Spacecraft Attitude Dynamics

by Hughes, Peter C.

• ISBN13: 9780486439259
• ISBN10: 0486439259
• Format: Paperback
• Copyright: 2004-12-17
• Publisher: Dover Publications

Summary

From its roots in classical mechanics and reliance on stability theory to the evolution of practical stabilization ideas, this volume offers comprehensive coverage of environmental torques encountered in space; energy dissipation and its effects on the attitude stability of spinning bodies; motion equations for four archetypical systems; orientation parameters; illustrations of key concepts with on-orbit flight data; and typical engineering hardware, with examples of the implementation of dynamic ideas. The sole prerequisites are a fundamental knowledge of vector dynamics and matrix algebra; suitable for use as a text for advanced undergraduates and graduate students, this unified treatment is also a valuable reference for professionals. 1986 ed.

Table of Contents

CHAPTER 1 INTRODUCTION	1	(5)
CHAPTER 2 ROTATIONAL KINEMATICS	6	(33)
2.1 Reference Frames and Rotations	6	(9)
2.2 Angular Displacement Parameters	15	(7)
2.3 Angular Velocity	22	(7)
2.4 Comments on Parameter Alternatives	29	(2)
2.5 Problems	31	(8)
CHAPTER 3 ATTITUDE MOTION EQUATIONS	39	(54)
3.1 Motion Equations for a Point Mass, P	40	(2)
3.2 Motion Equations for a System of Point Masses, ΣPn	42	(13)
3.3 Motion Equations for a Rigid Body, R	55	(6)
3.4 A System with Damping, R+P	61	(4)
3.5 A Dual-Spin System, R+ W	65	(5)
3.6 A Simple Multi-Rigid-Body System, R1 + R2	70	(6)
3.7 Dynamics of a System of Rigid Bodies	76	(7)
3.8 Problems	83	(10)
CHAPTER 4 ATTITUDE DYNAMICS OF A RIGID BODY	93	(46)
4.1 Basic Motion Equations	93	(3)
4.2 Torque-Free Motion; R Inertially Axisymmetrical	96	(8)
4.3 Torque-Free Motion; R Tri-inertial	104	(10)
4.4 Stability of Motion for R	114	(10)
4.5 Motion of a Rigid Body Under Torque	124	(5)
4.6 Problems	129	(10)
CHAPTER 5 EFFECT OF INTERNAL ENERGY DISSIPATION ON THE DIRECTIONAL STABILITY OF SPINNING BODIES	139	(17)
5.1 Quasi-Rigid Body with an Energy Sink, 2	140	(6)
5.2 Rigid Body with a Point Mass Damper, R + P	146	(6)
5.3 Problems	152	(4)
CHAPTER 6 DIRECTIONAL STABILITY OF MULTISPIN VEHICLES	156	(36)
6.1 The R + W Gyrostat	156	(5)
6.2 Gyrostat with Nonspinning Carrier	161	(3)
6.3 The Zero Momentum Gyrostat	164	(1)
6.4 The General Case	165	(13)
6.5 System of Coaxial Wheels	178	(6)
6.6 Problems	184	(8)
CHAPTER 7 EFFECT OF INTERNAL ENERGY DISSIPATION ON THE DIRECTIONAL STABILITY OF GYROSTATS	192	(40)
7.1 Energy Sink Analyses	193	(24)
7.2 Gyrostats with Discrete Dampers	217	(8)
7.3 Problems	225	(7)
CHAPTER 8 SPACECRAFT TORQUES	232	(49)
8.1 Gravitational Torque	233	(15)
8.2 Aerodynamic Torque	248	(12)
8.3 Radiation Torques	260	(4)
8.4 Other Environmental Torques	264	(5)
8.5 Nonenvironmental Torques	269	(2)
8.6 Closing Remarks	271	(1)
8.7 Problems	272	(9)
CHAPTER 9 GRAVITATIONAL STABILIZATION	281	(73)
9.1 Context	282	(11)
9.2 Equilibria for a Rigid Body in a Circular Orbit	293	(20)
9.3 Design of Gravitationally Stabilized Satellites	313	(22)
9.4 Flight Experience	335	(11)
9.5 Problems	346	(8)
CHAPTER 10 SPIN STABILIZATION IN ORBIT	354	(69)
10.1 Spinning Rigid Body in Orbit	356	(25)
10.2 Design of Spin-Stabilized Satellites	381	(19)
10.3 Long-Term Effects of Environmental Torques, and Flight Data	400	(16)
10.4 Problems	416	(7)
CHAPTER 11 DUAL-STABILIZATION IN ORBIT: GYROSTATS AND BIAS MOMENTUM SATELLITES	423	(57)
11.1 The Gyrostat in Orbit	424	(20)
11.2 Gyrostats with External Rotors	444	(11)
11.3 Bias Momentum Satellites	455	(15)
11.4 Problems	470	(10)
APPENDIX A ELEMENTS OF STABILITY THEORY	480	(42)
A.1 Stability Definitions	481	(11)
A.2 Stability of the Origin	492	(1)
A.3 The Linear Approximation	493	(9)
A.4 Nonlinear Inferences from Infinitesimal Stability Properties	502	(2)
A.5 Liapunov's Method	504	(6)
A.6 Stability of Linear Stationary Mechanical Systems	510	(10)
A.7 Stability Ideas Specialized to Attitude Dynamics	520	(2)
APPENDIX B VECTRICES	522	(13)
B.1 Remarks on Terminology	523	(1)
B.2 Vectrices	523	(4)
B.3 Several Reference Frames	527	(3)
B.4 Kinematics of Vectrices	530	(2)
B.5 Derivative with Respect to a Vector	532	(3)
APPENDIX C LIST OF SYMBOLS	535	(6)
C.1 Lowercase Symbols	535	(1)
C.2 Uppercase Symbols	536	(2)
C.3 Lowercase Greek Symbols	538	(1)
C.4 Uppercase Greek Symbols	539	(1)
C.5 Other Notational Conventions	539	(2)
REFERENCES	541	(18)
ERRATA	559	(6)
INDEX	565