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Introductory Attitude Dynamics
Springer-Verlag New York Inc.
978-0-387-96726-4 (ISBN)
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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.- 11.3 Torquefree 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.
Verlagsort | New York, NY |
---|---|
Sprache | englisch |
Themenwelt | Naturwissenschaften |
Technik ► Fahrzeugbau / Schiffbau | |
Technik ► Maschinenbau | |
ISBN-10 | 0-387-96726-5 / 0387967265 |
ISBN-13 | 978-0-387-96726-4 / 9780387967264 |
Zustand | Neuware |
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