Perihelion librations in the secular three--body problem
Dynamical Systems
2020-05-20 v1 Mathematical Physics
math.MP
Abstract
A normal form theory for non--quasi--periodic systems is combined with the special properties of the partially averaged Newtonian potential pointed out in [15] to prove, in the averaged, planar three--body problem, the existence of a plenty of motions where, periodically, the perihelion of the inner body affords librations about one equilibrium position and its ellipse squeezes to a segment before reversing its direction and again decreasing its eccentricity (perihelion librations).
Cite
@article{arxiv.2002.11358,
title = {Perihelion librations in the secular three--body problem},
author = {Gabriella Pinzari},
journal= {arXiv preprint arXiv:2002.11358},
year = {2020}
}
Comments
3 Figures, 30 pages