Question

V0/Ve=1/√2relation between orbital and escape velocity ​

Answer 1

Ve2=2gr

Vo2=gr

Ve2=2Vo2

Hence, Ve=21/2 Vo (Here r=Re +h ; if h

Orbital velocity is the speed that an object must maintain in order to orbit another object. Escape velocity is the speed at which an object would break orbit. Escape velocity must be square-root of 2 times larger than the orbital velocity in order to break orbit. (l) If the velocities are equal, the object will stay in a constant orbit, not changing in elevation. (ll) less than orbital the orbit will decay and the object will crash. (lll) more than orbital and the object will have an accending orbit and fly off into space.