Instructor: Mehran Mesbahi
Aeronautics and Astronautics
Gug. 318E
Email: mesbahi@uw.edu
Tel: (206) 543-7937
Syllabus
Lecture videos
Discussion Board
Schedule:
1/8: introduction, coordinate frames; attitude parameterization, direction cosine matrices intro and slides
1/10: orthogonal matrices, Euler's theorem, Euler axis, Euler angles, quaternions, six classical orbital parameters slides
HW#1: 2.1, 2.2, 2.3, 2.4, 2.5, 2.6, 2.8, 2.14, 2.15, 2.16 (Due on Wed. 1/23 at 1:00 pm at https://catalyst.uw.edu/collectit/dropbox/mesbahi/25383)
1/15: more on attitude kinematics; angular velocity and rate of change of DCMs and quaternions slides
1/17: rigid body kinematics; Euler's equations
HW#2: 2.12, 2.17, 13.1, 13.2, 13.5, simulate equation (13.43) and comment on the corresponding S/C dynamics (Due on Wed. 1/30 at 1:00 pm at
https://catalyst.uw.edu/collectit/dropbox/mesbahi/25383)
1/22: Euler's equations, axisymmetric spacecraft, precession slides
1/24: precession, nutation, rotational stability, intro. to attitude control slides
1/:29 quaternion feedback and attitude control, Lyapunov/La Salle's approach slides
HW#3: 13.4; simulate the quaternion feedback control law discussed in class for an asymmetric cube-sat rest-to-rest reorientation between an arbitrary orientation and the inertial coordinate frame. Do this simulation with 3 distinct initial conditions and comment on the performance of the algorithm; implement the Simulink diagram of Examples 14.2 and 14.3 (Due on Wed. 2/6 at 1:00 pm at
https://catalyst.uw.edu/collectit/dropbox/mesbahi/25383)
1/31: discuss some of the homework problems, Yo-Yo mechanism, introduction to momentum exchange slides
2/5: momentum exchange, gravity gradient slides
2/7: gravity gradient, pitch stability slides
HW#4: 13.7; 13.9; simulate the quaternion feedback control law discussed in class for an asymmetric cube-sat with some arbitrary initial angular velocity and orientation, to an two arbitrary orientation at rest; implement inducing a rotation about one body axis via the rotor dynamics derived in the 2/5 lecture (see page 6 of slides for lecture on 2/5); read 4.5 (Due on Wed. 2/13 at 1:00 pm at
https://catalyst.uw.edu/collectit/dropbox/mesbahi/25383)
2/12: roll/yaw stability; 2-body problem slides
2/14: 2-body problem; intro to 3-body problem slides
2/19: 3-body problem
2/21: CR3BP, Lagrange points, Halo orbits slides
2/21: upload the abstract of the paper/topic title by 5:00 pm at https://catalyst.uw.edu/collectit/dropbox/mesbahi/25383
HW#5: 4.2, 4.3, 4.9, 4.10, 5.8, 5.9, 7.2 (Due on Fri. 2/24 at 5:00 pm at https://catalyst.uw.edu/collectit/dropbox/mesbahi/25383)
2/26: Midterm
2/28: more on stability of Lagrange points, Jacobi's constant slides
3/5: review of the midterm (see the lecture videos); more on accessible regions; Halo orbits slides
HW#6: 7.1, 7.3, 7.4, 7.5, 7.6 (Due on Wed 3/6 at 1:00 pm at https://catalyst.uw.edu/collectit/dropbox/mesbahi/25383)
3/7: More on Halo orbits; proximity operations slides
3/12: gravity of axisymmetric planet slides
HW#7: (1) A spacecraft is located at 6,000 km from earth’s center. What is the minimum
initial relative velocity needed for the spacecraft to reach earth-Moon L4? How about
earth-Sun L4? (2) reproduce the example/simulations on pages 287-289 of Wie's book; (3) for a target spacecraft in 300 km equatorial circular orbit, simulate the rendezvous and
ellipitic flyby trajectory; show your work both in the frame attached to the target spacecraft as well as in the inertial frame (with earth at the center). If you
have numerical problems, you can scale the constants to show the typical trajectories rather than the actual ones, (4) 3.1, (5) 3.2, TBD (Due on Friday 3/15 at 5:00 pm at https://catalyst.uw.edu/collectit/dropbox/mesbahi/25383)
3/14: Review; projects, final
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3/20: Final (in-class from 10:30 am-12:30 pm)
3/20: Project Report Due at 5:00 pm at https://catalyst.uw.edu/collectit/dropbox/mesbahi/25383
Midterm: Tuesday, February 26th, 2013, 9:30-10:50 am LOW 206 (Edge students: please see http://www.engr.uw.edu/pce/exams.html)
Final: Wednesday, March 20th, 2013, 10:30am-12:20pm, LOW 206 (Edge students: please see http://www.engr.uw.edu/pce/exams.html)
Dropbox Location for Homework Upload
https://catalyst.uw.edu/collectit/dropbox/mesbahi/25383
Project
The project report will be due on the last week of the quarter. The project selection
involves the following steps:
1) Choose a topic that has an intersection with some of the topics covered in the class-
for this you have a few options:
a) browse the textbook and see if there are sections in the book that seem interesting
to delve into more, e.g., space shuttle attitude control, attitude control for ISS,
asteroid deflection, large space structures, time optimal rendezvous, etc.
b) Search for some topics of interest on the internet, e.g., low thrust orbital maneuvers, self-organized space colonies,
attitude control for launch vehicles, asteroid landing, etc., the main constraints is that it has to have an
intersection with some of the topics discussed in the class. Find the paper that discusses the topic of
interest- preferably this paper is peer-reviewed and has appeared in reputable journals.
Remember, the main ingredients of choosing the right topic are i) that you learn about something more in depth
related to class, ii) have fun doing it, and iii) you can do a great job on it so that you get a good grade for the effort!
2) upload the abstract of the paper/topic title by 2/21/2013 at 5:00 pm at https://catalyst.uw.edu/collectit/dropbox/mesbahi/25383
3) start reading the paper, design simulations, get intuition about the work that you have chosen.
4) Write a report about your topic: introduction, abstract, what the paper/report/ is trying to achieve, what is the adopted
approach, underlying theory, your simulations, your observations, what is good about the approach, what are its shortcomings,
+ references (important).
I prefer that you use Latex; but Word is also fine- in any case, you can use the style files for
both Word or Latex on http://css.paperplaza.net/conferences/support/support.php
2-column format with 10 or 11pt font is okay. I am looking for about 3 (max. 4) pages of report
double column. If you need more room for simulations, that is fine but the text part+references
should not be more than 3-4 pages (double column).
if any of this is not clear, please let me know.
Other References
Aerospace Blockset
slides on quaternions
