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.
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Markellos, V., Roy, A., Perdios, E. et al. A Hill Problem with Oblate Primaries and Effect of Oblateness on Hill Stability of Orbits. Astrophysics and Space Science 278, 295–304 (2001). https://doi.org/10.1023/A:1013191030728
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DOI: https://doi.org/10.1023/A:1013191030728