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Two notes on the copenhagen problem

1. Asymptotic branches from L4

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Abstract

Poincaré's method of consequents is applied to the computation of asymptotic branches from the unstable equilibrium L4 in the restricted problem of three bodies with equal masses, known as the ‘Copenhagen Problem’. Because of looping in the orbits, the ‘Poincaré mapping’ in this problem is not continuous, and the structure of the branches is more complicated than that for simpler dynamical systems for which computations have appeared.

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Reference

  • Poincaré, H.: 1957, Les Méthodes Nouvelles de la Mécanique Céleste. Dover Publications, New York. Volume 3, page 176.

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Authors and Affiliations

  1. Department of Mathematics, North Carolina State University, North Carolina, USA

    J. M. A. Danby

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  1. J. M. A. Danby
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Danby, J.M.A. Two notes on the copenhagen problem. Celestial Mechanics 33, 251–260 (1984). https://doi.org/10.1007/BF01230507

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  • DOI: https://doi.org/10.1007/BF01230507

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