Let us assume that the solar system is moving towards the constellation Lyra among the stars, motionless relative to each other

Let us assume that the solar system is moving towards the constellation Lyra among the stars, motionless relative to each other and located at the same distance from the Sun. By what law should the values of the observed radial velocities and proper motions of stars change as a function of their apparent angular distance l from the apex?

The radial velocities would vary in proportion to cos l, and proper motions would vary in proportion to sin l.

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