Question

Scientists wish to place a geosynchronous satellite near a moon at an altitude of 410 km. The mass of the moon is 7.36 3 1022 kg and it has a radius of 1.74 3 106 m. Calculate the velocity and the period of the satellite.

Answer 1

ANS.

1.68×103m/sec

SOLUTION

Mass (m)=7.34×1022

Radius (R)=1.74×106

Ve=2GMR−−−−−√

Ve=6.67×10−11×7.34×10221.74×106−−−−−−−−−−−−−−−−−−−−−√

Ve=48.98716×10111.74×106−−−−−−−−−−−−−√

Ve=28.1535×105−−−−−−−−−−−√

Ve=1.68×103m/sec