I consider eccentric orbits of a small body (or particle) about a? Schwarzschild black hole.?The geodesic motion of the particle serves? to source the?first-order field equations. These equations have typically? been solved?in either the Lorenz or Regge-Wheeler-Zerilli gauge. The former? is advantageous because?many self-force calculations (e.g., mode-sum? regularization) were originally?formulated in the Lorenz gauge. The latter has? the advantage of being a more?efficient gauge for solving the field? equations numerically.

I will present work from an ongoing effort to use solutions in the Regge-Wheeler-Zerilli?gauge to perform self-force calculations. The central? idea is to use the?local knowledge of the solutions to analytically construct? a gauge vector which?pushes those solutions to a gauge that is more? regular and has a similar?local structure to the Lorenz gauge.