General relativistic effects on Hill stability of multibody systems: Stability of three-body systems containing a massive black hole

Haruka Suzuki, Yusuke Nakamura, Shoichi Yamada

Research output: Contribution to journalArticlepeer-review

Abstract

We study the effects of general relativistic gravity on the Hill stability, that is, the stability of a multibody system against a close approach of one orbit to another, which has been hitherto studied mainly in Newtonian mechanics and applied to planetary systems. We focus in this paper on the three-body problem and extend the Newtonian analyses to the general relativistic regime in the post-Newtonian approximation. The approximate sufficient condition for the relativistic Hill stability of three-body systems is derived analytically and its validity and usefulness are confirmed numerically. In fact, relativity makes the system more unstable than Newtonian mechanics in the sense of the Hill stability as expected by our theoretical prediction. The criterion will be useful to analyze the results of large-scale N-body simulations of dense environments, in which the stability of three-body subsystems is important.

Original languageEnglish
Article number124063
JournalPhysical Review D
Volume102
Issue number12
DOIs
Publication statusPublished - 2020 Dec 28

ASJC Scopus subject areas

  • Physics and Astronomy (miscellaneous)

Fingerprint Dive into the research topics of 'General relativistic effects on Hill stability of multibody systems: Stability of three-body systems containing a massive black hole'. Together they form a unique fingerprint.

Cite this