Census of transient orbital resonances encountered during binary inspiral
Transient orbital resonances have recently been identified as potentially important to the inspiral of small bodies into large black holes. These resonances occur as the inspiral evolves through moments in which two fundamental orbital frequencies, Ω[subscript θ] and Ω[subscript r], are in a small i...
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American Physical Society
2014
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| Online Access: | http://hdl.handle.net/1721.1/89007 https://orcid.org/0000-0001-6211-1388 https://orcid.org/0000-0001-5490-2227 |
| _version_ | 1826214441801220096 |
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| author | Ruangsri, Uchupol Hughes, Scott A |
| author2 | Massachusetts Institute of Technology. Department of Physics |
| author_facet | Massachusetts Institute of Technology. Department of Physics Ruangsri, Uchupol Hughes, Scott A |
| author_sort | Ruangsri, Uchupol |
| collection | MIT |
| description | Transient orbital resonances have recently been identified as potentially important to the inspiral of small bodies into large black holes. These resonances occur as the inspiral evolves through moments in which two fundamental orbital frequencies, Ω[subscript θ] and Ω[subscript r], are in a small integer ratio to one another. Previous work has demonstrated that a binary’s parameters are “kicked” each time the inspiral passes through a resonance, changing the orbit’s characteristics relative to a model that neglects resonant effects. In this paper, we use exact Kerr geodesics coupled to an accurate but approximate model of inspiral to survey orbital parameter space and estimate how commonly one encounters long-lived orbital resonances. We find that the most important resonances last for a few hundred orbital cycles at mass ratio 10[superscript −6], and that resonances are almost certain to occur during the time that a large-mass-ratio binary would be a target of gravitational wave observations. Resonances appear to be ubiquitous in large-mass-ratio inspiral, and to last long enough that they are likely to affect binary evolution in observationally important ways. |
| first_indexed | 2024-09-23T16:05:25Z |
| format | Article |
| id | mit-1721.1/89007 |
| institution | Massachusetts Institute of Technology |
| language | en_US |
| last_indexed | 2024-09-23T16:05:25Z |
| publishDate | 2014 |
| publisher | American Physical Society |
| record_format | dspace |
| spelling | mit-1721.1/890072022-10-02T06:15:24Z Census of transient orbital resonances encountered during binary inspiral Ruangsri, Uchupol Hughes, Scott A Massachusetts Institute of Technology. Department of Physics MIT Kavli Institute for Astrophysics and Space Research Ruangsri, Uchupol Hughes, Scott A. Transient orbital resonances have recently been identified as potentially important to the inspiral of small bodies into large black holes. These resonances occur as the inspiral evolves through moments in which two fundamental orbital frequencies, Ω[subscript θ] and Ω[subscript r], are in a small integer ratio to one another. Previous work has demonstrated that a binary’s parameters are “kicked” each time the inspiral passes through a resonance, changing the orbit’s characteristics relative to a model that neglects resonant effects. In this paper, we use exact Kerr geodesics coupled to an accurate but approximate model of inspiral to survey orbital parameter space and estimate how commonly one encounters long-lived orbital resonances. We find that the most important resonances last for a few hundred orbital cycles at mass ratio 10[superscript −6], and that resonances are almost certain to occur during the time that a large-mass-ratio binary would be a target of gravitational wave observations. Resonances appear to be ubiquitous in large-mass-ratio inspiral, and to last long enough that they are likely to affect binary evolution in observationally important ways. National Science Foundation (U.S.) (Grant PHY-1068720) John Simon Guggenheim Memorial Foundation 2014-08-25T13:37:20Z 2014-08-25T13:37:20Z 2014-04 2013-07 Article http://purl.org/eprint/type/JournalArticle 1550-7998 1550-2368 http://hdl.handle.net/1721.1/89007 Ruangsri, Uchupol, and Scott A. Hughes. “Census of Transient Orbital Resonances Encountered During Binary Inspiral.” Phys. Rev. D 89, no. 8 (April 2014). © 2014 American Physical Society https://orcid.org/0000-0001-6211-1388 https://orcid.org/0000-0001-5490-2227 en_US http://dx.doi.org/10.1103/PhysRevD.89.084036 Physical Review D Article is made available in accordance with the publisher's policy and may be subject to US copyright law. Please refer to the publisher's site for terms of use. application/pdf American Physical Society American Physical Society |
| spellingShingle | Ruangsri, Uchupol Hughes, Scott A Census of transient orbital resonances encountered during binary inspiral |
| title | Census of transient orbital resonances encountered during binary inspiral |
| title_full | Census of transient orbital resonances encountered during binary inspiral |
| title_fullStr | Census of transient orbital resonances encountered during binary inspiral |
| title_full_unstemmed | Census of transient orbital resonances encountered during binary inspiral |
| title_short | Census of transient orbital resonances encountered during binary inspiral |
| title_sort | census of transient orbital resonances encountered during binary inspiral |
| url | http://hdl.handle.net/1721.1/89007 https://orcid.org/0000-0001-6211-1388 https://orcid.org/0000-0001-5490-2227 |
| work_keys_str_mv | AT ruangsriuchupol censusoftransientorbitalresonancesencounteredduringbinaryinspiral AT hughesscotta censusoftransientorbitalresonancesencounteredduringbinaryinspiral |