Gravitomagnetic effects in compact binary systems : a study of spin-enhanced orbits around Kerr black holes
Thesis (S.B.)--Massachusetts Institute of Technology, Dept. of Physics, 2004.
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| Format: | Thesis |
| Language: | eng |
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Massachusetts Institute of Technology
2005
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| Online Access: | http://hdl.handle.net/1721.1/17916 |
| _version_ | 1826217589044412416 |
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| author | Kansagra, Akash Pravin, 1983- |
| author2 | Scott A. Hughes. |
| author_facet | Scott A. Hughes. Kansagra, Akash Pravin, 1983- |
| author_sort | Kansagra, Akash Pravin, 1983- |
| collection | MIT |
| description | Thesis (S.B.)--Massachusetts Institute of Technology, Dept. of Physics, 2004. |
| first_indexed | 2024-09-23T17:06:04Z |
| format | Thesis |
| id | mit-1721.1/17916 |
| institution | Massachusetts Institute of Technology |
| language | eng |
| last_indexed | 2024-09-23T17:06:04Z |
| publishDate | 2005 |
| publisher | Massachusetts Institute of Technology |
| record_format | dspace |
| spelling | mit-1721.1/179162019-04-10T16:35:43Z Gravitomagnetic effects in compact binary systems : a study of spin-enhanced orbits around Kerr black holes Kansagra, Akash Pravin, 1983- Scott A. Hughes. Massachusetts Institute of Technology. Dept. of Physics. Massachusetts Institute of Technology. Dept. of Physics. Physics. Thesis (S.B.)--Massachusetts Institute of Technology, Dept. of Physics, 2004. Includes bibliographical references (p. 77-78). An important subject in current gravity research concerns the evolution of compact binary systems in which both members spin, particularly in the extreme mass ratio limit. Previous research has suggested that the effect of spin in such systems may be particularly significant-possibly even chaotic-near the homoclinic set of orbits, which lie close to the separatrix dividing stable and unstable orbits. In this thesis we present a study of the spin-induced evolution of inclined, eccentric Kerr black hole orbits. The evolution of the orbital energy, angular momentum, and Carter constant for such orbits is driven by the local spin force on the orbiting body, which is inferred from the Papapetrou equations. We find that the variation of the constants which characterize the orbit (e.g., energy, angular momentum, and Carter constant) is complicated and occurs on orbital timescales, but is contained within well-defined bounds that expand smoothly as the spin on the orbiting body is increased. As a consequence, the total volume explored in the orbital phase space of a given orbit is finite. We also find that the phase space volume grows rapidly as one approaches the homoclinic set of orbits, but ceases to increase once the particle comes within a certain threshold distance of the separatrix. by Akash Pravin Kansagra. S.B. 2005-06-02T19:10:26Z 2005-06-02T19:10:26Z 2004 2004 Thesis http://hdl.handle.net/1721.1/17916 56728281 eng M.I.T. theses are protected by copyright. They may be viewed from this source for any purpose, but reproduction or distribution in any format is prohibited without written permission. See provided URL for inquiries about permission. http://dspace.mit.edu/handle/1721.1/7582 78 p. 3143000 bytes 3151197 bytes application/pdf application/pdf application/pdf Massachusetts Institute of Technology |
| spellingShingle | Physics. Kansagra, Akash Pravin, 1983- Gravitomagnetic effects in compact binary systems : a study of spin-enhanced orbits around Kerr black holes |
| title | Gravitomagnetic effects in compact binary systems : a study of spin-enhanced orbits around Kerr black holes |
| title_full | Gravitomagnetic effects in compact binary systems : a study of spin-enhanced orbits around Kerr black holes |
| title_fullStr | Gravitomagnetic effects in compact binary systems : a study of spin-enhanced orbits around Kerr black holes |
| title_full_unstemmed | Gravitomagnetic effects in compact binary systems : a study of spin-enhanced orbits around Kerr black holes |
| title_short | Gravitomagnetic effects in compact binary systems : a study of spin-enhanced orbits around Kerr black holes |
| title_sort | gravitomagnetic effects in compact binary systems a study of spin enhanced orbits around kerr black holes |
| topic | Physics. |
| url | http://hdl.handle.net/1721.1/17916 |
| work_keys_str_mv | AT kansagraakashpravin1983 gravitomagneticeffectsincompactbinarysystemsastudyofspinenhancedorbitsaroundkerrblackholes |