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The Carter Constant For Inclined Orbits About A Massive Kerr Black Hole: Near-Circular, Near-Polar Orbits, Sree Ram Valluri, Peter Komorowski, Martin Houde

Physics and Astronomy Publications

In an extreme mass-ratio binary black hole system, a non-equatorial orbit will list (i.e. increase its angle of inclination, iota) 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 (˜l) and eccentricity (e), has been introduced as a laboratory in which the consistency of dQ/dt with corresponding evolution equations for d˜l/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 …