The orbital velocity of a body is the velocity at which it revolves around the other body. The objects that travel around the Earth in uniform circular motion are said to be in an orbit. The velocity of this orbit depends on the distance between the object under consideration and the center of the earth. This velocity is usually associated with artificial satellites because they can revolve around any particular planet.
The Orbital Velocity Formula is used to calculate the orbital velocity of an object if its mass and radius are known. All rights reserved. Home Dictionary Meanings Orbital-velocity Orbital-velocity meaning. Filters 0. The minimum velocity required to place or maintain a satellite in a given orbit. The following steps can be followed to derive an expression for the orbital velocity of a satellite revolving in an orbit.
For orbital speed derivation, both the gravitational force and centripetal force are very important. Gravitational force Fg is the force exerted by the body at the center to keep the satellite in its orbit. Centripetal force Fc justifies the existence of circular motion. For this derivation, we will assume a uniform circular motion. Therefore, for an object in orbit, both these forces will be equal. Now, as we know gravitational force depends on the masses of both objects and it's formula is:.
G is the gravitational constant, M is the mass of the central body, and m is the mass of the revolving body, and r is the distance between the two bodies. Also, the centripetal force is related to mass and acceleration, and the formula for which is given by:. Now, putting both of these equations in 1 ,. We get,. And henceforth,.
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