Answer to Question #103145 in Astronomy | Astrophysics for Cynthia

Question

For Kepler's period law, what is the relation if T and R is respectively the period of revolution of the planet about the sun and distance of the planet from the sun?

Answer 1

For Kepler's period law

$$\frac{T^2}{R^3}=\frac{4\pi^2}{GM_S}$$

$$\frac{T^2}{R^3}=\frac{4\pi^2}{(6.67\cdot 10^{-11})(1.99\cdot 10^{30})}=2.97\cdot 10^{-19}\frac{s^2}{m^3}$$