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

      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

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