Consider a planet with a radius of 4,000 km. Moons of the same density as the planet will break up if their orbits move within what distance of the planets center?
A. 2,400 km
B. 4,800 km
C. 9,600 km
D. 19,200 km
We solve the given problem by Roche limit.
Roche limit :
It is the shortest or a closest distance within which a a celestial body held together by a self gravity.
Roche limit is also known as a Roche radius
We use the following formula for Roche limit.
Therefore the distance of the planets Center is 9600 km
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