Asymmetric Periodic Solutions of the Averaged Hill Problem with Allowance for a Planet's Oblateness

Details Asymmetric Periodic Solutions of the Averaged Hill Problem with Allowance for a Planet's Oblateness Asymmetric Periodic Solutions of the Averaged Hill Problem with Allowance for a Planet's Oblateness

May 2000

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=2000astl...26..331v&link_type=abstract

Astronomy Letters, vol. 26, p. 331-337 (2000)

Astronomy and Astrophysics

Astronomy

1

Scientific paper

We consider asymmetric periodic solutions of the double-averaged Hill problem by taking into account oblateness of the central planet. They are generated by steady-state solutions, which are stable in the linear approximation and correspond to satellite orbits orthogonal to the line of intersection of the planet's equatorial plane with the orbital plane of a disturbing point. For two model systems [(Sun + Moon)-Earth-satellite] and [Sun-Uranus-satellite], these periodic solutions are numerically continued from a small vicinity of the equilibrium position. The results are illustrated by projecting the solutions onto the (pericenter argument-eccentricity) and (longitude-inclination) planes.

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