Mathematical modeling of relativistic corrections for precision laser ranging with the OZIRIS spacecraft

A mathematical model is constructed for the motion of an electromagnetic pulse used in laser ranging of the OZIRIS spacecraft. A formula is derived for the calculation of corrections to the distance of the spacecraft associated with the non-inertial motion of the laser station and the influence of the gravitational field of the Earth on the laser pulses. It is shown that these corrections must be taken into account when carrying out precision laser ranging of the spacecraft with the goal of distance determination to within 20 cm or better.