Abstract
This chapter introduces the concept of a Hamiltonian system of ordinary differential equations, sets forth basic notation, reviews some basic facts about the solutions of differential equations, and gives several examples in detail. The primary example is the gravitational N-body problem, which is given a sizable introduction.
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© 1992 Springer Science+Business Media New York
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Meyer, K.R., Hall, G.R. (1992). Hamiltonian Differential Equations and the N-Body Problem. In: Introduction to Hamiltonian Dynamical Systems and the N-Body Problem. Applied Mathematical Sciences, vol 90. Springer, New York, NY. https://doi.org/10.1007/978-1-4757-4073-8_1
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DOI: https://doi.org/10.1007/978-1-4757-4073-8_1
Publisher Name: Springer, New York, NY
Print ISBN: 978-1-4757-4075-2
Online ISBN: 978-1-4757-4073-8
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