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A photogravitational Hill problem and radiation effects on Hill stability of orbits. (English) Zbl 0959.70006

Summary: We introduce a photogravitational version of Hill’s problem to include the effect of radiation of primaries, and discuss its equilibrium points and zero velocity curves. As a first application, we use this model to study the Hill stability of orbits around a small primary. The estimates obtained for the maximum distance of Hill stable orbits are compared to the predicted maximum sizes of accretion disks in binar stars, according to recent theories based on periodic orbits as streamlines of the disks.

MSC:

70F07 Three-body problems
78A40 Waves and radiation in optics and electromagnetic theory
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