Syllabus

Introduction - Applications of Orbital Mechanics

Chapter 1 - Equations of Motion

A. Newton's Laws (Force of Gravity - Point Mass and Spheres)

B. Two-Body Equations of Motion

C. Energy and Angular Momentum Integrals of Motion

D. Characteristics of Conic Motion - Perigee, Apogee, etc.

E. Classical Orbit Elements

F. Position, Velocity --> Orbit Elements

G. Orbit Elements --> Position, Velocity

Chapter 2 - The Orbit as a Function of Time

A. The Anomalies

B. Keplers Equation

C. Solution of Keplers Equation

D. Satellite Ground Tracks

Chapter 3 - Fundamentals of Coordinate Systems and Time

A. Coordinate Systems (astronomical, Earth-fixed, etc.)

B. Measurement of Time

C. The Shape of the Earth

Chapter 6 - Orbit Maneuvers

A. Coplanar Transfers

B. Hohmann Transfer and Rendezvous

C. Relative Motion

D. Non-Coplanar Transfers

Chapters 8 and 9 - Perturbations

A. The N-Body Problem

B. The Restricted 3-Body Problem

C. Perturbation Methods

D. The Earth's Gravity Field and the Effects of Oblateness

E. Atmospheric Drag and Solar Radiation Pressure

Chapter 11 - Applications

A. Special Orbits

B. Global Positioning System

C. Interplanetary Orbits