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Titlebook: Long Term Evolution of Planetary Systems; Proceedings of the A R. Dvorak,J. Henrard Conference proceedings 1988 Kluwer Academic Publishers

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书目名称Long Term Evolution of Planetary Systems
副标题Proceedings of the A
编辑R. Dvorak,J. Henrard
视频video
图书封面Titlebook: Long Term Evolution of Planetary Systems; Proceedings of the A R. Dvorak,J. Henrard Conference proceedings 1988 Kluwer Academic Publishers
出版日期Conference proceedings 1988
关键词Celestial mechanics; asteroid; dynamics; gravitation; gravity; mechanics; planet; stability
版次1
doihttps://doi.org/10.1007/978-94-009-2285-3
isbn_softcover978-94-010-7525-1
isbn_ebook978-94-009-2285-3
copyrightKluwer Academic Publishers 1988
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Overview: 978-94-010-7525-1978-94-009-2285-3
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Normal Co-Ordinates and Asymptotic Expansions in Resonance Cases in Celestial Mechanics the mutual perturbations in a planetary or satellite system, entirely in periodic terms, can be carried out after the use of a transformation of the variables which brings the quadratic terms of the Hamiltonian to a suitable normal form. A method for finding such a transformation is described.
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A Small Example of Arnold Diffusionees of freedom..This diffusion is an extremely slow phenomenon very difficult to analyse and we have tried to obtain some numerical examples in a system as simple as possible..The direct method is hopeless but the reverse method seems to be successful.
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Integration Theory for the Restricted Three-Body-Problem with Application to P-Type Orbitsndent of the Jacobian integral. As it has been demonstrated in some work by G. Cantopoulos, 1967 (Ref. 1) a constant of motion can be derived by expressing the angular momentum in rotating coordinates as a function of the coordinates.
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Alternative Representation of Planetary PerturbationsAn attempt is made to find a representation of planetary perturbations which does not require a Fourier expansion. For the planetary type three body problem a sequence of canonical transformations is given based on Landen transformations coupled with a rescaling of the time. The expansion is carried out to the order 2 in the Hamiltonian.
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