BN6  PostNewtonian and Analytic Approximations 
Speaker 
Faye, Guillaume 
Coauthors 
Blanchet, Luc; Whiting, Bernard F. 
Talk Title 
Highorder halfintegral postNewtonian coefficients in the redshift factor of blackhole binaries on circular orbits 
Abstract 
Direct comparison of expressions obtained in the postNewtonian approximation scheme and in the selfforce approach, constructed specifically for relativistic particles in the extreme massratio limit, enables preliminary confirmation of the foundations of both computational methods. Recently, the redshift factor of a blackhole binary moving on exactly circular orbits has been determined by means of selfforce techniques to very high accuracy, in the form of a postNewtonian (PN) expansion. It was shown, interestingly, to contain halfintegral PN terms although the dynamics is strictly conservative. Those terms, first arising at the 5.5PN order, actually originate from the socalled "tailoftail" integrals. Using the general postNewtonian iterative algorithm in harmonic coordinates, we shall discuss their nature and show how to compute them at the nexttonexttoleading order. 
Talk view 

