From Kepler's third law, a hypothetical planet that is twice as far from the Sun as Earth should have a period of
A)more than 2 Earth years.
B)1/2 Earth year.
C)2 Earth years.
D)1 Earth year.
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 a planet is twice as far from the Sun as Earth, its orbital period would be the square root of 2^3 (which is 8) times the Earth's period, meaning it would take more than 2 Earth years to complete one orbit.

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