University of Southern California USC Astronautics and Space Technology Division The USC Andrew and Erna Viterbi School of Engineering USC
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ASTE 480 Spring 2008:
Spacecraft Dynamics

3 units; 6:30-9:10 Wednesdays, VHE 214


Instructor:

Bryan Cooley, RRB 227.

Office Hours: Wednesdays 4:30-6:30


Text: John McIntyre, Spacecraft Dynamics. Course reader, available at USC Bookstore.

Recommended text (optional): Marcel J. Sidi, Spacecraft Dynamics and Control - A Practical Engineering Approach, Cambridge University Press 2000 (paperback, reprint edition). ISBN 0-521-78780-7

Additional reading:
Peter C. Hughes, Spacecraft Attitude Dynamics, Dover Publications 1986. ISBN 0-486-43925-9
Marshall H. Kaplan, Modern Spacecraft Dynamics & Control, John Wiley & Sons 1976. ISBN 0-471-45703-5

Midterm Exam: Wednesday, March 12, in class.

Final Exam: Wednesday, May 7, 7-9 PM, in the regular classroom.

Homework: Assigned weekly. Due on Wednesdays in class.

Grading: Homework, 30%; midterm exam, 30%; final exam, 40%.


Course Material:

The readings refer to the numbered sets of notes in the course reader.

Week

Date

Topic

Reading

1

01/16

Mathematical preliminaries. Matrices and vectors. Time rate of change of a vector. Orientation of a rigid body.

Set #1

2

01/23

Mathematical preliminaries (continued). Eigenvalues and eigenvectors of square matrices. Solution of linear autonomous systems.

Set #1

3

01/30

Newtonian mechanics. Motion of a single particle. System of particles: The force equation. System of particles: The torque equation . Angular momentum of a rigid body. The inertia matrix J. Euler's equations for a rigid body. Kinetic energy.

Set #2

4

02/06

Newtonian mechanics (continued). Angular momentum about an arbitrary point. Rigid body problems. Stability of autonomous differential systems. Definition and nomenclature.

Sets #2, #3

5

02/13

Stability of autonomous differential systems (continued). Stability of linear autonomous systems. Stability of non-linear autonomous systems. Method of Liapunov.

Set #3

6

02/20

Spinning spacecraft dynamics. Torque-free motion. Spacecraft balance. Motion under constant transverse torque.

Set #4

7

02/27

Spinning spacecraft dynamics (continued). Non-rigid spacecraft. Nutation dampers. Spinning spacecraft maneuvers. Sensor and thruster arrangements. Precession maneuver.

Sets #4, #5

8

03/05

Review before the exam.

 

9

03/12

MIDTERM EXAM.

 

 

03/17-03/21

SPRING BREAK

 

10

03/26

Spinning spacecraft maneuvers (continued). Spacecraft delta-V maneuvers. Spin maneuver.

Set #5

11

04/02

Spinning spacecraft maneuvers (continued). Active nutation control. Flat spin recovery. Inadvertent spin down.

Set #5

12

04/09

Dual-spin spacecraft. Stability and nutation coning. Dual spin maneuvers. Rotor balance.

Set #6

13

04/16

Dual-spin spacecraft (continued). Platform despin motion and control. Quasi rigid dual spin spacecraft. Dual spin equations of motion.

Set #6

14

04/23

Gravity gradient spacecraft. Gravity gradient torque. Vehicle stabilization in a circular orbit.

Set #7

15

04/30

Gravity gradient spacecraft (continued). Gravity gradient effects on spinning bodies. Two gravity gradient orbital effects.

Set #7