what is orbital velocity and show that it does not depend on the mass of the body
Dear Student
The orbital velocity of a body is the velocity with which it orbits around the planet.
Orbital speed and time period of satellite
Orbital speed − Speed required to put the satellite into a given orbit around earth
Let
ME = Mass of earth
RE = Radius of earth
h = Height of the satellite
v = Orbital speed of the satellite
m = Mass of the satellite
r = RE + h = Radius of the orbit of the satellite
The satellite revolves around the planet in a circular orbit; the gravitational pull provides the required centripetal force to the satellite.
The value of g on the surface of earth is given by,
This is clearly independent of the mass of the body.
Regards