## Abstract

We investigate the gravitational self-force effect on eccentric orbits in Schwarzschild spacetime. We derive the formulas of the post-geodesic corrections in some gaugeinvariant quantities (e.g. the fundamental frequencies) in terms of the metric perturbation and the self-force in the Lorenz gauge. With the derived formulas and the numerical data obtained by the self-force calculation code we developed recently, we evaluate these corrections numerically for some sets of orbital parameters. In the circular limit, we find a gauge-invariant relation between the conservative correction in the periapsis advance and the dimensionless gravitational potential. This relation is used to explore both weak-field and strong-field aspects of the Effective One Body formalism.

Original language | English |
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Pages | 327-330 |

Number of pages | 4 |

Publication status | Published - 2010 |

Externally published | Yes |

Event | 20th Workshop on General Relativity and Gravitation in Japan, JGRG 2010 - Kyoto, Japan Duration: Sept 21 2010 → Sept 25 2010 |

### Other

Other | 20th Workshop on General Relativity and Gravitation in Japan, JGRG 2010 |
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Country/Territory | Japan |

City | Kyoto |

Period | 9/21/10 → 9/25/10 |

## All Science Journal Classification (ASJC) codes

- Atomic and Molecular Physics, and Optics