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arXiv · 1206.7087

The dynamics of the gravitational two-body problem at fourth post-Newtonian order and at quadratic order in the Newton constant

Stefano Foffa·Riccardo Sturani
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Abstract

We derive the conservative part of the Lagrangian and the energy of a gravitationally bound two-body system at fourth post-Newtonian order, up to terms quadratic in the Newton constant. We also show that such terms are compatible with Lorentz invariance and we write an ansatz for the center-of-mass position. The remaining terms carrying higher powers of the Newton constant are currently under investigation.

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Stefano Foffa, Riccardo Sturani. 2012-11-23. The dynamics of the gravitational two-body problem at fourth post-Newtonian order and at quadratic order in the Newton constant. https://doi.org/10.1103/physrevd.87.064011

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