Question

Consider a Star with three planets orbiting it with circular orbits and constant orbital speeds. The planets all have the same mass, but different orbital radio (r for m1, 2r for m2, and 3r for m3) and different speeds.   

A.) If the relationships of the centripetal forces are known to be F1<F2<F3, then what is the relationship between the velocities? I’m looking for the form (Av1<Bv2<Cv3).

Is it, 1v1<4v2<16v3?

B.) If the relationship of the periods are known to be T2>T1>T3, then what is the relationship between the velocities? I am looking for the form (Av2>Bv1>Cv3).

Thank you.

Answer 1

Please rate it up thanks :)