vxbJDjvQuzt-upw9YocTkwf9qiciDJf\/view?usp=sharing\">This short excerpt<\/a> from P.C. Hughes&#8217; textbook.<\/li>\n<\/ul>\n<\/li>\n<\/ul>\n<\/li>\n<li>Spacecraft Attitude Control.\n<ul>\n<li>Lecture 6.a: <a href=\"https:\/\/drive.google.com\/file\/d\/15isC9GquhCDoatBfsQWkP_izUUjjMm_j\/view?usp=sharing\">Introduction to Control, Passive Control Methods<\/a>.<\/li>\n<li>Lecture 6.b: <a href=\"https:\/\/drive.google.com\/file\/d\/15i4pAZEFCoxX-wJFEygGrU7ebmJq-1D5\/view?usp=sharing\">The Details of Gravity Gradients<\/a>.<\/li>\n<li>Lecture 6.c: <a href=\"https:\/\/drive.google.com\/file\/d\/15gm02o9e-D6_3CFBH6TcLg93mUC8pA4b\/view?usp=sharing\">Active Control Methods, Introduction to Linear Feedback Methods<\/a>.<\/li>\n<li>Lecture 6.d: <a href=\"https:\/\/drive.google.com\/file\/d\/15gZ9wIEQLUcIYMRyR7-LP729V4b4WW97\/view?usp=sharing\">Linear Feedback Methods I<\/a>.<\/li>\n<li>Lecture 6.e: <a href=\"https:\/\/drive.google.com\/file\/d\/15g95x4kQeqBB7vI8aHJxFxR02FYDI1i9\/view?usp=sharing\">Linear Feedback Methods II<\/a>.<\/li>\n<li>Lecture 6.f: <a href=\"https:\/\/drive.google.com\/file\/d\/15g0t8-q3igUFHqFGw2IXYTlo-oCIhYer\/view?usp=sharing\">Introduction to Nonlinear Control, Lyapunov&#8217;s Direct Method<\/a>.<\/li>\n<li>Lecture 6.g: <a href=\"https:\/\/drive.google.com\/file\/d\/15pOE2pPJcknnKNoyjyZSnw8VHvukPqlp\/view?usp=sharing\">Nonlinear Control, LaSalle&#8217;s Theorem<\/a>.<\/li>\n<\/ul>\n<\/li>\n<li>The Rest of The Loop.\n<ul>\n<li>Lecture 7.a: <a href=\"https:\/\/drive.google.com\/file\/d\/15nysbxMjF4PYTynrQwhMMcmmVjdcpPvD\/view?usp=sharing\">Sensors &amp; Actuators<\/a>.<\/li>\n<\/ul>\n<\/li>\n<li>Special Topics\n<ul>\n<li>Lecture S.a: <a href=\"https:\/\/drive.google.com\/file\/d\/1ttZU3wgtJm4MDoLZ4nD6ULe0wo6cI1kK\/view?usp=sharing\">Apollo Powered Descent Guidance<\/a>.<\/li>\n<\/ul>\n<\/li>\n<li>Guest Lectures:\n<ul>\n<li>Lecture G.a: <a href=\"https:\/\/drive.google.com\/file\/d\/15mwE8YcbYqjUUws7Mwove5Gt3cV5DI_V\/view?usp=sharing\">Introduction to Attitude Estimation<\/a> (Krish Kaycee).<\/li>\n<li>Lecture G.b: <a href=\"https:\/\/drive.google.com\/file\/d\/15M-Hx53O9w9b1aEUKGJmnW6mwrRjA2lx\/view?usp=sharing\">Kepler&#8217;s Laws, Newton&#8217;s Laws, and Gravitational Models<\/a> (Mehran Mesbahi).<\/li>\n<\/ul>\n<\/li>\n<\/ul>\n<h3>Homework<\/h3>\n<p>Some of the questions may contain &#8220;design&#8221; flaws the first time they were asked. These generally got worked out &amp; updated over time, but I do apologize if any remain. I&#8217;ve included the full historical list, even if some later years repeated\/re-framed\/improved on certain questions from a previous year.<\/p>\n<h4>2019<\/h4>\n<ul>\n<li><a href=\"https:\/\/drive.google.com\/file\/d\/12FTeBBkyWKQojEohiNqKVX2cEuszcugU\/view?usp=sharing\">Homework 1<\/a>.<\/li>\n<li><a href=\"https:\/\/drive.google.com\/file\/d\/11cvULeOcK_RL5Ea08pm0FKozFgFP7Qk5\/view?usp=sharing\">Homework 2<\/a>.<\/li>\n<li><a href=\"https:\/\/drive.google.com\/file\/d\/11sJRJ7LM96ryEay1pv5kn6dpPgyc1xsC\/view?usp=sharing\">Homework 3<\/a>.<\/li>\n<li><a href=\"https:\/\/drive.google.com\/file\/d\/11vlxyIsqC29gNkIiSrcMI2pXA7BetPYF\/view?usp=sharing\">Homework 4<\/a>.<\/li>\n<li><a href=\"https:\/\/drive.google.com\/file\/d\/124YAeC05TNgp6OI6AVsm-2MCeFeCLxFZ\/view?usp=sharing\">Homework 5<\/a>.<\/li>\n<li><a href=\"https:\/\/drive.google.com\/file\/d\/12SCfwmXpQkHhl6DTO2vQQNnbJGF5DhHf\/view?usp=sharing\">Homework 6<\/a>.<\/li>\n<li><a href=\"https:\/\/drive.google.com\/file\/d\/12ZXKed9lRoOLvRQAJjjsZXaXCsCN0_zh\/view?usp=sharing\">Homework 7<\/a>.<\/li>\n<li><a href=\"https:\/\/drive.google.com\/file\/d\/12e0PQRACfC9cIw2-LQprHWdNUI-EKjQf\/view?usp=sharing\">Homework 8<\/a>.<\/li>\n<li><a href=\"https:\/\/drive.google.com\/file\/d\/12nVmtrKfZyntdMOYLfzlJapHRepsaY6o\/view?usp=sharing\">Homework 9<\/a>.<\/li>\n<\/ul>\n<h4>2020<\/h4>\n<ul>\n<li><a href=\"https:\/\/drive.google.com\/file\/d\/13-AuEB-MwdYjbnXrkDpN33hJS6Wi98sN\/view?usp=sharing\">Homework 1<\/a>.<\/li>\n<li><a href=\"https:\/\/drive.google.com\/file\/d\/136pPiYDq3AeYvD2qAObHEAWxDQc1vsGE\/view?usp=sharing\">Homework 2<\/a>.<\/li>\n<li><a href=\"https:\/\/drive.google.com\/file\/d\/13E2y9cVV1NpGxLTz0WaGWBIqffG0uETY\/view?usp=sharing\">Homework 3<\/a>.<\/li>\n<li><a href=\"https:\/\/drive.google.com\/file\/d\/13A9uDkNeuiuFISCq1o3sw7LBzhAcemGL\/view?usp=sharing\">Homework 4<\/a>.<\/li>\n<li><a href=\"https:\/\/drive.google.com\/file\/d\/13HpHUQ5cK8GlRDaVG-aWyVTSmK4HuBVi\/view?usp=sharing\">Homework 5<\/a>.<\/li>\n<\/ul>\n<h3>Resources<\/h3>\n<p>Here is a short <a href=\"https:\/\/drive.google.com\/file\/d\/167WW9E9FcWm3cIoOSvbAgaZiADXlmVEF\/view?usp=sharing\">list of constants<\/a> that we will use often. This will help standardize your homework\/exam answers with the ones I will use to grade them.<\/p>\n<ul>\n<li>(Older) <a href=\"https:\/\/www.youtube.com\/watch?v=Am7EwmxBAW8\">introduction to orbital mechanics<\/a><\/li>\n<li><a href=\"https:\/\/www.celestrak.com\/software\/vallado-sw.php\">CelesTrak Astrodynamics Software<\/a> by D. Vallado. A handy resource for verifying your own code.<\/li>\n<li><a href=\"https:\/\/www.mathworks.com\/matlabcentral\/fileexchange\/14132-atmospheric-space-flight-dynamics\">Companion Matlab code for Atmospheric\/Space Flight Dynamics<\/a> by A. Tewari.<\/li>\n<li>On attitude representations and quaternions:\n<ul>\n<li>Malcolm Shuster&#8217;s <a href=\"https:\/\/drive.google.com\/file\/d\/16-aSmM1jSmH0T-7_0h9zft4DtTSxtCYc\/view?usp=sharing\">survey paper<\/a>.<\/li>\n<li><a href=\"https:\/\/drive.google.com\/file\/d\/15zlWskazbr0YSly2Qx6BeqIprv93Y5f5\/view?usp=sharing\">A fun historical perspective<\/a> on quaternions in math and engineering.<\/li>\n<li>A handy set of <a href=\"https:\/\/drive.google.com\/file\/d\/164azHxncyRXOTvB7-alQ6NbMu-8Ml3ar\/view?usp=sharing\">quaternion identities<\/a>. (<em><strong>Use these identities carefully. I am not saying that our quaternion conventions will always adhere to those of the authors.<\/strong><\/em>)<\/li>\n<\/ul>\n<\/li>\n<\/ul>\n","protected":false},"excerpt":{"rendered":"<p>Spacecraft Dynamics and Control Welcome to AA 528: Spacecraft Dynamics and Control. This is a homepage that has evolved over a few iterations of the course. Instructor: Taylor P. Reynolds The most recent course syllabus can be found here. Lecture Notes Here is a broad list of topics we will cover in some semblance of [&hellip;]<\/p>\n","protected":false},"author":2,"featured_media":1294,"parent":0,"menu_order":0,"comment_status":"closed","ping_status":"closed","template":"","meta":[],"_links":{"self":[{"href":"http:\/\/depts.washington.edu\/uwrainlab\/wp-json\/wp\/v2\/pages\/1292"}],"collection":[{"href":"http:\/\/depts.washington.edu\/uwrainlab\/wp-json\/wp\/v2\/pages"}],"about":[{"href":"http:\/\/depts.washington.edu\/uwrainlab\/wp-json\/wp\/v2\/types\/page"}],"author":[{"embeddable":true,"href":"http:\/\/depts.washington.edu\/uwrainlab\/wp-json\/wp\/v2\/users\/2"}],"replies":[{"embeddable":true,"href":"http:\/\/depts.washington.edu\/uwrainlab\/wp-json\/wp\/v2\/comments?post=1292"}],"version-history":[{"count":57,"href":"http:\/\/depts.washington.edu\/uwrainlab\/wp-json\/wp\/v2\/pages\/1292\/revisions"}],"predecessor-version":[{"id":2086,"href":"http:\/\/depts.washington.edu\/uwrainlab\/wp-json\/wp\/v2\/pages\/1292\/revisions\/2086"}],"wp:featuredmedia":[{"embeddable":true,"href":"http:\/\/depts.washington.edu\/uwrainlab\/wp-json\/wp\/v2\/media\/1294"}],"wp:attachment":[{"href":"http:\/\/depts.washington.edu\/uwrainlab\/wp-json\/wp\/v2\/media?parent=1292"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}