The theory of general relativity in radio-astronomical observations

The relativistic theory of astronomical coordinate systems is applied to derive data processing formulas for radio-interferometric observations of quasars and for Doppler and radar measurements inside the solar system. The calculations use the barycentric, geocentric, topocentric and/or satellite coordinate systems, generalizing Poincare's transformation formulas of special relativity theory in the case of curved space-time. Measurable relativistic effects are caused by the gravitational fields of the sun and planets and aberration corrections, which are obtained from the coordinate transformation formulas. Post-Newtonian and post-post-Newtonian relationships are obtained.