Abstract
In this chapter we study the perturbations of the Kepler problem, i.e., the motion of a particle with mass m and Hamiltonian
where \({{H}_{p}}(\vec{Q},\vec{P})\) the perturbation Hamiltonian and E a dimension-less, “small” parameter. The canonical variables \(\vec{Q},\vec{P}\) differ from the previously defined, \(\vec{q},\vec{p}\) and \(\vec{x},\vec{y}\) by resealing factors; see (12.1.3) and Remark 12.2 below.
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© 2003 Springer Basel AG
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Cordani, B. (2003). Perturbations of the Kepler Problem. In: The Kepler Problem. Progress in Mathematical Physics, vol 29. Birkhäuser, Basel. https://doi.org/10.1007/978-3-0348-8051-0_12
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DOI: https://doi.org/10.1007/978-3-0348-8051-0_12
Publisher Name: Birkhäuser, Basel
Print ISBN: 978-3-0348-9421-0
Online ISBN: 978-3-0348-8051-0
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