# Gravity in binary systems at the fifth and sixth post-Newtonian order

@article{Blumlein2022GravityIB,
title={Gravity in binary systems at the fifth and sixth post-Newtonian order},
author={Johannes Blumlein and Andreas Maier and Peter Marquard and Gerhard Schāfer},
journal={Proceedings of Loops and Legs in Quantum Field Theory — PoS(LL2022)},
year={2022}
}
• Published 9 August 2022
• Physics
• Proceedings of Loops and Legs in Quantum Field Theory — PoS(LL2022)
Binary sources of gravitational waves in the early inspiral phase are accurately described by a post-Newtonian expansion in small velocity and weak interaction. We compute the conservative dynamics to ﬁfth and partial sixth order using a non-relativistic eﬀective ﬁeld theory. We give predictions for central observables and determine the required coeﬃcients for the construction of an Eﬀective One-Body Hamiltonian, extending the applicability of our results to the late inspiral and merger phases.

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