The Three-body Problem with Radiation Reaction: Observational Implications for BH Binaries

Astronomy and Astrophysics – Astronomy

Scientific paper

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Scientific paper

The circular restricted three-body problem is one of the oldest and most-studied problem in celestial mechanics. Here we consider the case in which the two larger bodies are super-massive or intermediate-mass black holes (BHs) in a planar circular orbit, and the third object is a stellar-mass BH or main-sequence star. When including gravitational radiation losses, we find interesting changes in the location and stability of the Lagrange equilibrium points. In particular, we find that stellar objects captured into the L4 and L5 stable equilibrium points may be shepherded in through the binary inspiral, eventually either merging with the secondary BH, getting tidally disrupted, or ejected entirely from the system. Each of these possibilities will lead to a unique observational signature that may be detectable in the near future.

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