University of Birmingham > Talks@bham > Astrophysics Talks Series > Integrability of eccentric, spinning black-hole binaries up to second post-Newtonian order

## Integrability of eccentric, spinning black-hole binaries up to second post-Newtonian orderAdd to your list(s) Download to your calendar using vCal - Leo Stein, University of Mississippi
- Wednesday 30 September 2020, 14:00-15:00
- online .
If you have a question about this talk, please contact Silvia Toonen. PhD meet & greet at 15.30 Accurate gravitational waveforms are necessary for LIGO and LISA sources, and especially for the prospect of multi-band gravitational wave observations. Computing these waveforms accurately is expensive because of the complicated precession dynamics over a very large number of orbits. The most complicated scenario is an eccentric binary where both spins and the orbital plane are precessing. Current state-of-the-art waveform models rely on analytical approximations like orbit averaging and a small-eccentricity expansion. I will present work towards avoiding these approximations by exploiting integrability of the Hamiltonian dynamics of eccentric, spinning black hole binaries. Integrability lets us construct action-angle variables, which make the evolution very simple for arbitrarily long times. We will present four out of five of the action integrals at 1.5PN. And while post-Newtonian corrections break integrability, we can recover it in a perturbative sense. We will present explicit (perturbative) constants of motion at 2PN order, and the method that was used to find them. This talk is part of the Astrophysics Talks Series series. ## This talk is included in these lists:Note that ex-directory lists are not shown. |
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