Imagine another solar system, with a star more massive than the Sun. Suppose a planet with the same mass as Earth orbits at a distance of 1 AU from the star. How would the planet's year (orbital period) compare to Earth's year?

The planet and the Earth has the same orbital period.

Explanation:

The period can be determined by means of Kepler's third law:

 (1)  

Where T is the period of revolution and r is the orbital radius.

(2)

An astronomical unit (AU) is the distance between the Earth and the Sun ().

Then, replacing that value in equation 2 it is gotten:

But 1 year is equivalent to 1 AU according to Kepler's third law since 1 year is the orbital period of the Earth.

⇒

Hence, the planet and the Earth has the same orbital period.

Summary:

The planet takes the same time as the Earth to go around its host star.

unlike poles attract