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arXiv · 1110.4764

`Similar' coordinate systems and the Roche geometry. Application

Rodica Roman
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Abstract

A new equivalence relation, named relation of 'similarity' is defined and applied in the restricted three-body problem. Using this relation, a new class of trajectories (named 'similar' trajectories) are obtained; they have the theoretical role to give us new details in the restricted three-body problem. The 'similar' coordinate systems allow us in addition to obtain a unitary and an elegant demonstration of some analytical relations in the Roche geometry. As an example, some analytical relations published in Astrophysical Journal by Seidov in 2004 are demonstrated.

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Rodica Roman. 2011-10-21. `Similar' coordinate systems and the Roche geometry. Application. https://doi.org/10.1007/s10509-011-0747-1

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