Periodic orbits near infinity in the restricted N-body problem

Details Periodic orbits near infinity in the restricted N-body problem Periodic orbits near infinity in the restricted N-body problem

Jan 1981

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1981cemec..23...69m&link_type=abstract

Celestial Mechanics, vol. 23, Jan. 1981, p. 69-81.

Physics

4

Circular Orbits, Elliptical Orbits, Kepler Laws, Many Body Problem, Periodic Variations, Equations Of Motion, Hamiltonian Functions, Motion Stability, Orbital Mechanics

Scientific paper

This paper shows that there exist two families of periodic solutions of the restricted N-body problem which are close to large circular orbits of the Kepler problem. These solutions are shown to be of general elliptic type and hence are stable. If the restricted problem admits a symmetry, then there are symmetric periodic solutions which are close to large elliptic orbits of the Kepler problem.

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