Periodic orbits of the planetary type and their stability.

Details Periodic orbits of the planetary type and their stability. Periodic orbits of the planetary type and their stability.

Mar 1987

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1987cemec..43..371h&link_type=abstract

Celestial Mechanics, Volume 43, Issue 1-4, pp. 371-390

Physics

Four-Body Problem:Periodic Orbits, Periodic Orbits:Four-Body Problem, Periodic Orbits:Planetary Systems, Periodic Orbits:Three-Body Problem, Planetary Systems:Periodic Orbits, Three-Body Problem:Periodic Orbits, Three-Body Problem:Restricted

Scientific paper

A review is presented of periodic orbits of the planetary type in the general three-body problem and fourbody problem and the restricted circular and elliptic tnreebody problem. These correspond to planetary systems with one Sun and two or three planets (or a planet and its satellites), the motion of asteoids and also planetary systems with two Suns. The factors which affect the stability of the above configurations are studied in connection with resonance or additional perturbations. Finally, the correspondence of the periodic orbits in the restricted three-body problem with the fixed points obtained by the method of averaging or the method of surface of section is indicated.

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