Abstract
In the description of the relativistic two-body interaction, together with the effects of energy and
angular momentum losses due to the emission of gravitational radiation, one has to take into account also
the loss of linear momentum, which is responsible for the recoil of the center-of-mass of the system. We
compute higher-order tail (i.e., tail-of-tail and tail-squared) contributions to the linear momentum flux
for a nonspinning binary system either along hyperboliclike or ellipticlike orbits. The corresponding
orbital averages are evaluated at their leading post-Newtonian approximation, using harmonic
coordinates and working in the Fourier domain. The final expressions are given in a large-eccentricity
(or large-angular momentum) expansion along hyperboliclike orbits and in a small-eccentricity
expansion along ellipticlike orbits. We thus complete a previous analysis focusing on both energy
and angular momentum losses [Phys. Rev. D 104, 104020 (2021)], providing brick-type results which
will be useful, e.g., in the high-accurate determination of the radiated impulses of the two bodies
undergoing a scattering process.
Anno
2022
Autori IAC
Tipo pubblicazione
Altri Autori
Donato Bini, Andrea Geralico
Editore
American Physical Society,
Rivista
Physical review. D. Particles, fields, gravitation, and cosmology (Online)