Analytical Mechanics of Space Systems, Fourth Edition (AIAA Education Series)

Analytical Mechanics of Space Systems, Fourth Edition provides comprehensive treatment of dynamics of space systems, starting with the fundamentals and covering topics from basic kinematics and dynamics to more advanced celestial mechanics. Taking a tutorial approach, the text guides the reader through the various derivations and proofs to explain the principles underlying the equations at issue, and shows how to apply them to various dynamical systems. Part I covers analytical treatment of basic dynamic principles through advanced energy concepts, including use of rotating reference frames that often occur in aerospace systems. Part II covers basic celestial mechanics, treating the two-body problem, restricted three-body problem, gravity field modeling, perturbation methods, spacecraft formation flying, and orbit transfers. MATLAB®, Mathematica®, Python®, and C-Code toolboxes are provided for rigid body kinematics routines and basic orbital 2-body orbital mechanics routines. Table of Contents PART 1 BASIC MECHANICS Chapter 1 Particle Kinematics Chapter 2 Newtonian Mechanics Chapter 3 Rigid Body Kinematics Chapter 4 Eulerian Mechanics Chapter 5 Generalized Methods of Analytical Dynamics Chapter 6 Variational Methods in Analytical Dynamics Chapter 7 Hamilton’s Generalized Formulations of Analytical Dynamics Chapter 8 Nonlinear Spacecraft Stability and Control PART 2 CELESTIAL MECHANICS Chapter 9 Classical Two-Body Problem Chapter 10 Restricted Three-Body Problem Chapter 11 Gravitational Potential Field Models Chapter 12 Perturbation Methods Chapter 13 Transfer Orbits Chapter 14 Spacecraft Formation Flying Appendix A Transport Theorem Derivation Using Linear Algebra Appendix B Various Euler Angle Transformations Appendix C MRP Identity Proof Appendix D Conic Section Transformations Appendix E Numerical Subroutines Library Appendix F First-Order Mapping Between Mean and Osculating Orbit Elements Appendix G Direct Linear Mapping Between Cartesian Hill Frame Coordinates and Orbit Element Differences Appendix H Hamel Coefficients for the Rotational Motion of a Rigid Body Appendix I MRP Kalman Filter Index Supporting Materials