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Hill stability and distance curves for the general three-body problem

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Abstract

The notion of Hill stability is extended from the circular restricted 3-body problem to the general three-body problem; it is even extended to systems of positive energy and the Hill's curves with their corresponding forbidden zones are generalized.

Hill stable systems of negative energy present a hierarchy: they have a close binary that can be neither approached nor disrupted by the third body. This phenomenon becomes particularly clear with the distance curves presentation.

The three limiting cases, restricted, planetary and lunar are analysed as well as some real stellar cases.

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Authors and Affiliations

  1. O. N. E. R. A., Châtillon, France

    Christian Marchal

  2. Dept. of Theoretical Mechanics, University of Thessaloniki, Greece

    George Bozis

Authors
  1. Christian Marchal
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  2. George Bozis
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Marchal, C., Bozis, G. Hill stability and distance curves for the general three-body problem. Celestial Mechanics 26, 311–333 (1982). https://doi.org/10.1007/BF01230725

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  • DOI: https://doi.org/10.1007/BF01230725

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