Analytical Mechanics of Space Systems (Aiaa Education)

Analytical Mechanics of Space Systems, Third 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. The third edition streamlines presentation by adding additional examples, homework problems, and illustrations. It includes expanded discussion on Numerically integrating MRPs and using heading measurements and evaluating a three-dimensional orientation Numerically integrating the complex VSCMG differential equations of motion The Lyapunov function and stability definitions Implementing a Rate-based attitude servo control solution, and integrating an integral feedback component with a reaction-wheel-based attitude control, featuring new examples Developing acceleration-based VSCMG steering laws for three-axis attitude control developments New Appendix I describes how to implement Kalman-Filter estimating MRP coordinates in a nonsingular fashion