Asymmetric periodic solutions of the averaged Hill problem with allowance for a planet’s oblateness

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...

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Bibliographic Details
Published in:Astronomy letters 2000-05, Vol.26 (5), p.331-337
Main Authors: Vashkov'yak, M A, Teslenko, N M
Format: Article
Language:English
Subjects:
Allowances
Approximation
Astronomy
Asymmetry
Mathematical analysis
Mathematical models
Moons
Planes
Planets
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Summary: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.
ISSN:1063-7737
1562-6873
DOI:10.1134/1.20399