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Approach to the separatrix with eccentric orbits

by Guillaume Lhost, Geoffrey Compère

Submission summary

Authors (as registered SciPost users): Guillaume Lhost
Submission information
Preprint Link: https://arxiv.org/abs/2412.04249v1  (pdf)
Code repository: https://github.com/gcompere/Approach-to-the-separatrix-with-eccentric-orbits?tab=readme-ov-file
Data repository: https://github.com/gcompere/Approach-to-the-separatrix-with-eccentric-orbits?tab=readme-ov-file
Date submitted: 2024-12-17 14:03
Submitted by: Lhost, Guillaume
Submitted to: SciPost Physics Core
Ontological classification
Academic field: Physics
Specialties:
  • Gravitation, Cosmology and Astroparticle Physics
  • High-Energy Physics - Theory
Approaches: Theoretical, Computational

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 $W_{-1}$ function as a key mathematical ingredient in the approach to the separatrix.

Current status:
In refereeing

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