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We calculate the 2 post-Newtonian correction to the radiation reaction acceleration for non-spinning binary systems, which amounts to the 4.5 post-Newtonian correction to Newtonian acceleration.
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Energy losses by gravitational radiation in inspiraling compact binaries to five halves post-Newtonian order
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Post-Newtonian gravitational radiation and equations of motion via direct integration of the relaxed Einstein equations. III. Radiation reaction for binary systems with spinning bodies
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Radiation reaction for spinning bodies in effective field theory I: Spin-orbit effects
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Conservative dynamics of binary systems to fourth Post-Newtonian order in the EFT approach II: Renormalized Lagrangian
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Second post-Newtonian order radiative dynamics of inspiralling compact binaries in the Effective Field Theory approach
Adam K. Leibovich, Natalia T. Maia, Ira Z. Rothstein, and Zixin Yang · 2020
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Second post-Newtonian order radiative dynamics of inspiralling compact binaries in the effective field theory approach
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Next-to-leading order spin-orbit effects in the equations of motion, energy loss and phase evolution of binaries of compact bodies in the effective field theory approach
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Gravitational radiation from inspiralling compact objects: Spin-spin effects completed at the next-to-leading post-Newtonian order
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Gravitational radiation from inspiralling compact objects: Spin effects to the fourth post-Newtonian order
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