`Similar' coordinate systems and the Roche geometry. Application
Earth and Planetary Astrophysics
2011-10-24 v1 Solar and Stellar Astrophysics
Mathematical Physics
math.MP
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.
Cite
@article{arxiv.1110.4764,
title = {`Similar' coordinate systems and the Roche geometry. Application},
author = {Rodica Roman},
journal= {arXiv preprint arXiv:1110.4764},
year = {2011}
}
Comments
9 pages (preprint format), 9 figures, published in Astrophysics and Space Science