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Spacecraft Formation Flying by Louis Breger, Jonathan How, Pini Gurfil, Srinivas Rao Vadali, Kyle Alfriend

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Chapter 3

The Basics of Analytical Mechanics, Optimization, Control and Estimation

Publisher Summary

This chapter reviews the basics of analytical mechanics as applied to orbit theory, optimization, control, and estimation. The chapter starts by presenting some notions in Lagrangian and Hamiltonian mechanics, including canonical transformations. Lagrangian and Hamiltonian mechanics are two main approaches to mechanics that constitute a generalization of the classical Newtonian mechanics. The rationale behind the Lagrangian and Hamiltonian formalisms is related to variational principles. Hamiltonian and Lagrangian mechanics is discussed in the chapter for better understanding of the perturbation modeling, relative motion modeling, mean-to-osculating ...

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