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; orientation parameters; illustrations of key concepts with on-orbit flight data; and typical engineering hardware. 1986 edition.
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Comprehensive coverage includes environmental torques, energy dissipation, motion equations for four archetypical systems, orientation parameters, illustrations of key concepts with on-orbit flight data, and typical engineering hardware. 1986 edition.
Chapter 1Introduction1Chapter 2Rotational Kinematics62.1Reference Frames and Rotations62.2Angular Displacement Parameters152.3Angular Velocity222.4Comments on Parameter Alternatives292.5Problems31Chapter 3Attitude Motion Equations393.1Motion Equations for a Point Mass, P403.2Motion Equations for a System of Point Masses, [Sigma]P[subscript n]423.3Motion Equations for a Rigid Body, R553.4A System with Damping, R + P613.5A Dual-Spin System, R + W653.6A Simple Multi-Rigid-Body System, R[subscript 1] + R[subscript 2]703.7Dynamics of a System of Rigid Bodies763.8Problems83Chapter 4Attitude Dynamics of a Rigid Body934.1Basic Motion Equations934.2Torque-Free Motion; R Inertially Axisymmetrical964.3Torque-Free Motion; R Tri-inertial1044.4Stability of Motion for R1144.5Motion of a Rigid Body Under Torque1244.6Problems129Chapter 5Effect of Internal Energy Dissipation on the Directional Stability of Spinning Bodies1395.1Quasi-Rigid Body with an Energy Sink, L1405.2Rigid Body with a Point Mass Damper, R + P1465.3Problems152Chapter 6Directional Stability of Multispin Vehicles1566.1The R + W Gyrostat1566.2Gyrostat with Nonspinning Carrier1616.3The Zero Momentum Gyrostat1646.4The General Case1656.5System of Coaxial Wheels1786.6Problems184Chapter 7Effect of Internal Energy Dissipation on the Directional Stability of Gyrostats1927.1Energy Sink Analyses1937.2Gyrostats with Discrete Dampers2177.3Problems225Chapter 8Spacecraft Torques2328.1Gravitational Torque2338.2Aerodynamic Torque2488.3Radiation Torques2608.4Other Environmental Torques2648.5Nonenvironmental Torques2698.6Closing Remarks2718.7Problems272Chapter 9Gravitational Stabilization2819.1Context2829.2Equilibria for a Rigid Body in a Circular Orbit2939.3Design of Gravitationally Stabilized Satellites3139.4Flight Experience3359.5Problems346Chapter 10Spin Stabilization in Orbit35410.1Spinning Rigid Body in Orbit35610.2Design of Spin-Stabilized Satellites38110.3Long-Term Effects of Environmental Torques, and Flight Data40010.4Problems416Chapter 11Dual-Stabilization in Orbit: Gyrostats and Bias Momentum Satellites42311.1The Gyrostat in Orbit42411.2Gyrostats with External Rotors44411.3Bias Momentum Satellites45511.4Problems470Appendix AElements of Stability Theory480A.1Stability Definitions481A.2Stability of the Origin492A.3The Linear Approximation493A.4Nonlinear Inferences from Infinitesimal Stability Properties502A.5Liapunov's Method504A.6Stability of Linear Stationary Mechanical Systems510A.7Stability Ideas Specialized to Attitude Dynamics520Appendix BVectrices522B.1Remarks on Terminology523B.2Vectrices523B.3Several Reference Frames527B.4Kinematics of Vectrices530B.5Derivative with Respect to a Vector532Appendix CList of Symbols535C.1Lowercase Symbols535C.2Uppercase Symbols536C.3Lowercase Greek Symbols538C.4Uppercase Greek Symbols539C.5Other Notational Conventions539References541Errata559Index565
