Effect of Perturbations in Coriolis and Centrifugal Forces on the Nonlinear Stability of Equilibrium Point in Robe's Restricted Circular Three-Body Problem

Autor: P. P. Hallan, Khundrakpam Binod Mangang
Jazyk: angličtina
Rok vydání: 2008
Předmět:
Zdroj: Advances in Astronomy, Vol 2008 (2008)
Druh dokumentu: article
ISSN: 1687-7969
1687-7977
DOI: 10.1155/2008/425412
Popis: The effect of perturbations in Coriolis and cetrifugal forces on the nonlinear stability of the equilibrium point of the Robe's (1977) restricted circular three-body problem has been studied when the density parameter K is zero. By applying Kolmogorov-Arnold-Moser (KAM) theory, it has been found that the equilibrium point is stable for all mass ratios μ in the range of linear stability 8/9+(2/3)((43/25)ϵ1−(10/3)ϵ)
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