Mathematics
Scientific paper
May 1989
adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1989kosis..27..333t&link_type=abstract
Kosmicheskie Issledovaniia (ISSN 0023-4206), vol. 27, May-June 1989, p. 333-338. In Russian.
Mathematics
Astrodynamics, Branching (Mathematics), Frequency Response, Spacecraft Motion, Hamiltonian Functions, Inequalities, Partial Differential Equations, Potential Theory
Scientific paper
Bifurcation diagrams of motion integrals are constructed via the separation of variables in the Barrar problem. Particular attention is given to the motion of a satellite in the gravitational field of an axisymmetric planet with a Barrar potential. The dependence of the frequencies of the conditionally periodic motion on the first-integral constants is studied. The two-frequency nature of the proposed problem and the three-frequency nature of the initial problem are confirmed without assuming closeness to the Kepler problem.
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