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

Published online by Cambridge University Press:  12 April 2016

Grzegorz Duliński  and
Andrej J. Maciejewski
Grzegorz Duliński
Affiliation:
Institute of Astronomy, Nicolaus Copernicus University, Chopina 12/18, 87-100 Toruń, Poland
Andrej J. Maciejewski
Affiliation:
Institute of Astronomy, Nicolaus Copernicus University, Chopina 12/18, 87-100 Toruń, Poland

Extract

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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.

Type
Part I - Satellites and Planets
Information
International Astronomical Union Colloquium , Volume 74: Dynamical Trapping and Evolution in the Solar System , 1983 , pp. 27 - 35
Copyright
Copyright © Reidel 1983

References

Arnold, V.I.: 1978, Mathematical Methods in Classical Mechanics, Springer Verlag, New York Google Scholar
Diliński, G. and Maciejewski, A.: 1983, in preparationGoogle Scholar
Kane, T.R. and Marsh, L.E.: 1971, Celes. Mech. 4, pp. 78–91 CrossRefGoogle Scholar
Markeev, A.P.: 1967a, Kosm. Issled. 5, pp. 365–376 Google Scholar
Markeev, A.P.: 1967b, Kosm. Issled. 5, pp. 530–540 Google Scholar
Markeev, A.P.: 1978, Libration Points in Celestial Mechanics and Astrodynamics, Nauka, Moscow (in Russian)Google Scholar
Markley, F.L.: 1978, in Wertz, J.R. (ed.), D. Reidel Publ. Company, ASSL Vol. 73 Google Scholar