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General Relativity and Quantum Cosmology, gr-qc, Astrophysics, High Energy Astrophysical Phenomena, astro-ph.HE
Abstract:
Emission of anisotropic gravitational radiation from compact binary system
leads to a flux of linear momentum. This results in the recoil of the system.
We investigate the rate of loss of Linear momentum flux in the far zone of the
source using various mass type and current type multipole moments for
inspiralling compact binary mergers in quasi-elliptical orbits at 2.5 Post
Newtonian order. We compute the linear momentum flux accurate up to
$\mathcal{O}(e_t)$ in harmonic coordinate. A 2.5 Post Newtonian Quasi-Keplarian
representation of the parametric solution to the Post Newtonian equation of
motion for the compact binary system has been adopted here. We also provide a
closed-form expression for the accumulated linear momentum from the remote past
through the binary evolution.