Question

Relation between escape velocity nd orbital velocity of satellite

Answer 1

To derive with a relation between escape velocity and orbital velocity:

• Orbital velocity (V₀) is given by the formula : √(GM / R)

• Escape velocity is given by the formula  : √ (2GM / R)

( Where 'G' represents Universal Gravitational constant, 'M' represents Mass of the massive body, and 'R' represents the radius of the body (spherical))..

Escape velocity :  √ (2GM / R) -

It can be further written as:

√2 × √(GM / R); where √(GM / R) can be replaced by Orbital velocity :-

So, it is nothing, but: escape velocity = √2 (V₀)..

Hence, it can be concluded that:  Escape velocity = √2 ( Orbital velocity)