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arXiv · 1806.06635

Gravitational self-force corrections to tidal invariants for particles on eccentric orbits in a Schwarzschild spacetime

Donato Bini·Andrea Geralico
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Abstract

We study tidal effects induced by a particle moving along a slightly eccentric equatorial orbits in a Schwarzschild spacetime within the gravitational self-force framework. We compute the first order (conservative) corrections in the mass-ratio to the eigenvalues of the electric-type and magnetic-type tidal tensors up to the second order in eccentricity and through the 9.5 post-Newtonian order. Previous results on circular orbits are thus generalized and recovered in a proper limit.

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Donato Bini, Andrea Geralico. 2018-06-18. Gravitational self-force corrections to tidal invariants for particles on eccentric orbits in a Schwarzschild spacetime. https://doi.org/10.1103/physrevd.98.064026

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