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Motion In Straight Line

Question
CBSEENPH11017837

Compare and differentiate orbital velocity and escape velocity? 

Solution
S. No. Orbital Velocity Escape velocity
1. The minimum velocity required to put the satellite into the Earth's orbit is called orbital velocity.  The minimum velocity required to throw a body out of the gravitational field of earth is called escape velocity. 
2.  Orbital velocity of a satellite at height, straight v subscript straight o space equals space square root of fraction numerator GM over denominator straight R space plus space straight h end fraction end root Escape velocity of a satellite near the Earth, vesquare root of fraction numerator 2 GM over denominator straight R end fraction end root
3. When satellite is orbiting close to earth, vosquare root of GM over straight R end root space equals space fraction numerator v subscript o over denominator square root of 2 end fraction Escape velocity f a satellite near the earth, vesquare root of 2 gR end root