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SUMMARY:Integrability and action-angle variables for eccentric\, spinning 
 black-hole binaries in post-Newtonian theory - Dr. Leo Stein\, The Univers
 ity of Mississippi
DTSTART:20220126T140000Z
DTEND:20220126T150000Z
UID:TALK166030@talks.cam.ac.uk
CONTACT:Bipasha Chakraborty
DESCRIPTION:Accurate gravitational waveforms are necessary for LIGO and LI
 SA sources\, and especially for the prospect of multi-band gravitational w
 ave observations. Computing these waveforms accurately is expensive becaus
 e of the complicated precession dynamics over a very large number of orbit
 s. The most complicated scenario is an eccentric binary where both spins a
 nd the orbital plane are precessing. Current state-of-the-art waveform mod
 els rely on analytical approximations like orbit averaging and a small-ecc
 entricity expansion. I will present work towards avoiding these approximat
 ions by exploiting integrability of the Hamiltonian dynamics of eccentric\
 , spinning black hole binaries.  Integrability lets us construct action-an
 gle variables\, which make the evolution very simple for arbitrarily long 
 times. I will present how to construct the action integrals (involving lif
 ting via a momentum map) and angle variables at 1.5PN.  And while post-New
 tonian corrections break integrability\, we can recover it in a perturbati
 ve sense. I will also present explicit (perturbative) constants of motion 
 at 2PN order\, and the method that we used to find them. (Based on 2012.06
 586 and 2110.15351)
LOCATION:ONLINE - Details to be sent by email
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