Gravitational Waves in the Circular Restricted Three Body Problem

Fuente: arXiv
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Main Authors: Barandiaran, Mikel Martin, Kuroyanagi, Sachiko, Nesseris, Savvas
Format: Preprint
Published: 2023
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author Barandiaran, Mikel Martin
Kuroyanagi, Sachiko
Nesseris, Savvas
author_facet Barandiaran, Mikel Martin
Kuroyanagi, Sachiko
Nesseris, Savvas
contents The prospect of unprecedented high-quality data of gravitational waves in the upcoming decades demands a theoretical effort to optimally study and analyze the signals that next generation detectors will provide. Here we study the gravitational wave emission and related dynamics during the inspiralling phase of the Circular Restricted Three Body Problem, a modification of the conventional binary scenario in which a small third object co-rotates with the parent binary system. Specifically, we obtain analytic expressions for the emitted power, frequency variation and other dynamical variables that describe the evolution of the system. As a key highlight, we find that the presence of the third body actually slows down the coalescence of the binary, which can be partially interpreted as an effective rescaling of the binary's chirp-mass. Our analysis assumes semi-Keplerian orbits for the particles and a highly mass asymmetric parent binary needed for the stability of orbits.
format Preprint
id arxiv_https___arxiv_org_abs_2309_15510
institution arXiv
publishDate 2023
record_format arxiv
spellingShingle Gravitational Waves in the Circular Restricted Three Body Problem
Barandiaran, Mikel Martin
Kuroyanagi, Sachiko
Nesseris, Savvas
General Relativity and Quantum Cosmology
High Energy Astrophysical Phenomena
The prospect of unprecedented high-quality data of gravitational waves in the upcoming decades demands a theoretical effort to optimally study and analyze the signals that next generation detectors will provide. Here we study the gravitational wave emission and related dynamics during the inspiralling phase of the Circular Restricted Three Body Problem, a modification of the conventional binary scenario in which a small third object co-rotates with the parent binary system. Specifically, we obtain analytic expressions for the emitted power, frequency variation and other dynamical variables that describe the evolution of the system. As a key highlight, we find that the presence of the third body actually slows down the coalescence of the binary, which can be partially interpreted as an effective rescaling of the binary's chirp-mass. Our analysis assumes semi-Keplerian orbits for the particles and a highly mass asymmetric parent binary needed for the stability of orbits.
title Gravitational Waves in the Circular Restricted Three Body Problem
topic General Relativity and Quantum Cosmology
High Energy Astrophysical Phenomena
url https://arxiv.org/abs/2309.15510