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