Abstract
In 1886, in his study of stability of the lunar orbit, Hill (Acta Math. VIII(1):1–36, 1886) published a formula which expresses the characteristic polynomial of the monodromy matrix for a second order time periodic equation in terms of the determinant of a certain infinite matrix. Here we present several versions of this formula and give its applications in the problem of dynamical stability.
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© 2009 Springer-Verlag Berlin Heidelberg
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Treschev, D., Zubelevich, O. (2009). Hill’s Formula. In: Introduction to the Perturbation Theory of Hamiltonian Systems. Springer Monographs in Mathematics. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-03028-4_8
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DOI: https://doi.org/10.1007/978-3-642-03028-4_8
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Publisher Name: Springer, Berlin, Heidelberg
Print ISBN: 978-3-642-03027-7
Online ISBN: 978-3-642-03028-4
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