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Number of results

Journal

2012 | 10 | 4 | 799-820

Article title

The Carter constant for inclined orbits about a massive Kerr black hole: near-circular, near-polar orbits

Content

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Languages of publication

EN

Abstracts

EN
In an extreme mass-ratio binary black hole system, a non-equatorial orbit will list (i.e. increase its angle of inclination, i) as it evolves in Kerr spacetime. The abutment, a set of evolving, near-polar, retrograde orbits, for which the instantaneous Carter constant (Q) is at its maximum value (Q
X) for given values of latus rectum (l̃) and eccentricity (e), has been introduced as a laboratory in which the consistency of dQ/dt with corresponding evolution equations for d
l̃/dt and de/dt might be tested independently of a specific radiation back-reaction model. To demonstrate the use of the abutment as such a laboratory, a derivation of dQ/dt, based only on published formulae for d
l̃/dt and de/dt, was performed for elliptical orbits on the abutment. The resulting expression for dQ/dt matched the published result to the second order in e. We believe the abutment is a potentially useful tool for improving the accuracy of evolution equations to higher orders of e and l̃−.

Publisher

Journal

Year

Volume

10

Issue

4

Pages

799-820

Physical description

Dates

published
1 - 8 - 2012
online
17 - 7 - 2012

Contributors

  • Department of Physics and Astronomy, University of Western Ontario, 1151 Richmond Street, London, Ontario, N6A 3K7, Canada
author
  • Department of Physics and Astronomy, Department of Applied Mathematics, University of Western Ontario, 1151 Richmond Street, London, Ontario, N6A 3K7, Canada
author
  • Department of Physics and Astronomy, University of Western Ontario, 1151 Richmond Street, London, Ontario, N6A 3K7, Canada

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Document Type

Publication order reference

Identifiers

YADDA identifier

bwmeta1.element.-psjd-doi-10_2478_s11534-012-0043-x
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