1.

Find the ratio of the orbital speeds to two satellites of the earth if the satellites are at height 6400 km and 19200 km. (Radius of the earth = 6400 km).

Answer»

SOLUTION :Orbital SPEED `V_(0) = sqrt((GM)/(R+h))`
The ratio of the orbital speeds of two satellites around the earth is
`(V_(01))/(V_(02)) = sqrt((R+h_(2))/(R+h_(1)))`
Where `h_(1)` and `h_(2)` are the heights of the satellites
In this problem `h_(1) = 6400 km, h_(2) = 19200 km, R = 6400 km`.
`(V_(01))/(V_(02)) = sqrt((6400)/(12800)) = sqrt((25600)/(12800)) = (sqrt(2))/(1)`


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