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 280 Spring 2008:
Astronautics and Space Environment I

3 units; 4:00-5:20 Tuesday and Thursday, GFS 116


Instructor:

Dan Erwin, RRB 222, (213) 740-5358, erwin@usc.edu.

Office Hours: Tuesdays 1-3, Thursdays 10-1, or by appointment.


Text: Course notes. To be posted in pdf form on this website.

Additional text (optional): Francis J. Hale, Introduction to Space Flight. Prentice Hall, 1994.

Additional material which may be useful:

R. R. Bate, D. D. Mueller and J. E. White, Fundamentals of Astrodynamics. New York: Dover, 1971. (Cheap! Its only problem is the units -- it uses feet, slugs, etc.)


Midterm Exams: Thursday, February 28, in class. Thursday, April 3, in class.

Final Exam: Thursday, May 8, 4:30 PM-6:30 PM in the regular classroom

Homework: Assigned weekly. Due on Thursdays in class.

Grading: Homework, 15%; each midterm, 25%; final exam, 35%.


What you should already know: Calculus through differential equations. Physics: mechanics, electromagnetism, a little optics. Enough about Matlab to write simple programs and make plots.


Course Material:

The times and topics given below are approximate. We will see how things go and take more or less time on each topic as seems appropriate.

Week

Date

Topic

1

01/15 & 01/17

Class organization. Length scales: Solar system and astronomical unit. Types of coordinate systems. Spherical trigonometry laws and applications.

2

01/22 & 01/24

Rotations and rotation matrices. Proofs of spherical trigonometry laws. Translations and homogeneous coordinates.

3

01/29 & 01/31

Location of planets and stars in night sky. Orientation angles: Euler, RPY.

4

02/05 & 02/07

Universal time and Julian date. Sidereal and solar time. Newtonian gravitation, circular orbits, escape velocity. Two-body motion: angular momentum; energy and velocity on orbit. Conic sections.

5

02/12 & 02/14

Time of flight and period of elliptical orbit. Classical orbital elements.

6

02/19 & 02/21

Derivation of Kepler's laws. Flight path angle. Geostationary and Molniya orbits.

7

02/26 & 02/28

Orbital perturbations: regression of nodes, apsidal rotation. Ground track. Hyperbolic orbits. Velocity in hyperbolic orbit. Time of flight for hyperbolic orbit.
1st MIDTERM EXAM.

8

03/04 & 03/06

Field of view. Orbital maneuvers. Hohmann transfer. Plane changes. Fast transfers.

9

03/11 & 03/13

Gravity assist. Interplanetary launch opportunities. Oberth maneuver. Departure hyperbola. Launch window.

 

03/17-03/21

SPRING BREAK

10

03/25 & 03/27

Intro to vehicle performance. Rocket equation. Liquid- and solid-fueled rockets.

11

04/01 & 04/03

Specific impulse. Optimal nozzle area. Performance in air and gravity.
2nd MIDTERM EXAM.

12

04/08 & 04/10

Gravity turn. Staging. Launch sites.

13

04/15 & 04/17

Intro to attitude dynamics and control. Gravity-gradient stabilization. Thrusters and reaction wheels. Rigid body dynamics.

14

04/22 & 04/24

Angular momentum. Moments of inertia. Transformation of time derivatives. Realignment of spinning spacecraft. Gyros.

15

04/29 & 05/01

Intro to space environment. Atmosphere. Ionosphere and communications. Geomagnetic field. Review.