Gravitational Waves from Inspiralling Compact Binaries in ... - LUTH

Angular Momentum Flux
For non-circular orbits, in addition to the conserved energy
and gravitational wave energy flux, the angular momentum
flux needs to be known to determine the phasing of
eccentric binaries. A knowledge of the angular momentum
flux of the system averaged over an orbit is mandatory to
calculate the evolution of the orbital elements of
non-circular, in particular, elliptic orbits under GW radiation
reaction.
We compute the angular momentum flux of inspiralling
compact binaries moving in non-circular orbits up to 3PN
order generalising earlier work at Newtonian order by Peters
(1964), at 1PN order by Junker and Schäfer (Junker Schäfer
1992), 1.5PN (tails and spin-orbit) by Scha´fer and Rieth (1997)
and at 2PN order by Gopakumar and Iyer (1997). Unlike at
earlier post-Newtonian orders, the 3PN contribution to
angular momentum flux comes not only from instantaneous
BRI-IHP06-I – p.67/??
terms but also hereditary contributions.