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Redundant variables for ‘global’ regularization of the three-body problem

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Abstract

It has been shown (Heggie, 1974) that the equations of motion for the three-body problem may be cast into a form which is regular for collisions betweenany pair of bodies. The method proceeds by two stages, namely

  1. (i)

    the introduction of redundant variables

  2. (ii)

    the application of the KS-transformation.

The present contribution gives a different treatment of the first of these stages, and relates the redundant variables to those introduced by Broucke and Lass (1973).

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  1. Douglas C. Heggie

    Present address: Applied Mathematics, King's Buildings, Mayfield Road, EH9 3JP, Edinburgh, Scotland

Authors and Affiliations

  1. Trinity College, Cambridge, UK

    Douglas C. Heggie

  2. Institute of Astronomy, University of Cambridge, UK

    Douglas C. Heggie

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  1. Douglas C. Heggie
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Heggie, D.C. Redundant variables for ‘global’ regularization of the three-body problem. Celestial Mechanics 14, 69–71 (1976). https://doi.org/10.1007/BF01247132

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  • DOI: https://doi.org/10.1007/BF01247132

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