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Resonance in the Restricted Problem of Three Bodies With Short-Period Perturbations in the Elliptic Case
Published online by Cambridge University Press: 12 April 2016
Abstract
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This is a generalization of the paper by Bhatnagar and Beena Gupta ‘Resonance in the restricted problem of three bodies with short-periodic perturbations’. The motion of an asteroid moving in the gravitational field of Jupiter is considered. In the original paper it was assumed that Jupiter is moving in a circular orbit around the Sun. In the present paper we consider the orbit to be elliptic. The series occurring in the problem are expanded in powers of a small parameter ε, which represents the ratio of the mass of Jupiter to that of the Sun. The perturbations in the osculating elements are obtained up to 0(ε).
- Type
- Part V. Gravitational Problem of three or more bodies
- Information
- Copyright
- Copyright © Reidel 1978
References
Brouwer, D. and Glemence, G.M.: 1961, Methods of Celestial Mechanics, Academic Press Inc., New York, pp. 582–84.Google Scholar
Giacaglia, G.E.O.: 1969, ‘Resonance in the Restricted Problems of Three Bodies’, Astron. J.
74, No. 10, H-1254–61.CrossRefGoogle Scholar
Bhatnagar, K.B. and Beena, Gupta: ‘Resonance in the Restricted Problem of Three Bodies with Short-Periodic Perturbations’, to appear in Porc. Nation. Sai. Acad. India.Google Scholar
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