Respuesta :
Answer:
Explanation:
We know that , for an object to remain in circular motion , a force towards centre is required which is called centripetal force. In the circular motion of
satellites around planet , this force is provided by the gravitational attraction between satellite and planet.
If M be the mass of planet and m be the mass of satellite, G be gravitational constant and R be the distance between planet and satellite or R be the radius of orbit
Gravitational force = G Mm / R²
If v be the velocity with which satellite is orbiting
centripetal force
= m v² /R
Centripetal force = gravitational attraction
m v² /R = G Mm / R²
v = [tex]\sqrt{\frac{GM}{R} }[/tex]
Time period = time the satellite takes to make one rotation
= distance / orbital velocity
= 2πR/ v
= [tex]\frac{2\pi R\sqrt{R} }{\sqrt{GM} }[/tex]
T = [tex]\frac{2\pi R^\frac{3}{2} }{\sqrt{GM} }[/tex]
