A spy satellite `S_(1),` travelling above the equator is taking pictures at quick intervals. The satellite is travelling from west to east and is ready with picture around the whole equator in 8 hours. Another similar satellite `S_(2),` travelling in the same plane is travelling from east to west and is able to take pictures around the whole equator in 6 hours. Find the ratio of radii of the circular paths of the satellite `S_(1)` and `S_(2).`

Answer

`(r_(1))/(r_(2))=(3/4)^(2//3)`