Séminaire / Seminar GReCO |
| « Dynamics of Spinning, Eccentric Binary Black Holes at Second Post-Newtonian Order » |
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Tom Colin |
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Recent gravitational-wave observations exhibiting orbital eccentricity and spin precession highlight the need for accurate models of binary black holes that incorporate both effects simultaneously. This challenge is particularly pressing for future space-based detectors such as LISA, where data analysis will rely on waveform templates that are both highly accurate and computationally efficient. Analytical solutions are therefore especially valuable, as they can offer significant speed advantages over numerical approaches.
In this talk, I present an analytical framework for the conservative dynamics of spinning, eccentric binaries at second post-Newtonian (2PN) order. The key idea is to exploit the natural separation of timescales between the fast orbital motion and the slower secular spin evolution. By orbit-averaging the equations of motion, we isolate and solve for the secular spin dynamics while filtering out rapid orbital oscillations. We then reintroduce the leading-order spin–orbit effects through a hybrid approach that captures the dominant oscillatory behavior. Finally, using an appropriate ansatz, we solve for the orbital motion and construct a quasi-Keplerian parametrization of the system at 2PN order. This framework provides a fully analytical description that is well suited for fast and accurate waveform modeling in future gravitational-wave observations. |
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lundi 11 mai 2026 - 11:00 Salle des séminaires Évry Schatzman Institut d'Astrophysique de Paris |
| Pages web du séminaire / Seminar's webpage |