On reliability of determining the orbital parameters of exoplanets by the Doppler method

As a part of the program of searching for exoplanets, the hypothetical influence of changeable velocity of light (due to parameters of motion of a radiation source) on the results of spectrometric measurements of stars is considered. Accelerations of stars relative to the barycenter of a system star-planet (planets) are taken into account. It is shown that the dependence of velocity of light on the barycentric radial velocity and on the component of barycentric radial acceleration of stars should result in significant increase (up to an order of magnitude) of semimajor axes of the found candidates for exoplanets. Consequently, a correct comparison of the spectral method with other known modern methods of finding exoplanets would allow one to use the results obtained in this paper as a reliable test for inspection of invariance of the velocity of light.