Compact binary system dynamics at the second post-Newtonian order: Analytical formula of the coordinate time for eccentric and circular orbits
Year: 2025
Type: article
Abstract: This work is based on our published letter, where we developed the analytical expression of the coordinate time in terms of the eccentric anomaly at the second post-Newtonian (PN) order in general relativity (GR) for a compact binary system moving on eccentric orbits. The aim of this paper is to provide more details about the performed calculations and to produce other new results. More specifically, we focus on deriving the analytical expression of the coordinate time at the second PN order for circular orbits, and then discuss two astrophysical applications involving binary neutron star and black hole systems.
Source: Astronomy and Astrophysics
Authors: Vittorio De Falco, Marco Gallo
Institution: Ministero dell'Istruzione e del Merito
Language: English
Subfield: Astronomy and Astrophysics
Field: Physics and Astronomy
Domain: Physical Sciences
Open Access status: gold
Estimated APC paid: $1,865
OpenAlex ID: W4416801343