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Two-body motion under the inverse square central force and equivalent geodesic flows

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Abstract

In this paper the fixed energy surfaces for the two-body problem for parabolic and, in particular, hyperbolic motion are completely, determined by utilizing an earlier work of J. Moser. The characterization of these fixed energy manifolds yields the explicit solutions to the above problems in an elementary way for arbitrary dimensions.

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Authors and Affiliations

  1. Courant Institute of mathematical Sciences, New York University, New York

    E. A. Belbruno

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  1. E. A. Belbruno
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Belbruno, E.A. Two-body motion under the inverse square central force and equivalent geodesic flows. Celestial Mechanics 15, 467–476 (1977). https://doi.org/10.1007/BF01228612

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