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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 | |
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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 | |
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Academic field: | Physics |
Specialties: |
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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