Analytic self-force calculations in the post-Newtonian regime: Eccentric orbits on a Schwarzschild background
Analytic self-force calculations in the post-Newtonian regime: Eccentric orbits on a Schwarzschild background
We present a method for solving the first-order field equations in a post-Newtonian (PN) expansion. Our calculations generalize work of Bini and Damour and subsequently Kavanagh et al., to consider eccentric orbits on a Schwarzschild background. We derive expressions for the retarded metric perturbation at the location of the particle …