Suppose there existed a planet that went around the sun twice as f | Filo

Class 11

Physics

Modern Physics

Gravitation

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150

Suppose there existed a planet that went around the sun twice as fast as the earth.What would be its orbital size as compared to that of the earth ?

Solution:
Time taken by the Earth to complete one revolution around the Sun,
year
Time taken by the planet to complete one revolution around the Sun,
Orbital radius of the planet = Rp
From Kepler’s third law of planetary motion, we can write:

Hence, the orbital radius of the planet will be 0.63 times of the Earth.
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