Suppose there existed a planet that went around the sun twice as fast as the earth.What would be its orbital size as compared to that of the earth ?
Time taken by the Earth to complete one revolution around the Sun,
Time taken by the planet to complete one revolution around the Sun,
Orbital radius of the planet = Rp
From Kepler’s third law of planetary motion, we can write:
Hence, the orbital radius of the planet will be 0.63 times of the Earth.