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if the distance of a planet from the satr is increased 3 times its period of revolution will be......​

if the distance of a planet from the satr is increased 3 times its period of revolution will be......​

Grade:12

2 Answers

Rituraj Tiwari
askIITians Faculty 1792 Points
10 months ago
Kepler's third law of planetary motion states that the square of the orbital periodof a planet is proportional to the cube of the semi-major axisof its orbit.
Now as the distance of the planet from the sun increases, the length of the semi-major axis of its orbit will also increase and therefore the period of revolution will also increase.
Dissection Guru
39 Points
10 months ago
From Kepler’s Law, we know T2 proportional to r3 where T is the orbital time period and r is the length of semi major axis. 
 
So, according to your question, r changes to 3r , hence applying Kepler’s Law, the new time period will be 3√3
T being the initital time period. 

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