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In this investigation the light propagation in the gravitational field of onearbitrarily moving body with monopole structure is considered in the secondpost-Newtonian approximation. It is found that the light trajectory depends onthe acceleration of the body. Some of these acceleration terms are important inorder to get well-defined logarithmic functions with dimensionless arguments,while all the other acceleration terms are negligible on the pico-second levelof accuracy in time-delay measurements. The expressions of the observablestotal light deflection and time delay are determined.

Light propagation in 2PN approximation in the field of one moving monopole: I. Initial value problem