1 The Gyroscope. - 1. 1 Angular Momentum. - 1. 2 Time Derivative of Angular Momentum. - 1. 3 Inertia Tensor. - 1. 4 The Huygens-Steiner Parallel Axes Theorem. - 1. 5 Principal Inertia Moments. - 1. 6 Kinetic Energy. - 1. 7 Euler Equations. - 1. 8 Euler Equations for Principal Axes. - 1. 9 Euler Angles. - 1. 10 Coordinate Transformation. - 1. 11 Coordinate Transformation of Angular Velocities. - 1. 12 Integrability. - 1. 13 The Magnus Shape Triangle. - Suggested Reading. - Problems. - 2 Center of Gravity. - 2. 1 Rod Satellite. - 2. 2 Small Rod Satellite. - 2. 3 Center of Gravity for a Small Satellite General Case. - 2. 4 Kepler Force for a Small Satellite. - 2. 5 Torque about Mass Center General Case. - 2. 6 Potential. - 2. 7 Locked Rotation. - 2. 8 Orbital Period for Locked Rotation. - 2. 9 Spacecraft with Booms. - 2. 10 Microgravity. - Suggested Reading. - Problems. - 3 Libration. - 3. 1 Libration about Position Vector and within Orbital Plane. - 3. 2 Libration about Position Vector and Normal to the Orbital Plane. - 3. 3 Libration about Tangent to Orbit and Normal to the Orbital Plane. - 3. 4 Attitude Change about Tangent and within Orbital Plane. - 3. 5 Attitude Stability. - 3. 6 Libration of the Moon. - Suggested Reading. - Problems. - 4 Stability of Satellite Attitude in a Central Force Field. - 4. 1 Cardan Angles. - 4. 2 Spinning Axisymmetric Satellite. - 4. 3 Arbitrary Satellite in Locked Rotation. - 4. 4 Arbitrary Satellite on Elliptical Orbit in Quasi-Locked Rotation. - Suggested Reading. - Problems. - 5 Torquefree Gyros. - 5. 1 Solution of Euler Equations for Torquefree Gyros. - 5. 2 Phase Plane Representation. - 5. 3 Kinetic Energy Ellipsoid and Poinsot Ellipsoid. - 5. 4 Angular Momentum Ellipsoid. - 5. 5 MacCullagh Ellipsoid. - 5. 6 Velocity and Acceleration of an Arbitrary Point within a Torquefree Gyro. - 5. 7 Stability of Rotation about a Principal Axis for a Rigid Gyro. - 5. 8 Stability of Rotation about a Principal Axis for a Deformable Gyro. - 5. 9 Collinearity Theorems. - Suggested Reading. - Problems. - 6 Torquefree Axisymmetric Gyros. - 6. 1 Angular Velocity Components. - 6. 2 Euler Frequencies. - 6. 3 Velocity and Acceleration of a Point. - 6. 4 The Inertial Force Field. - 6. 5 Changing Inertia Moments. - 6. 6 Capture. - Suggested Reading. - Problems. - 7 Deformable Axisymmetric Gyros. - 7. 1 The Single Solid Body. - 7. 2 The Axisymmetric Solid Body. - 7. 3 Observations. - 7. 4 Floating Coordinates. - 7. 5 Auxiliary Inertia Products and Moments. - 7. 6 Angular Momentum of a Deforming Body. - 7. 7 Kinetic Energy of Rotation of a Deforming Body. - 7. 8 Energy Rates. - 7. 9 Application to a Constrained System with ?z = 0. - 7. 10 Application to a Constrained System with ?u = ?v = 0. - 7. 11 Conclusions. - Suggested Reading. - Problems. - 8 Secular Attitude Drift of a Torquefree Dissipative Axisymmetric Gyro. - 8. 1 Attitude Drift Rate and Attitude Stability. - 8. 2 The Attitude Drift Process. - 8. 3 Circles in the vz-Plane. - 8. 4 Arbitrary Initial and Stable Final State. - 8. 5 Elastic Deformation and Attitude Stability. - 8. 6 Effect of Deformation on Angular Velocities. - 8. 7 Effect of Deformation on Kinetic Energy and Strain Energy. - Suggested Reading. - Problems. - 9 Despin. - 9. 1 Despin by Yo-Yo Masses. - 9. 2 Despin by Boom Extension. - 9. 3 Eccentric Installation. - 9. 4 Configuration Change Terms in Euler Equations. - Suggested Reading. - Problems. - 10 Torque about Body-Fixed Axes of an Axisymmetric Gyro. - 10. 1 Torque Perpendicular to Axis of Symmetry. - 10. 2 Torque about Axis of Symmetry. - Suggested Reading. - Problems. - 11 Rigid Gyrostats. - 11. 1 Angular Momentum and Euler Equations. - 11. 2 Attitude Stability in the Short Run of Torquefree Gyrostat. - 11. 3Torquefree Axisymmetric Gyrostats. - 11. 4 Bearing Friction. - 11. 5 Euler Angles for a Torquefree Axisymmetric Gyrostat. - 11. 6 The Inertial Force Fields. - 11. 7 Spinning Axisymmetric Gyrostat in a Central Force Field. - Suggested Reading. - Problems. - 12 Torquefree Dissipative Axisymmetric Gyrostats. - 12. 1 Near-Rigid Rotors and Platforms. - 12. 2 Secular Attitude Drift for a Torquefree Axisymmetric Gyrostat with Dissipative Platform. - 12. 3 Secular Attitude Drift for a Torquefree Axisymmetric Gyrostat with Dissipative Rotor. - 12. 4 Secular Attitude Drift for a Torquefree Axisymmetric Gyrostat with Dissipative Rotor and Dissipative Platform. - Suggested Reading. - Problems. - Appendix A: Euler Angles. - Appendix B: Euler Parameters. - Appendix C: Cardan Angles. - Appendix D: Engineering Data. - Appendix E: Nomenclature. - Appendix F: Answers to Selected Problems. - Author Index. Language: English