Periodic orbits in a three-dimensional potential. II Bifurcations

Details Periodic orbits in a three-dimensional potential. II Bifurcations Periodic orbits in a three-dimensional potential. II Bifurcations

Jul 1984

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1984cemec..33..217c&link_type=abstract

Celestial Mechanics (ISSN 0008-8714), vol. 33, July 1984, p. 217-227. In French.

Mathematics

1

Branching (Mathematics), Celestial Mechanics, Orbit Calculation, Potential Theory, Approximation, Eigenvalues, Poincare Problem

Scientific paper

In a previous paper, Hayli et al. (1983), two families of periodic orbits in a given three-dimensional potential were described. A property of the characteristic curves of the two families was found empirically. This property is demonstrated in the present paper by writing explicitely the Poincaré mapping and by giving an approximation directly comparable with the numerical results obtained in Hayli et al. (1983).

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