Spectrometric method for detecting exoplanets as another test to verify the invariance of the velocity of light

This paper analyzes the hypothetical influence of variability in the velocity of light associated with the motion parameters of a source on the results of spectral measurements of stars within an exoplanet search program. The accelerations of stars relative to the barycenter of the host star-planets system are taken into account. The dependence of the velocity of light on the barycentric radial velocity and the radial acceleration components of the barycentric stars is shown to lead to a substantial increase (up to an order of magnitude) in the semimajor axes of the orbits of detected candidate extrasolar planets. Consequently, a correct comparison of the spectral method with other well-known modern methods for detecting extrasolar planets allows one to consider the results obtained in this paper as a reliable test for the invariance of the velocity of light.