Newton's work and satellite motion?
A satellite has a period of 90 minutes around the Earth. Using Newton’s Law of Gravitation and explain how the altitude of the satellite can be found and calculate the value given that the Earth’s radius is 6380km.
- VamanLv 73 years ago
Use the formula
r omega²= G M/r²
Period = 2pi/omega, This gives omega= 2 pi/(90*60) Now to find GM. We know
GM/Earth radius²= g, GM= earth radius²*g=ro²*g
r omega² = ro² g/r². Put r in terms of ro. This is r/ro =l
l³ ro= g /omega²,
l³=1.13, l=1.04 . That means the distance of the satellite is
R=6645.3 km. please check the answer.