Doubly Symmetric Periodic Solutions to the Three-Dimensional Restricted Problem

Details Doubly Symmetric Periodic Solutions to the Three-Dimensional Restricted Problem Doubly Symmetric Periodic Solutions to the Three-Dimensional Restricted Problem

Nov 1997

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1997phdt........18h&link_type=abstract

Thesis (PHD). UNIVERSITY OF CINCINNATI , Source DAI-B 58/05, p. 2454, Nov 1997, 60 pages.

Physics

Three Body Problem, Hamiltonian Systems, Poincare Elements

Scientific paper

The existence of two new classes of periodic solutions to the three dimensional restricted three-body problem is shown. These solutions are independent of the mass ratio of the primaries, symmetric with respect to the x-y and x-z planes, and near to lying in a sphere. These solutions are not perturbations of planar solutions, but rather, are of large inclination with respect to the invariant plane determined by the primaries.

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