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The geometry of the roche coordinates and zero-velocity curves in the photogravitational three-body problem

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Abstract

The aim of the paper is to study the geometry of the Roche curvilinear coordinates (ξ, η, ζ) in the photogravitational circular restricted three-body problem, with varying radiation pressure, and special attention is given to the geometry of zero-velocity curves specified by theξ coordinate. The radiation pressure exerted by the primary bodies on the infinitesimal third body is considered the same (q 1 =q 2), and the primaries are taken to have equal masses (m 1 =m 2). The full range of values of the common radiation factor is explored, from the valueq 1 =q 2 = 1 (the gravitational three-body problem) down toq 1 =q 2 ≅ 0. It is found that radiation has a strong influence on the geometry of the Roche coordinates and the zero-velocity curves.

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Authors and Affiliations

  1. Department of Engineering Science, Division of Applied Mathematics and Mechanics, University of Patras, Greece

    K. E. Papadakis

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  1. K. E. Papadakis
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Papadakis, K.E. The geometry of the roche coordinates and zero-velocity curves in the photogravitational three-body problem. Astrophys Space Sci 232, 337–354 (1995). https://doi.org/10.1007/BF00658304

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  • DOI: https://doi.org/10.1007/BF00658304

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