Lambert's theorem and projective dynamics
Mathematical Physics
2019-10-15 v1 Metric Geometry
math.MP
Symplectic Geometry
Abstract
We prove that the classical Lambert theorem about the elapsed time on an arc of Keplerian orbit extends without change to the Kepler problem on a space of constant curvature. We prove that the Hooke problem has a property similar to Lambert's theorem, which also extends to the spaces of constant curvature.
Cite
@article{arxiv.1910.05391,
title = {Lambert's theorem and projective dynamics},
author = {Alain Albouy and Lei Zhao},
journal= {arXiv preprint arXiv:1910.05391},
year = {2019}
}
Comments
16 pages, 1 figure