Papers › Approach to the separatrix with eccentric orbits

Approach to the separatrix with eccentric orbits

5 Dec 2024arXiv:2412.04249links table onlyarchive 2025-07-28

Guillaume Lhost, Geoffrey Compère

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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.

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