Abstract
Study of the trajectories of the motion of satellites
remains an urgent task for modern science. This is especially true
for GNSS systems and for satellites intended for Earth remote
sensing. The basis of their operation is to accurately determine the
position of the satellite, and the parameters of signal propagation.
Considering the great distances and speeds of both satellites and
the Earth in calculating these parameters, it is necessary to take
into account the special and general theory of relativity. In the
article formulas have been derived for calculating additional
corrections for relativistic effects. A mathematical model for
calculating the metric tensor was created. A sequence of correction
was also proposed.
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