| Name: Mohd Asim Ansari |
| Affiliation: Inter-University Centre for Astronomy and Astrophysics |
| Conference ID: ASI2026_337 |
| Title: Phase Corrections from Line-of-Sight Acceleration in Eccentric Compact Binary Inspirals |
| Abstract Type: Poster |
| Abstract Category: High Energy Phenomena, Fundamental Physics and Astronomy |
| Author(s) and Co-Author(s) with Affiliation: Mohd Asim Ansari(Inter-University Centre for Astronomy and Astrophysics, Pune - 411007, India), Shasvath J. Kapadia(Inter-University Centre for Astronomy and Astrophysics, Pune - 411007, India) |
| Abstract: Gravitational-wave observations offer a powerful probe of the astrophysical environments in which compact binary coalescences form. Binaries evolving in external gravitational potentials can experience line-of-sight acceleration, introducing characteristic phase corrections in the inspiral waveform. While such effects have been studied primarily for quasi-circular binaries, realistic systems may retain small orbital eccentricities in the detector band. In this work, we derive the frequency-domain gravitational-wave phase correction due to constant line-of-sight acceleration for mildly eccentric compact binaries, incorporating post-Newtonian corrections up to 3.5 PN order. We show that acceleration-induced phase modulations can mimic the effects of small eccentricity, leading to strong parameter degeneracies when eccentricity is neglected. However, genuine eccentric waveform features break this degeneracy, enabling independent parameter recovery. |