Question

A planet moves around the sun in nearly circular orbit its period of revolution t depends upon

Answer 1

Explanation:

Centripetal force must be equal to force of the sun on the planet .

centripetal force = mW^2r

force sun exerts on planet = Gmm1/r^2

W(omega)=(2pi)/t

F=Gm1m2/r^2

m1W^2r=Gmm1/r^2

(2(pi)/t)^2=Gm1/r^3

(2(pi))^2/t^2=Gm1/r^3

(2(pi))^2(r^3)=Gm1(t^2)

G is constant and m1 (mass of sun is constant ) and 2(pi) is constant .

t^2α r^3