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