**Authors**: P. G. Komorowski, S. R. Valluri, M. Houde

**Date**: 5 Jan 2011

**Abstract**: 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 (${\tilde{l}}$) and eccentricity (${e}$), has been introduced as a device by which the consistency of $dQ/dt$ with corresponding evolution equations for $d\tilde{l}% /dt$ and $de/dt$ might be tested, and as a means of elucidating second-order effects on the listing rate of the orbital angle of inclination, $\partial {% \iota}/\partial {t}$ (independently of a specific radiation back-reaction model). Our present work expands upon these two uses.

1101.0996
(/preprints)

2011-01-07, 22:18
**[edit]**

© M. Vallisneri 2012 — last modified on 2010/01/29

*Tantum in modicis, quantum in maximis*