Preface xvii

1 Kinematics 1

Notes 44

References 45

2 Rigid Body Dynamics 47

Notes 63

References 63

3 The Keplerian Two-Body Problem 65

Notes 98

References 98

4 Preliminary Orbit Determination 99

Notes 114

References 114

5 Orbital Maneuvers 115

Notes 128

Reference 128

6 Interplanetary Trajectories 129

Notes 146

References 147

7 Orbital Perturbations 149

Notes 180

References 181

8 Low Thrust Trajectory Analysis and Design 183

Notes 188

References 188

9 Spacecraft Formation Flying 189

Notes 207

Reference 207

10 The Restricted Three-Body Problem 209

Notes 218

References 218

11 Introduction to Spacecraft Attitude Stabilization 219

12 Disturbance Torques on a Spacecraft 227

Notes 234

Reference 234

13 Torque-Free Attitude Motion 235

Notes 245

References 245

14 Spin Stabilization 247

Notes 253

References 253

15 Dual-Spin Stabilization 255

Notes 266

References 266

16 Gravity-Gradient Stabilization 267

Notes 277

References 277

17 Active Spacecraft Attitude Control 279

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Contents

57

58

59

Notes

63

References 63

3 The Keplerian Two-Body Problem 65

67

67

68

72

83

84

88

89

89

90

Notes

98

References 98

4 Preliminary Orbit Determination 99

Problem) 109

110

Notes

114

References 114

5 Orbital Maneuvers 115

118

120

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Contents

ix

Notes

128

Reference 128

6 Interplanetary Trajectories 129

139

141

Notes

146

References 147

7 Orbital Perturbations 149

151

151

2

163

J

2

on the Orbital Elements 164

168

169

Notes

180

References 181

8 Low Thrust Trajectory Analysis and Design 183

Notes

188

References 188

9 Spacecraft Formation Flying 189

195

195

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Contents

198

200

202

203

204

207

Notes

207

Reference 207

10 The Restricted Three-Body Problem 209

211

212

213

215

216

218

Notes

218

References 218

11 Introduction to Spacecraft Attitude Stabilization 219

220

221

224

12 Disturbance Torques on a Spacecraft 227

Notes

234

Reference 234

13 Torque-Free Attitude Motion 235

Notes

245

References 245

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Contents

xi

14 Spin Stabilization 247

252

253

Notes

253

References 253

15 Dual-Spin Stabilization 255

Notes

266

References 266

16 Gravity-Gradient Stabilization 267

272

273

277

Notes

277

References 277

17 Active Spacecraft Attitude Control 279

Notes 320

References 320

18 Routh's Stability Criterion 321

Notes 330

References 330

19 The Root Locus 331

Notes 353

References 353

20 Control Design by the Root Locus Method 355

Notes 369

References 369

21 Frequency Response 371

Notes 385

References 385

22 Relative Stability 387

Notes 410

References 410

23 Control Design in the Frequency Domain 411

Notes 435

References 435

24 Nonlinear Spacecraft Attitude Control 437

Notes 456

References 457

25 Spacecraft Navigation 459

Notes 496

References 497

26 Practical Spacecraft Attitude Control Design Issues 499

Notes 539

References

Appendix A: Review of Complex Variables 541

Appendix B: Numerical Simulation of Spacecraft Motion 557

Notes 561

Reference 561

Index 563