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Introduction
CSUN NASA PAIR PROGRAM
Introduction to Orbital Mechanics
W. Horn, B. Shapiro, C. Shubin, F. Varedi
Introduction
Newton's Laws of motion and Gravity -- Kepler's Laws, simple examples
Newton's Laws
How does the above model comply with Newton's third law?
Kepler's laws
Circular Orbits
Example:
Homework:
The two body problem
Circular Orbits
The General two Body Problem I -- Elementary Conservation Laws
Elliptic Orbits
Kepler's Equation
The three anomalies
Kepler's Equation
Numerical Solution of Kepler's equation
Orbital Elements
Examples
Coordinate Transformations
An explicit Example
Perturbations and more on Kepler motion
General formulae for perturbations
Perturbation of the energy and the angular momentum
The Laplace vector
Orbital energy in terms of semi-major axis
First integrals and osculating elements
Perturbations in the pericenter
Secular precession of pericenter
Interpretation of the result
Gravity fields and
Secular precession of the node
About this document ...
Werner Horn 2006-06-06
