A satellite is in an elliptical orbit at altitudes ranging from 220 km to 900 km. At its highest point, its moving at 7.43 km/s. How fast is it moving at the lowest point?
let
r1 = Re + h1
= 6.37*10^6 + 220*10^3
= 6.59*10^6 m
r2 = Re + h2
= 6.37*10^6 + 900*10^3
= 7.27*10^6 m
v2 = 7.43 km/s
v1 = ?
let m is the mass of satellite.
apply conservation of angular momentum
m*v1*r1 = m*v2*r2
==> v1 = v2*(r2/r1)
= 7.43*(7.27*10^6)/(6.59*10^6)
= 8.20 km/s <<<<<<<<<----------------Answer
A satellite is in an elliptical orbit at altitudes ranging from 220 km to 900 km....
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