017. Classical Mechanics (Stellar Dynamics)
In Keplar’s Thrid law, the square of the orbital period of a planet is proportional to the cube of the semi-major axis of its orbit.
where is the orbital period, and is the semi-major axis of the planet.
For system 1 the radius of the orbit is , and for system 2 the radius of the orbit is .
The ratio of the period of system 1 and 2 can be described as