Two-body problem in presence of cosmological constant-Reference-Cited by-同舟云学术

Two-body problem in presence of cosmological constant

Published:2019-09 Issue:12 Volume:28 Page:1950155
ISSN:0218-2718
Container-title:International Journal of Modern Physics D
language:en
Short-container-title:Int. J. Mod. Phys. D

Author:

Bisnovatyi-Kogan G. S.¹²³⁴,Merafina M.⁴^ORCID

Affiliation:

1. Space Research Institute, Profsoyusnaya 84/32, Moscow, 117997, Russia

2. National Research Nuclear University MEPhI, Kashira Highway, 31, Moscow, 115409, Russia

3. Moscow Institute of Physics and Technology MIPT, Institutskiy Pereulok, 9, Dolgoprudny, Moscow region, 141701 Russia

4. Department of Physics, University of Rome “La Sapienza”, Rome, Italy

Abstract

We consider the Kepler two-body problem in presence of the cosmological constant [Formula: see text]. Contrary to the classical case, where finite solutions exist for any angular momentum of the system [Formula: see text], in presence of [Formula: see text] finite solutions exist only in the interval [Formula: see text]. The qualitative picture of the two-body motion is described, and critical parameters of the problem are found. Application is made to the relative motion of the Local Group and Virgo cluster.

Funder

Russian Foundation for Basic Research

Publisher

World Scientific Pub Co Pte Lt

Subject

Space and Planetary Science,Astronomy and Astrophysics,Mathematical Physics

Link

https://www.worldscientific.com/doi/pdf/10.1142/S0218271819501554

Reference44 articles.

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