Periodic orbits of the first sort in the restricted problem of three bodies with an ellipsoidal primary

Details Periodic orbits of the first sort in the restricted problem of three bodies with an ellipsoidal primary Periodic orbits of the first sort in the restricted problem of three bodies with an ellipsoidal primary

Sep 1984

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1984acasn..25...64d&link_type=abstract

(Acta Astronomica Sinica, vol. 25, no. 1, 1984, p. 64-70) Chinese Astronomy and Astrophysics (ISSN 0275-1062), vol. 8, Sept. 198

Astronomy and Astrophysics

Astrophysics

Binary Stars, Orbital Mechanics, Stellar Envelopes, Stellar Motions, Stellar Structure, Three Body Problem, Celestial Mechanics, Ellipsoids, Existence Theorems, Mass Ratios, Periodic Functions, Ring Structures

Scientific paper

The existence of periodic orbits of the first sort in the restricted problem of three bodies in which one of the main bodies is an ellipsoid is discussed. The circular orbits in the two-body problem are taken as generating orbits and are analytically continued into a set of symmetric, periodic orbits around the ellipsoidal body. The initial conditions for these periodic orbits differ from those in the case where oblatenesses are neglected by quantities of the order of the perturbations due to the figure. Therefore, when the oblatenesses are appreciable, the shape must be taken into account in discussing the periodic orbits, especially for those orbits that are close to the main body.

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