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Approach to the separatrix with eccentric orbits

par Lhost, Guillaume;Compère, Geoffrey
Référence SciPost physics core, 8, 3
Publication Publié, 2025-08-01

Article révisé par les pairs

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Résumé :

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.