Kepler's Third law relates the orbital period of a planet about its sun to its…

PHYSICS · Single correct · A Level · Physics · Fields and their consequences · Fields and their consequences

Problem

Kepler's Third law relates the orbital period

T

of a planet about its sun to its orbital radius

r

. The mass of the Sun is

M

. What is a correct algebraic form of the law? (A)

T = \frac{2\pi r^{1.5}}{(GM)^{0.5}}

(B)

T = \frac{2\pi r^{1.5}}{GM}

(C)

T = \frac{4\pi r^{0.67}}{(GM)^2}

(D)

T = \frac{4\pi r^{0.67}}{GM}