Relativistic Resonant Relations between Massive Black Hole Binary and Extreme Mass Ratio Inspiral
arXiv:1202.4761 · doi:10.1103/PhysRevD.85.064037
Abstract
One component of a massive black hole binary (MBHB) might capture a small third body, and then a hierarchical, inclined triple system would be formed. With the post-Newtonian approximation including radiation reaction, we analyzed the evolution of the triple initially with small eccentricities. We found that an essentially new resonant relation could arise in the triple system. Here relativistic effects are crucial. Relativistic resonances, including the new one, stably work even for an outer MBHB of comparable masses, and significantly change the orbit of the inner small body.
9 pages, 5 figures, to appear in PRD
References in corpus (5)
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- The Effect of Massive Perturbers on Extreme Mass-Ratio Inspiral Waveforms
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- Innermost stable circular orbits in Majumdar--Papapetrou dihole spacetime
- Nonchaotic evolution of triangular configuration due to gravitational radiation reaction in the three-body problem
- Effect of a second compact object on stable circular orbits
- The linear stability of the post-Newtonian triangular equilibrium in the three-body problem
- Analyses on a Relativistic Hierarchical Resonance with the Hamiltonian Approach
- Spin and quadrupolar effects in the secular evolution of precessing compact binaries with black hole, neutron star, gravastar, or boson star components