An asteroid has been discovered revolving around the Sun on a circular orbit with radius 4.2 times the radius of the Earth's orbit around the Sun (which is about 149.6 million kilometers).Knowing that it takes the Earth 1 year to complete a revolution,how many years does it take for that asteroid?

Question

Quizplus · Accepted Answer

According to Kepler's third law, the square of the orbital period is proportional to the cube of the semi-major axis of its orbit. If the asteroid's orbit radius is 4.2 times that of Earth's, then its period is √(4.2^3) ≈ 8.6 years.

An Asteroid Has Been Discovered Revolving Around the Sun on a Circular