Abstract
For the general three-body problem we show the existence and describe regions in physical space and configuration space where motion cannot occur. The description of these regions turns out to be most similar to the Hill regions of the circular restricted problem of three bodies. These regions depend upon the constants of energy and angular momentum.
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This research partially supported by N.S.F. Grant GP32116.
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Marchal, C., Saari, D.G. Hill regions for the general three-body problem. Celestial Mechanics 12, 115–129 (1975). https://doi.org/10.1007/BF01230206
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DOI: https://doi.org/10.1007/BF01230206