Question : The period of revolution of a certain planet in an orbit of radius R is T. Its period of revolution in an orbit of radius 4R will be:
Option 1: 8T
Option 2: 4T
Option 3: 2√2T
Option 4: 2T
Correct Answer: 8T
Solution : The correct option is 8T .
Kepler's third law, which connects the period (T) of revolution to the radius (R) of the orbit, governs the period of revolution of a planet in a circular orbit. According to Kepler's third law, the radius of the circular orbit in this instance is equal to the cube of the semi-major axis, and the square of the period of revolution.
The period of revolution in an orbit with a radius of 4R will be 8 times the original period.
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