Callisto is a moon of Jupiter (mass = 1.90 x 1027 kg), which orbits the planet with a period of 16.9 days. What is the radius of its orbit?

The radius of its orbit = 8.27 x 10¹³ m

Given

mass Jupiter=1.9 x 10²⁷ kg

T = 16.9 days=1.46 x 10⁶ s

Required

the radius =r

Solution

To hold the moon in its orbit, the gravitational force between two objects (jupiter and moon) will be equal to the centripetal force

G = 6.67 x 10⁻¹¹ N/m²kg²

Input the value :

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answer: 31, 5556. 952 seconds