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Continuing our analytic computation of the first-order self-forcecontribution to the "geodetic" spin precession frequency of a small spinningbody orbiting a large (non-spinning) body we provide the exact expressions ofthe tenth and tenth-and-a-half post-Newtonian terms. We also introduce a newapproach to the analytic computation of self-force regularization parametersbased on a WKB analysis of the radial and angular equations satisfied by themetric perturbations.

Analytic determination of high-order post-Newtonian self-force contributions to gravitational spin precession