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Detweiler’s gauge-invariant redshift variable: Analytic determination of the nine and nine-and-a-half post-Newtonian self-force contributions

Detweiler’s gauge-invariant redshift variable: Analytic determination of the nine and nine-and-a-half post-Newtonian self-force contributions

Continuing our analytic computation of the first-order self-force contribution to Detweiler’s redshift variable we provide the exact expressions of the ninth and ninth-and-a-half post-Newtonian terms.Received 24 February 2015DOI:https://doi.org/10.1103/PhysRevD.91.064050© 2015 American Physical Society