Work

Approach to the separatrix with eccentric orbits

Year: 2025
Type: article
Abstract: Eccentric binary compact mergers are prime targets of current and future gravitational wave observatories. In the small mass ratio expansion, post-adiabatic inspirals have been modeled up to the separatrix, where first-principle modeling currently ends. In this paper, we derive the analytic late time solution to the adiabatic inspiral in terms of self-force coefficients at the separatrix. We identify the role of the Lambert W_{-1} W − 1 function as a key mathematical ingredient in the approach to the separatrix.
Language: English
Open Access status: diamond
OpenAlex ID: W4413827901
FWCI: 3.654
Cites: 48
Cited by: 8
Related to: 10