Escape Velocity#!#Orbital Velocity

The ratio of the escape velocity and the orbital velocity is

Planets and satellite||Orbital velocity and Escape Velocity||Energy OF a satellite||Examples

A body is thrown with a velocity equal to n times the escape velocity (v_(e)) . Velocity of the body at large distance away will be :-

Escape velocity on the earth

Planets and Satellite||Time Period||Orbital Velocity||escape velocity

If upsilon_e denotes escape velocity and V_0 denotes orbital velocity of a satellite revolving around a planet of radius R, then

Assertion : Orbital velocity of a satellite is greater than its escape velocity. Reason : Orbit of a satellite is within the gravitational field of earth whereas escaping is beyond the gravitational field of earth.

A projectile is fired from the surface of earth of radius R with a velocity etav_(e) where v_(e) is the escape velocity and eta lt 1 . Neglecting air resistance, the orbital velocity of projectile is -