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2023

Efficient multi-timescale dynamics of precessing black-hole binaries

Gerosa, Davide, Fumagalli, Giulia, Mould, Matthew et al.

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We present analytical and numerical progress on black-hole binary spin precession at second post-Newtonian order using multi-timescale methods.

In addition to the commonly used effective spin which acts as a constant of motion, we exploit the weighted spin difference and show that such reparametrization cures the coordinate singularity that affected the previous formulation for the case of equal-mass binaries.
The dynamics on the precession timescale is written down in closed form in both coprecessing and inertial frames.
Radiation reaction can then be introduced in a quasi-adiabatic fashion such that, at least for binaries on quasi-circular orbits, gravitational inspirals reduce to solving a single ordinary differential equation.

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