Rent 9780195078343 | Orbital Mechanics | Prussing, John E.; Conway, Bruce A. @knetbooks.com

Summary Table of Contents Author Biography

One of the major challenges of modern space mission design is the orbital mechanics -- determining how to get a spacecraft to its destination using a limited amount of propellant. Recent missions such as Voyager and Galileo required gravity assist maneuvers at several planets to accomplishtheir objectives. Today's students of aerospace engineering face the challenge of calculating these types of complex spacecraft trajectories. This classroom-tested textbook takes its title from an elective course which has been taught to senior undergraduates ... MORE

The n - Body Problem

(23)

Introduction

(3)

Equations of Motion for the n - Body Problem

... MORE

(3)

Justification of the Two-Body Model

(3)

The Two-Body Problem

(3)

The Elliptic Orbit

(2)

Parabolic, Hyperbolic, and Rectilinear Orbits

(2)

Energy of the Orbit

(7)

References

(1)

Problems

(4)

Position in Orbit as a Function of Time

(20)

Introduction

(1)

Position and Time in an Elliptic Orbit

(4)

Solution for the Eccentric Anomaly

(2)

The f and g Functions and Series

(4)

Position versus Time in Hyperbolic and Parabolic Orbits: Universal Variables

(10)

References

(1)

Problems

(4)

The Orbit in Space

(16)

Introduction

(1)

The Orbital Elements

(3)

Determining the Orbital Elements from r and v

(5)

Velocity Hodographs

(8)

References

(1)

Problems

(3)

Lambert's Problems

(19)

Introduction

(1)

Transfer Orbits Between Specified Points

(5)

Lambert's Theorem

(3)

Properties of the Solutions to Lambert's Equation

(5)

The Terminal Velocity Vectors

(3)

Applications of Lambert's Equation

(3)

References

(1)

Problems

(2)

Rocket Dynamics

(18)

Introduction

(1)

The Rocket Equation

(2)

Solution of the Rocket Equation in Field-Free Space

(4)

Solution of the Rocket Equation with External Forces

(1)

Rocket Payloads and Staging

(4)

Optimal Staging

(7)

References

(1)

Problems

(2)

Impulsive Orbit Transfer

(21)

Introduction

(1)

The Impulsive Thrust Approximation

(3)

Two-Impulse Transfer between Circular Orbits

102

(2)

The Hohmann Transfer

104

(4)

Coplanar Extensions of the Hohmann Transfer

108

(4)

Noncoplanar Extensions of the Hohmann Transfer

112

(2)

Conditions for Intercept and Rendezvous

114

(6)

References

117

(1)

Problems

118

(2)

Interplanetary Mission Analysis

120

(19)

Introduction

120

(1)

Sphere of Influence

121

(3)

Patched Conic Method

124

(4)

Velocity Change from Circular to Hyperbolic Orbit

128

(1)

Planetary Flyby (Gravity-Assist) Trajectories

129

(5)

Flyby Following a Hohmann Transfer

134

(5)

References

137

(1)

Problems

137

(2)

Linear Orbit Theory

139

(16)

Introduction

139

(1)

Linearization of the Equations of Motion

139

(3)

The Hill-Clohessy-Wiltshire (CW) Equations

142

(2)

The Solution of the CW Equations

144

(6)

Linear Impulsive Rendezvous

150

(5)

References

153

(1)

Problems

153

(2)

Perturbation

155

(15)

Introduction

155

(1)

The Perturbation Equations

155

(9)

Effect of Atmospheric Drag

164

(1)

Effect of Earth Oblateness

164

(6)

References

168

(1)

Problems

168

(2)

Orbit Determination

170

(18)

Introduction

170

(2)

Angles-Only Orbit Determination

172

(1)

Laplacian Initial Orbit Determination

173

(3)

Gaussian Initial Orbit Determination

176

(4)

Orbit Determination from Two Position Vectors

180

(1)

Differential Correction

181

(7)

References

185

(1)

Problems

186

(2)

Appendix 1 Astronomical Constants

188

(1)

Appendix 2 Physical Characteristics of the Planets

189

(1)

Appendix 3 Elements of the Planetary Orbits

190

(1)

Index

191

John A. Prussing and Bruce A. Conway are Professors of Aeronautical and Astronautical Engineering at the University of Illinois at Urbana-Champaign.

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Orbital Mechanics

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