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Unformatted text preview: ASTE 280 Astronautics and Space Environment I Dan Erwin USC Astronautics and Space Technology Division Spring 2006 Copyright 2006 by Dan Erwin. All rights reserved. ii ASTE 280 S PRING 2006 U NIVERSITY OF S OUTHERN C ALIFORNIA Contents 1 Week 1, Tuesday 1 1.1 Intro to class . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 1 1.2 A few basic definitions and key values . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 1 1.2.1 Astronomical unit and size of solar system . . . . . . . . . . . . . . . . . . . . . . . . . . . 1 1.2.2 Solar and sidereal days . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 1 1.2.3 Relativistic vs. Newtonian physics . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 2 1.2.4 Law of gravity . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 2 1.2.5 Gravitational parameter . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 3 1.2.6 Circular orbits . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 4 1.2.7 Energy on orbit . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 4 1.2.8 Escape velocity . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 5 1.2.9 Altitude and radius . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 5 2 Week 1, Thursday 6 2.1 Two-body motion with one mass negligibly small . . . . . . . . . . . . . . . . . . . . . . . . . . . . 6 2.2 Solution of equation of motion . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 6 2.2.1 Angular momentum . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 8 2.2.2 Energy of orbit . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 8 2.2.3 Velocity on orbit . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 8 2.3 Time and coordinate systems . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 9 2.3.1 Universal time . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 9 2.3.2 Julian date . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 9 2.3.3 Coordinate systems . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 9 3 Week 2, Tuesday 11 3.1 Conic sections . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 11 3.2 Time since periapsis for elliptical orbit . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 11 3.3 Period of elliptical orbit . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 12 3.4 Classical orbital elements . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 12 4 Week 2, Thursday 14 4.1 Constant angular momentum . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 14 iii iv...
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This note was uploaded on 04/28/2008 for the course ASTE 280 taught by Professor Erwin during the Spring '06 term at USC.

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aste280 - ASTE 280 Astronautics and Space Environment I Dan...

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