Towards nanoarcsecond astrometry: modeling of light propagation in the gravitational field of the Solar system

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In the view of future developments in the field of high-accuracy astrometry it is important to understand how relativistic models of light propagation can reach the accuracy of 1 nanoarcsecond. First steps towards a consistent general-relativistic theory of light propagation with an accuracy of 1 nanoarcsecond will be done. A theory of light propagation in the gravitational field of moving bodies of arbitrary shape and structure will be formulated in the first post-Minkowskian approximation. The post-post-Minkowskian effects will be assessed and, at least partially, investigated.