Black Hole Spin and Stellar Flyby Periastron Shift
For a scenario of a close flyby of a compact star near a spinning black hole, we provide analytical and numerical estimates for the shift of trajectory periastron due to relativistic (beyond post-Newtonian) effects. More specifically, we derived a generalized expression (not limited to quasi-circula...
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Format: | Article |
Language: | English |
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MDPI AG
2021-09-01
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Series: | Universe |
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Online Access: | https://www.mdpi.com/2218-1997/7/10/364 |
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author | Elizabeth P. Tito Vadim I. Pavlov |
author_facet | Elizabeth P. Tito Vadim I. Pavlov |
author_sort | Elizabeth P. Tito |
collection | DOAJ |
description | For a scenario of a close flyby of a compact star near a spinning black hole, we provide analytical and numerical estimates for the shift of trajectory periastron due to relativistic (beyond post-Newtonian) effects. More specifically, we derived a generalized expression (not limited to quasi-circular or elliptical orbits) directly linking the periastron shift and the spin of the black hole. The expression permits the estimation of black hole spin based on astronomical tracking of locations of stars traveling along highly eccentric (parabolic and hyperbolic) trajectories in close vicinity of a black hole. We also demonstrate how stars traveling on hyperbolic or parabolic trajectories may be (temporarily) captured onto quasi-circular orbits around black holes, and we quantitatively examine conditions for such scenarios. |
first_indexed | 2024-03-10T06:09:12Z |
format | Article |
id | doaj.art-274d11c7535242088091a2fcd4f52c3a |
institution | Directory Open Access Journal |
issn | 2218-1997 |
language | English |
last_indexed | 2024-03-10T06:09:12Z |
publishDate | 2021-09-01 |
publisher | MDPI AG |
record_format | Article |
series | Universe |
spelling | doaj.art-274d11c7535242088091a2fcd4f52c3a2023-11-22T20:13:55ZengMDPI AGUniverse2218-19972021-09-0171036410.3390/universe7100364Black Hole Spin and Stellar Flyby Periastron ShiftElizabeth P. Tito0Vadim I. Pavlov1Scientific Advisory Group, Pasadena, CA 91125, USAScientific Advisory Group, Pasadena, CA 91125, USAFor a scenario of a close flyby of a compact star near a spinning black hole, we provide analytical and numerical estimates for the shift of trajectory periastron due to relativistic (beyond post-Newtonian) effects. More specifically, we derived a generalized expression (not limited to quasi-circular or elliptical orbits) directly linking the periastron shift and the spin of the black hole. The expression permits the estimation of black hole spin based on astronomical tracking of locations of stars traveling along highly eccentric (parabolic and hyperbolic) trajectories in close vicinity of a black hole. We also demonstrate how stars traveling on hyperbolic or parabolic trajectories may be (temporarily) captured onto quasi-circular orbits around black holes, and we quantitatively examine conditions for such scenarios.https://www.mdpi.com/2218-1997/7/10/364spinning black holeKerr metricLagrangiantrajectoryperiastron shift |
spellingShingle | Elizabeth P. Tito Vadim I. Pavlov Black Hole Spin and Stellar Flyby Periastron Shift Universe spinning black hole Kerr metric Lagrangian trajectory periastron shift |
title | Black Hole Spin and Stellar Flyby Periastron Shift |
title_full | Black Hole Spin and Stellar Flyby Periastron Shift |
title_fullStr | Black Hole Spin and Stellar Flyby Periastron Shift |
title_full_unstemmed | Black Hole Spin and Stellar Flyby Periastron Shift |
title_short | Black Hole Spin and Stellar Flyby Periastron Shift |
title_sort | black hole spin and stellar flyby periastron shift |
topic | spinning black hole Kerr metric Lagrangian trajectory periastron shift |
url | https://www.mdpi.com/2218-1997/7/10/364 |
work_keys_str_mv | AT elizabethptito blackholespinandstellarflybyperiastronshift AT vadimipavlov blackholespinandstellarflybyperiastronshift |