The escape velocity in a circular orbit is the minimum velocity required for an object to completely escape the gravitational pull of a celestial body, such as a planet or a star, and move away indefinitely.
The formula for escape velocity in a circular orbit is given by:
v_escape = sqrt(2 * G * M / r)
Where: v_escape is the escape velocity G is the gravitational constant (approximately 6.67430 x 10^-11 m^3 kg^-1 s^-2) M is the mass of the celestial body r is the distance between the center of the celestial body and the object
It's important to note that this formula assumes the object is launched from the surface of the celestial body. If the object is already at a certain altitude, the value of r should be the sum of the radius of the celestial body and the altitude.
The escape velocity represents the minimum speed necessary for an object to overcome the gravitational force pulling it inward and achieve an unbounded trajectory away from the celestial body.