What are (a) the speed and (b) the period of a `220kg` satellite in an approximately circular orbit `640km` above the surface of the earth? Suppose the satellite loss mechanical energy at the average rate of `1.4 xx 10^(5) J` per orbital revolution Adopting the reasonable approximation that due to atmospheric resistance force the trajectory is a circle of slowly dimnishing radius Determine the satellite's (c) altitude (d) speed & (e) period at the end of its `1500^(th)` revolution `(f)` Is angular momentum around the earth 's centre consered for the satellite or the satellite earth system .

Answer

`(a) `(448)/(sqrt(3520))km//s=7.527km//s`
(b) `(220pi)/(7)sqrt(3520)sec~~1.63hour`
(c) `[(22 xx 14 xx 64^(2) xx 7040)/(22 xx 14 xx 64^(2) + 7040 xx 6)]km~~411.92 km`
(d) `(448)/(sqrt(3406))km//sec~~7.67km//s`
(e) `(1703pi)/(56) sqrt(3406) sec ~~ 1.55hour`
(f) No .