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Abstract

Propagation direction of light in parametrized post-post-Newtonian approximation

An analytical expression for the propagation direction of a photon is obtained in the post-post-Newtonian approximation for a 3-parameter family of static spherically symmetric space-times. This expression is straightforwardly derived from the so-called time transfer function already given in some of our previous works. The result is compared with the solution recently found by Klioner and Zschocke integrating the null geodesic equations in harmonic gauge. It is confirmed that one (and only one) post-post-Newtonian term is relevant at the level of 1 microarcsecond accuracy in the Solar System.

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