Gravitational movements of two arbitrary solid bodies

Details Gravitational movements of two arbitrary solid bodies Gravitational movements of two arbitrary solid bodies

Jul 1978

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1978crasm.287..167k&link_type=abstract

Academie des Sciences (Paris), Comptes Rendus, Serie A - Sciences Mathematiques, vol. 287, no. 3, July 17, 1978, p. 167-169. In

Other

Celestial Mechanics, Two Body Problem, Gravitational Effects, Hamiltonian Functions, Symmetry, Trajectory Analysis

Scientific paper

The movement of two unvarying solid bodies isolated in space is analyzed, and 10 types of solutions are found in which the trajectories of the centers of mass of the two bodies are planar. In five of these cases the motion is completely integrable. Six of the cases are determined by one or another symmetry, while the other four, all of which are integrable are not determined by a symmetry or symmetries.

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