Light propagation in the gravitational field of one arbitrarily moving pointlike body in the 2PN approximation

Sven Zschocke

Published 2016-12-07Version 1

An analytical solution for the light trajectory in the near-zone of the gravitational field of one pointlike body in arbitrary slow-motion in the post-post-Newtonian approximation is presented in harmonic gauge. Expressions for total light deflection and time delay are given. The presented solution is a further step toward high-precision astrometry aiming at nano-arcsecond level of accuracy.