Abstract
The theory of regularization aims to reduce singular differential equations to regular differential equations. Regularizing transformations are often used in Celestial Mechanics, when two or more bodies approach a collision [171]. Using Hamiltonian formalism we review the most elementary regularizing methods, known as Levi-Civita, Kustaanheimo-Stiefel and Birkhoff transformations [166, 167].
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© 2010 Praxis Publishing Ltd, Chichester, UK
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Celletti, A. (2010). Regularization theory. In: Stability and Chaos in Celestial Mechanics. Springer Praxis Books. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-540-85146-2_10
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DOI: https://doi.org/10.1007/978-3-540-85146-2_10
Publisher Name: Springer, Berlin, Heidelberg
Print ISBN: 978-3-540-85145-5
Online ISBN: 978-3-540-85146-2
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