Analytical, Statistical Approximate Solution of Dissipative and Nondissipative Binary-Single Stellar Encounters

We present a statistical approximate solution of the bound, nonhierarchical three-body problem, and extend it to a general analysis of encounters between hard binary systems and single stars. Any such encounter terminates when one of the three stars is ejected to infinity, leaving behind a remnant b...

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Autores principales:	Yonadav Barry Ginat, Hagai B. Perets
Formato:	article
Lenguaje:	EN
Publicado:	American Physical Society 2021
Materias:	Physics QC1-999
Acceso en línea:	https://doaj.org/article/87f00987300d460d8c94bec89b4adc93
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spelling	oai:doaj.org-article:87f00987300d460d8c94bec89b4adc932021-12-02T16:26:42ZAnalytical, Statistical Approximate Solution of Dissipative and Nondissipative Binary-Single Stellar Encounters10.1103/PhysRevX.11.0310202160-3308https://doaj.org/article/87f00987300d460d8c94bec89b4adc932021-07-01T00:00:00Zhttp://doi.org/10.1103/PhysRevX.11.031020http://doi.org/10.1103/PhysRevX.11.031020https://doaj.org/toc/2160-3308We present a statistical approximate solution of the bound, nonhierarchical three-body problem, and extend it to a general analysis of encounters between hard binary systems and single stars. Any such encounter terminates when one of the three stars is ejected to infinity, leaving behind a remnant binary; the problem with binary-single-star scattering consists of finding the probability distribution of the orbital parameters of the remnant binary as a function of the total energy and the total angular momentum. Here, we model the encounter as a series of close, nonhierarchical, triple approaches, interspersed with hierarchical phases, in which the system consists of an inner binary and a star that orbits it; this series of approaches turns the evolution of the entire encounter to a random walk between consecutive hierarchical phases. We use the solution of the bound, nonhierarchical three-body problem to find the walker’s transition probabilities, which we generalize to situations in which tidal interactions are important. Besides tides, any dissipative process may be incorporated into the random-walk model, as it is completely general. Our approximate solution can reproduce the results of the extensive body of past numerical simulations and can account for different environments and different dissipative effects. Therefore, this model can effectively replace the need for direct few-body integrations for the study of binary-single encounters in any environment. Furthermore, it allows for a simply inclusion of dissipative forces typically not accounted for in full N-body integration schemes.Yonadav Barry GinatHagai B. PeretsAmerican Physical SocietyarticlePhysicsQC1-999ENPhysical Review X, Vol 11, Iss 3, p 031020 (2021)
institution	DOAJ
collection	DOAJ
language	EN
topic	Physics QC1-999
spellingShingle	Physics QC1-999 Yonadav Barry Ginat Hagai B. Perets Analytical, Statistical Approximate Solution of Dissipative and Nondissipative Binary-Single Stellar Encounters
description	We present a statistical approximate solution of the bound, nonhierarchical three-body problem, and extend it to a general analysis of encounters between hard binary systems and single stars. Any such encounter terminates when one of the three stars is ejected to infinity, leaving behind a remnant binary; the problem with binary-single-star scattering consists of finding the probability distribution of the orbital parameters of the remnant binary as a function of the total energy and the total angular momentum. Here, we model the encounter as a series of close, nonhierarchical, triple approaches, interspersed with hierarchical phases, in which the system consists of an inner binary and a star that orbits it; this series of approaches turns the evolution of the entire encounter to a random walk between consecutive hierarchical phases. We use the solution of the bound, nonhierarchical three-body problem to find the walker’s transition probabilities, which we generalize to situations in which tidal interactions are important. Besides tides, any dissipative process may be incorporated into the random-walk model, as it is completely general. Our approximate solution can reproduce the results of the extensive body of past numerical simulations and can account for different environments and different dissipative effects. Therefore, this model can effectively replace the need for direct few-body integrations for the study of binary-single encounters in any environment. Furthermore, it allows for a simply inclusion of dissipative forces typically not accounted for in full N-body integration schemes.
format	article
author	Yonadav Barry Ginat Hagai B. Perets
author_facet	Yonadav Barry Ginat Hagai B. Perets
author_sort	Yonadav Barry Ginat
title	Analytical, Statistical Approximate Solution of Dissipative and Nondissipative Binary-Single Stellar Encounters
title_short	Analytical, Statistical Approximate Solution of Dissipative and Nondissipative Binary-Single Stellar Encounters
title_full	Analytical, Statistical Approximate Solution of Dissipative and Nondissipative Binary-Single Stellar Encounters
title_fullStr	Analytical, Statistical Approximate Solution of Dissipative and Nondissipative Binary-Single Stellar Encounters
title_full_unstemmed	Analytical, Statistical Approximate Solution of Dissipative and Nondissipative Binary-Single Stellar Encounters
title_sort	analytical, statistical approximate solution of dissipative and nondissipative binary-single stellar encounters
publisher	American Physical Society
publishDate	2021
url	https://doaj.org/article/87f00987300d460d8c94bec89b4adc93
work_keys_str_mv	AT yonadavbarryginat analyticalstatisticalapproximatesolutionofdissipativeandnondissipativebinarysinglestellarencounters AT hagaibperets analyticalstatisticalapproximatesolutionofdissipativeandnondissipativebinarysinglestellarencounters
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Analytical, Statistical Approximate Solution of Dissipative and Nondissipative Binary-Single Stellar Encounters

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