The Geometry of the Roche Coordinates and Zero-Velocity Curves in the Photogravitational Three-Body Problem

Astronomy and Astrophysics – Astrophysics

Scientific paper

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Scientific paper

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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