Orbital phase in inspiralling compact binaries
M\'aty\'as Vas\'uth, Bal\'azs Mik\'oczi, L\'aszl\'o \'A. Gergely
TL;DR
This paper derives the second post-Newtonian order rate of change of mean motion for inspiralling compact binaries with spins and multipole moments, providing orbital phase details for eccentric and circular orbits.
Contribution
It introduces a second post-Newtonian order calculation of mean motion change including spin and multipole effects for eccentric inspiralling binaries.
Findings
Derived second post-Newtonian order rate of change of mean motion.
Provided orbital phase expressions for circular orbits.
Enhanced modeling accuracy for inspiralling compact binaries.
Abstract
We derive the rate of change of the mean motion up to the second post-Newtonian order for inspiralling compact binaries with spin, mass quadrupole and magnetic dipole moments on eccentric orbits. We give this result in terms of orbital elements. We also present the related orbital phase for circular orbits.
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