AA 528
Winter Quarter 2025
Spacecraft dynamics and control involve understanding how gravitation, in addition to other forces such as drag and environmental perturbations, lead to interesting dynamics and means by which such a dynamics can be estimated and controlled. The list of topics that would fit this umbrella is indeed vast; these topics could intersect astrodynamics, planetary motion, ascent and descent trajectories, attitude dynamics, orbital perturbations, three-body problem and Halo orbits, underlying the mechanics and operation of sensors and actuators, guidance problems, verification and validation, data science of space mission analysis, design, and operation, constellations and formation flight, among so many others. But I had to draw the line for a one quarter course! Hence, here are the topics that I plan to discuss this quarter; even if you have seen these topics before, you will learn something new. week 1) Coordinates and Orientations: coordinate frames, rotation matrices, groups; quaternions and some algebra week 2) Taking derivatives, kinematics for translation and rotation; dynamics for translation and rotation; stability of torque free motion, week 3) two-body problem and examples covering landing and satellite reconfiguration via quaternion feedback, week 4) gravity gradients and introduction to rendezvous and docking, week 5) more on rendezvous problem and perturbation theory, week 6) attitude estimation, week 7) attitude control, week 8) restricted three body problem, week 9) GPS, constellations, space networks, and week 10) group presentations. It will be fun!
Please see the "Announcements" link on Class Canvas for a poll before the first class
Class Time: (Wednesdays and Fridays) 10:00 am - 11:20 am
Class Room: Guggenheim Hall 204
Homework Assignments: Assigned every Friday and due the following Friday at 11:59pm on Class Canvas; homework grades will also be available on canvas
Homework Submission Link: Class Canvas
Project: There will be a project/paper/presentation for the course assigned during the second half of the course and due at the end of the quarter
Grading: Homework assignments will be 65% of the grade and 35% will be project
Office Hours: Thursdays 4:00-6:00 pm in Guggenheim Hall 211/conference room; no office hours on Feb. 13 and no homework due on Feb. 14
The e-book version of the book can be purchased from here, as well as the bookstore and on Amazon.
The current version of my lecture notes in their entirety can be found here; some variation of the notes for each lecture can be found below.
Course Schedule, Winter 2025 | |||||
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Date | Topics | MM Notes | Reminders | ||
Jan 8 | introductory remarks | mehran-lecture0 | preface to lecture notes | ||
Jan 8 | syllabus/logistics; introduction; coordinate frames | mehran-lecture1 (1/14;2:39pm) | please go over my "not-due" assignment for this lecture | ||
Jan 10 | parameterization of SO(3); quarternions | mehran-lecture2 (1/15;6:20pm) | HW#1 assigned | ||
Jan 15 | kinematics | mehran-lecture3 (1/14;2:39pm) | started adding time tags to lecture notes for updates | ||
Jan 17 | dynamics | mehran-lecture4 (1/16;11:00pm) | HW#2 assigned; HW#1 due | ||
Jan 22 | 2-body problem | mehran-lecture5 (1/25;5:17pm) | |||
Jan 24 | example: simple landing guidance | mehran-lecture6 (1/25;5:17pm) | HW#3 assigned; HW#2 due | ||
Jan 29 | attitude reconfiguration; axisymmetric spacecraft | mehran-lecture7 (1/25;5:17pm) | |||
Jan 31 | gravity gradient stabilization | mehran-lecture8 (1/31;11:30am) | HW#4 assigned; HW#3 due | ||
Feb 5 | rendezvous and docking | mehran-lecture9 (2/5;1:25pm) | |||
Feb 7 | perturbation theory | mehran-lecture10 (2/4;5:05pm) | HW#5 assigned; HW#4 due | ||
Feb 12 | attitude determination | mehran-lecture11 (2/11;5:21pm) | |||
Feb 14 | no class | No homework due this week/except project papers | |||
Feb 19 | attitude control | mehran-lecture12 (2/18;6:21pm) | |||
Feb 21 | more on attitude control | mehran-lecture13 (2/20;9:50pm) | HW#6 assigned; HW#5 due | ||
Feb 26 | CMGs | mehran-lecture14 (2/26;5:41pm) | paper this lecture is based on (2/26;5:41pm) | ||
Feb 28 | restricted three-body problem | mehran-lecture15 (2/26;5:41pm) | HW#7 assigned; HW#6 due | ||
March 5 | more on restricted three-body problem | mehran-lecture16 (3/4;11:21pm) | |||
March 7 | constellations, GPS, space networks | mehran-lecture17 (3/6;11:15pm) | HW#7 due | ||
March 12 | Project Presentations | students presenting on their projects | |||
March 14 | Project Presentations | students presenting on their projects | Project reports due on March 17 at 11:59pm |
During the course of the quarter, I will include some papers below that you can consider to dive into for your project. However, if there are other papers that you like to consider, please coordinate with me ahead of time (at least 3-4 weeks before the end of the quarter).
Some suggested Papers for the Project | |||||
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Related to Lecture | Papers | Student assigned | |||
landing/guidance | sample related papers | notes | |||
halo orbits | sample related papers | notes | |||
quaternions | sample related papers | notes | |||
attitude estimation | sample related papers | notes | |||
RW and CMGs | sample related papers | notes | |||
constellation design | sample related papers | notes |