Is it possible, in principle, by systematic measurements of the radial velocities of numerous stars produced over a long period, to establish the curvilinearity of the motion of the solar system in space?
Yes, since in the case of such a curvilinear motion, the radial velocities of stars must undergo a slow systematic change, which is different for stars located in different directions, since the direction of the Sun’s velocity vector will rotate relative to the stars, and their observed velocity relative to the Sun is the resultant of the Sun’s velocity and spatial the speed of the star.
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