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An ariticial satellite (mass =M) of eart...

An ariticial satellite (mass `=M`) of earth revolves in a circular orbit whose radius is `4` times the radius of the earth. Assume that in the spherical region between the radius `4R_(e )` and `2R_(e )` there is cosmic dust. If mass of the satellite is increasing at the rate of `u` per sec. Find the time in which satellite will come to orbit of radius `2R_(e )`.

Text Solution

Verified by Experts

The correct Answer is:
`(M)/(u)(sqrt(2)-1)`
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