A satellite revolves round a planet in an elliptical orbit. Its maximum and minimum distance from planet are `1.5xx10^(7)` metre and `0.5xx10^(7)` metre respectively. If the speed of the satellite at the farthest point is `5xx10^(3)m//s`. Calculate the speed at the nearest point.

Explanation

The angular momentum of the satellite about the planet is constant.

`thereforemv_(1)r_(1)=mv_(2)r_(2)`
(or) `v_(1)r_(1)=v_(2)r_(2)`
`therefore` Speed at nearest part
`v_(1)=(v_(2)r_(2))/(r_1)=(5xx10^(3)xx1.5xx10^(7))/(0.5xx10^(7))`
`therefore" "v_(1)=1.5xx10^(4)m//s`