Analytical Mechanics of Space Systems
By Hanspeter Schaub, John L. Junkins. 2003
1,543 citations recorded by the source corpus.
Analytical Mechanics of Space Systems, Third Edition provides a comprehensive treatment of dynamics of space systems, starting with the fundamentals and covering topics from basic kinematics and dynamics to more advanced celestial mechanics. The reader is guided through the various derivations and proofs in a tutorial way and is led to understand the principles underlying the equations at issue, and shown how to apply them to various dynamical systems. Part I covers analytical treatment of topics such as basic dynamic principles up to advanced energy concepts. Special attention is paid to the 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[registered], Mathematica[registered], Python and C-Code toolboxes are provided for the rigid body kinematics routines discussed in chapter 3, and the basic orbital 2-body orbital mechanics routines discussed in chapter 9. The third edition streamlines the presentation of material 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; and, new Appendix I describes how to implement Kalman-Filter estimating MRP coordinates in a non-singular fashion.
Subfields: Aerospace Engineering, Control and Systems Engineering
View Paper: https://www.semanticscholar.org/paper/c83ffaa9699f7abda5806befd15318a5055c5b88
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Citations in the corpus
- Distributed finite-time attitude containment control for multiple rigid bodies (2010, neutral): “…of n followers and m leaders, the attitude of each rigid body is represented by Modified Rodriguez Parameters (MRPs) given by σi = ei tan 8i 4 , i = 1, . . . , n + m, where ei and 8i are the principle axis and the principle angle of the attitude of the ith rigid body (Schaub & Junkins, 2003).”
- Nonlinear Kalman Filtering for Improved Angles-Only Navigation Using Relative Orbital Elements (2017, methodology): “These mean absolute orbital element sets can then be converted to corresponding osculating sets through the mean-to-osculating transformation offered by Schaub and Junkins ([29] appendix F) and then used to compute the absolute position and velocity of the servicer and target.”