ESCAPE AND ORBITAL VELOCITIES _ PART 01

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ESCAPE AND ORBITAL VELOCITIES: Orbital velocity:The velocity required for an object to revolve around a planet in a circular orbit is called orbital velocity.It is denoted by Vo.
Expression for orbital velocity :Let us consider an object of mass satellite to revolve around a planet earth of mass 'M' and around radios 'R'.The expression gives us the orbital velocity of a satellite revolving around a planet at a height 'h'.Here (R+h) is called the orbital radius. Orbital velocity does not depend upon the mass of the object. It depends the mass of the planet, radius of the planet and height of the object from the surface. When 'h' is very small when compared to the radius of the planet R, then (R+h) becomes 'r'.
Escape velocity:The minimum vertical velocity required for an object to escape from the gravitational influence of a planet is known as escape velocity. It is denoted by ve
Expression for escape velocity:Consider a body (rocket) of mass 'm' on the surface of the planet (earth) of mass 'm' and radius 'R'.
To find the minimum velocity, ve which will cause the rocket to escape the Earth's gravity, assume K E of distant rocket is also equal to zero.

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