Two body problem in presence of cosmological constant
General Relativity and Quantum Cosmology
2019-10-23 v1
Abstract
We consider the Kepler two-body problem in presence of the cosmological constant . Contrary to the classical case, where finite solutions exist for any angular momentum of the system , in presence of finite solutions exist only in the interval . The qualitative picture of the two-body motion is described, and critical parameters of the problem are found. Application are made to the relative motion of the Local Group and Virgo cluster.
Keywords
Cite
@article{arxiv.1906.05861,
title = {Two body problem in presence of cosmological constant},
author = {G. S. Bisnovatyi-Kogan and M. Merafina},
journal= {arXiv preprint arXiv:1906.05861},
year = {2019}
}
Comments
15 pages, 3 figures