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Orientation of a Satellite Located at the Libration Point in the Restricted Three-Body Problem

  • Grzegorz Duliński (a1) and Andrej J. Maciejewski (a1)

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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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Copyright

References

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Arnold, V.I.: 1978, Mathematical Methods in Classical Mechanics, Springer Verlag, New York
Diliński, G. and Maciejewski, A.: 1983, in preparation
Kane, T.R. and Marsh, L.E.: 1971, Celes. Mech. 4, pp. 7891
Markeev, A.P.: 1967a, Kosm. Issled. 5, pp. 365376
Markeev, A.P.: 1967b, Kosm. Issled. 5, pp. 530540
Markeev, A.P.: 1978, Libration Points in Celestial Mechanics and Astrodynamics, Nauka, Moscow (in Russian)
Markley, F.L.: 1978, in Wertz, J.R. (ed.), D. Reidel Publ. Company, ASSL Vol. 73

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