(Answered) Question a write a expression for the relative velocity

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Question: a) Write a expression for the relative velocity along the line of sight at Galactic longitude for all observed objects at any radius R, in terms of the rotation velocity at that radius V(R), the angle L and our radius R0?

b) prove that for a flat rotation curve V(R) = V0, the maximum observed velocity occurs with an orbit at R=Rmin=R0sin(L), L is the angle.

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