A satellite is at a distance `r_(1)` from the centre of the earth at its apogee. The distance is `r)(2)` when it is at perigee. Mass of the earth is M. Calculate the maximum speed of the satellite in its orbit around the earth. Estimate the maximum speed of the moon going around the earth. For moon `r_(1)underset-~400,000km" " "and"" " r_(2)underset-~360,00km`

Answer

`(a) sqrt((2GM)/(r_(2))(1+1/((r_(2)//r_(1)))))`
(b) 1.08 km/s