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On the Hill stability in the general problem of three finite bodies |
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| Authors: | L. G. Luk’yanov G. I. Shirmin |
| Affiliation: | (1) Sternberg Astronomical Institute, Universitetskii pr. 13, Moscow, 119992, Russia |
| Abstract: | We construct zero-kinetic-energy surfaces and determine the regions where motion is possible. We show that for bodies with finite sizes, there are bounded regions of space within which a three-body system never breaks up. The Hill stability criterion is established. |
| Keywords: | celestial mechanics three-body problem zero-velocity surface zero kinetic energy surface Hill stability |
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