A Hill Problem with Oblate Primaries and Effect of Oblateness on Hill Stability of Orbits |
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| Authors: | VV Markellos AE Roy EA Perdios CN Douskos |
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| Institution: | (1) Department of Physics and Astronomy, University of Glasgow, U.K;(2) Department of Engineering Sciences, University of Patras, Greece |
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| Abstract: | We introduce a new version of Hill's problem to include the effect of oblateness of the primaries, and briefly discuss its
equilibrium points and zero velocity curves. As a first application we use this to study Hill stability of direct orbits around
the small primary. This can be employed to study the stability of a planet's moon perturbed by an oblate Sun, or of a star's
planet perturbed by a distant disk-shaped galaxy. Oblateness of the `Sun' is found to decrese the maximum distance of Hill
stable direct `moon' orbits.
This revised version was published online in July 2006 with corrections to the Cover Date. |
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