Abstract
We introduce a photogravitational version of Hill's problem to include the effect of radiation of the primaries, and discuss its equilibrium points and zero velocity curves. As a first application we use this model to study Hill stability of orbits around the small primary. The estimates obtained for the maximum distance of Hill stable orbits are compared to the predicted maximum sizes of accretion disks in binary stars according to recent theories based on periodic orbits as streamlines of the disks.
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Markellos, V., Roy, A., Velgakis, M. et al. A Photogravitational Hill Problem and Radiation Effects on Hill Stability of Orbits. Astrophysics and Space Science 271, 293–301 (2000). https://doi.org/10.1023/A:1002487228086
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DOI: https://doi.org/10.1023/A:1002487228086