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Chapter 1 | Introduction | 1 |
Chapter 2 | Rotational Kinematics | 6 |
2.1 | Reference Frames and Rotations | 6 |
2.2 | Angular Displacement Parameters | 15 |
2.3 | Angular Velocity | 22 |
2.4 | Comments on Parameter Alternatives | 29 |
2.5 | Problems | 31 |
Chapter 3 | Attitude Motion Equations | 39 |
3.1 | Motion Equations for a Point Mass, P | 40 |
3.2 | Motion Equations for a System of Point Masses, [Sigma]P[subscript n] | 42 |
3.3 | Motion Equations for a Rigid Body, R | 55 |
3.4 | A System with Damping, R + P | 61 |
3.5 | A Dual-Spin System, R + W | 65 |
3.6 | A Simple Multi-Rigid-Body System, R[subscript 1] + R[subscript 2] | 70 |
3.7 | Dynamics of a System of Rigid Bodies | 76 |
3.8 | Problems | 83 |
Chapter 4 | Attitude Dynamics of a Rigid Body | 93 |
4.1 | Basic Motion Equations | 93 |
4.2 | Torque-Free Motion; R Inertially Axisymmetrical | 96 |
4.3 | Torque-Free Motion; R Tri-inertial | 104 |
4.4 | Stability of Motion for R | 114 |
4.5 | Motion of a Rigid Body Under Torque | 124 |
4.6 | Problems | 129 |
Chapter 5 | Effect of Internal Energy Dissipation on the Directional Stability of Spinning Bodies | 139 |
5.1 | Quasi-Rigid Body with an Energy Sink, L | 140 |
5.2 | Rigid Body with a Point Mass Damper, R + P | 146 |
5.3 | Problems | 152 |
Chapter 6 | Directional Stability of Multispin Vehicles | 156 |
6.1 | The R + W Gyrostat | 156 |
6.2 | Gyrostat with Nonspinning Carrier | 161 |
6.3 | The Zero Momentum Gyrostat | 164 |
6.4 | The General Case | 165 |
6.5 | System of Coaxial Wheels | 178 |
6.6 | Problems | 184 |
Chapter 7 | Effect of Internal Energy Dissipation on the Directional Stability of Gyrostats | 192 |
7.1 | Energy Sink Analyses | 193 |
7.2 | Gyrostats with Discrete Dampers | 217 |
7.3 | Problems | 225 |
Chapter 8 | Spacecraft Torques | 232 |
8.1 | Gravitational Torque | 233 |
8.2 | Aerodynamic Torque | 248 |
8.3 | Radiation Torques | 260 |
8.4 | Other Environmental Torques | 264 |
8.5 | Nonenvironmental Torques | 269 |
8.6 | Closing Remarks | 271 |
8.7 | Problems | 272 |
Chapter 9 | Gravitational Stabilization | 281 |
9.1 | Context | 282 |
9.2 | Equilibria for a Rigid Body in a Circular Orbit | 293 |
9.3 | Design of Gravitationally Stabilized Satellites | 313 |
9.4 | Flight Experience | 335 |
9.5 | Problems | 346 |
Chapter 10 | Spin Stabilization in Orbit | 354 |
10.1 | Spinning Rigid Body in Orbit | 356 |
10.2 | Design of Spin-Stabilized Satellites | 381 |
10.3 | Long-Term Effects of Environmental Torques, and Flight Data | 400 |
10.4 | Problems | 416 |
Chapter 11 | Dual-Stabilization in Orbit: Gyrostats and Bias Momentum Satellites | 423 |
11.1 | The Gyrostat in Orbit | 424 |
11.2 | Gyrostats with External Rotors | 444 |
11.3 | Bias Momentum Satellites | 455 |
11.4 | Problems | 470 |
Appendix A | Elements of Stability Theory | 480 |
A.1 | Stability Definitions | 481 |
A.2 | Stability of the Origin | 492 |
A.3 | The Linear Approximation | 493 |
A.4 | Nonlinear Inferences from Infinitesimal Stability Properties | 502 |
A.5 | Liapunov's Method | 504 |
A.6 | Stability of Linear Stationary Mechanical Systems | 510 |
A.7 | Stability Ideas Specialized to Attitude Dynamics | 520 |
Appendix B | Vectrices | 522 |
B.1 | Remarks on Terminology | 523 |
B.2 | Vectrices | 523 |
B.3 | Several Reference Frames | 527 |
B.4 | Kinematics of Vectrices | 530 |
B.5 | Derivative with Respect to a Vector | 532 |
Appendix C | List of Symbols | 535 |
C.1 | Lowercase Symbols | 535 |
C.2 | Uppercase Symbols | 536 |
C.3 | Lowercase Greek Symbols | 538 |
C.4 | Uppercase Greek Symbols | 539 |
C.5 | Other Notational Conventions | 539 |
References | 541 | |
Errata | 559 | |
Index | 565 |
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Add Spacecraft Attitude Dynamics, From its roots in classical mechanics and reliance on stability theory to the evolution of practical stabilization ideas, this volume covers environmental torques encountered in space; energy dissipation; motion equations for four archetypical systems; or, Spacecraft Attitude Dynamics to the inventory that you are selling on WonderClubX
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Add Spacecraft Attitude Dynamics, From its roots in classical mechanics and reliance on stability theory to the evolution of practical stabilization ideas, this volume covers environmental torques encountered in space; energy dissipation; motion equations for four archetypical systems; or, Spacecraft Attitude Dynamics to your collection on WonderClub |