Astronomy and Astrophysics – Astronomy
Scientific paper
Aug 1980
adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1980mvsfa..21...60s&link_type=abstract
Moskovskii Universitet, Vestnik, Seriia III - Fizika, Astronomiia, vol. 21, July-Aug. 1980, p. 60-66. In Russian.
Astronomy and Astrophysics
Astronomy
Celestial Mechanics, Four Body Problem, Euler-Lagrange Equation, Librational Motion, Long Term Effects, Three Body Problem
Scientific paper
In the present paper, an averaging on the basis of Fatou's (1931) scheme is obtained within the framework of a version of the doubly restricted problem of four bodies. A proof is obtained for the existence of particular solutions that are analogous to the Eulerian and Lagrangian solutions. The solutions are applied to an analysis of first-order secular disturbances in the positions of libration points, caused by the influence of a body whose attraction is neglected in the classical model of the restricted three-body problem. These disturbances are shown to lead to continuous displacements of the libration points.
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