TY  - JOUR
PB  - SciPost Foundation
DO  - 10.21468/SciPostPhysCore.8.3.059
TI  - Approach to the separatrix with eccentric orbits
PY  - 2025/08/29
UR  - https://www.scipost.org/SciPostPhysCore.8.3.059
JF  - SciPost Physics Core
JA  - SciPost Phys. Core
VL  - 8
IS  - 3
SP  - 059
A1  - Lhost, Guillaume
AU  - Compère, Geoffrey
AB  - 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 $W_{-1}$ function as a key mathematical ingredient in the approach to the separatrix.
ER  -

@Article{10.21468/SciPostPhysCore.8.3.059,
	title={{Approach to the separatrix with eccentric orbits}},
	author={Guillaume Lhost and Geoffrey Compère},
	journal={SciPost Phys. Core},
	volume={8},
	pages={059},
	year={2025},
	publisher={SciPost},
	doi={10.21468/SciPostPhysCore.8.3.059},
	url={https://scipost.org/10.21468/SciPostPhysCore.8.3.059},
}