From Kepler's third law,a hypothetical planet that is twice as far from the Sun as Earth should have a period of
A)1/2 Earth year.
B)1 Earth year.
C)2 Earth years.
D)more than 2 Earth years.
E)It depends on the planet's mass.

Question

Quizplus · Accepted Answer

Kepler's third law states that the square of the orbital period of a planet is directly proportional to the cube of the semi-major axis of its orbit. If the distance is doubled, the period increases by the cube root of 2^3, which is 2^3/2 = 8^(1/2) = √8, which is more than 2 Earth years.

From Kepler's Third Law,a Hypothetical Planet That Is Twice as Far