Bate, Mueller, and White - Fundamentals of Astrodynamics ... - UL FGG

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2.12 Improving a Preliminary Orbit by
Differential Correction . . . . .. . . . . . . . . 12 2
2.13 Space Surveillance . . . . . . . . . . . . . . . . . . 13 1
2.14 Type and Location of Sensors . . . . . . . . . . 132
2.15 Ground Track of a Satellite . . . .. . . . . . . . 14 0
Exercises . . . . . . . . . . . . . . . . . . . . . . . . . . . . 144
List of References . . . . . . . . . . . . . . . . . .. . . . 149
Chapter 3 BASIC ORBITAL MANEUVERS . . . . . . . . . . . . . . 151
3.1 Low Altitude Earth Orbits . . . . . . . . . . . . 152
3.2 High Altitude Earth Orbits . . . . . .. . . . . . 160
3.3 In-Plane Orbit Changes . . . . . . . . . . . . . . . 162
3.4 Out-of-Plane Orbit Changes . . . . . . . . . . . . 169
Exercises . . . . . . . . . . . . . . . . . . . . . . . . . . . . 174
List of References . . . . . . . . . . .. . . . . . . . . . . 176
Chapter 4 POSITION AND VELOCITY AS A
FUNCTION OF TIME . . . . . . . . . . . . . . . . . . . . . 177
4.1 Historical Background . . . . . . . . . . . . . . . 177
4.2 Time-of-Flight as a Function of
Eccentric Anomaly . . . . . . . . . . . . . . . . 181
4.3 A Universal Formulation for
Time-of-Flight . . . . . . . . . . . . . . . . . . . 191
4.4 The Prediction Problem . . . . . . . . . .. . . . 193
4.5 Implementing the Universal
Variable Formulation . . . . . . . . .. . . . . . 203
4.6 Classical Formulations of the
Kepler Problem . . . . . . . . . . . . . . . . . . . 212
Exercises . . . . . . . . . . . . . . . . . . . . . .. . . . . . 222
List of References . . . . . . . . . . . . . . . .. . . . . . 225
Chapter 5 ORBIT DETERMI NATION FROM
TWO POSITIONS AND TIME . . . . . . . . . . . . . . . . 227
5.1 Historical Background . . . . . . . . . . . . . . . 227
5.2 The Gauss Problem - General Methods
of Solution . . . . . . . . . . . . . . . . . . . . . 228
5.3 Solution of the Gauss Problem
via Universal Variables . . . . . . . .. . . . . . 231
5.4 The p-Iteration Method . . . . . . . . . . . . . . 241