Abstract
In this paper the initial results of an investigation of the motion of a rigid body located at the libration point in the planar, restricted three-body problem are given. This problem was analyzed in part by Kane and Marsh (1971), Markeev (1967a,b). However the present investigation is formulated in terms of hamiltonian mechanics. The final results will by used to study nonlinear effects connected with the gravitational influence of the “second” central body.
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References
Arnold, V.I.: 1978, Mathematical Methods in Classical Mechanics, Springer Verlag, New York
Dilinski, G. and Maciejewski, A.: 1983, in preparation
Kane, T.R. and Marsh, L.E.: 1971, Celes. Mech. 4, pp. 78–91
Markeev, A.P.: 1967a, Kosm. Issled. 5, pp. 365–376
Markeev, A.P.: 1967b, Kosm. Issled. 5, pp. 530–540
Markeev, A.P.: 1978, Libration Points in Celestial Mechanics and Astrodynamics, Nauka, Moscow (in Russian)
Markley, F.L.: 1978, in J.R. Wertz (ed.), D. Reidel Publ. Company, ASSL Vol. 73
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© 1983 D. Reidel Publishing Company, Dordrecht, Holland
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Duliński, G., Maciejewski, A.J. (1983). Orientation of a Satellite Located at the Libration Point in the Restricted Three-Body Problem. In: Markellos, V.V., Kozai, Y. (eds) Dynamical Trapping and Evolution in the Solar System. Astrophysics and Space Science Library, vol 106. Springer, Dordrecht. https://doi.org/10.1007/978-94-009-7214-8_3
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DOI: https://doi.org/10.1007/978-94-009-7214-8_3
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