Elliptic Hill problem - Families of periodic orbits

Details Elliptic Hill problem - Families of periodic orbits Elliptic Hill problem - Families of periodic orbits

May 1981

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1981a%26a....98..401i&link_type=abstract

Astronomy and Astrophysics, vol. 98, no. 2, May 1981, p. 401-405.

Astronomy and Astrophysics

Astrophysics

3

Eccentric Orbits, Elliptical Orbits, Hill Method, Orbital Mechanics, Periodic Variations, Equations Of Motion, Kepler Laws, Orbital Elements, Three Body Problem

Scientific paper

Three families of periodic orbits from the elliptic Hill problem are presented. These families are derived by continuation of periodic orbits of the circular Hill problem with period equal to 2k(pi), with respect to the eccentricity of the orbit of the two primaries. Attention is called to the fact that periodic orbits of the circular Hill problem with period equal to a 2k(pi) - where k is any integer - can be continued with respect to the eccentricity of the orbit of the body P sub 1.

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