Question

Astronomers discover an exoplanet, a planet obriting a star other than the Sun, that has an orbital period of 3.69 Earth years in a circular orbit around its star, which has a measured mass of 3.63 x 1030 kg. Find the radius of the exoplanet's orbit. radius: 2.74 x1011

Answer 1

The gravitational force provided by the star is responsible for the centripetal force for the planet for revolution around the star. We use this to find the required radius of the orbit as shown below***********************************************************************************************
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for the planet GM m - men = mwar 72 we com 73 put - we get T = 3.69% 365 X 24X3600 s M= 3.63x10 30 kg and r= 4.36X10111m we