The minimum amount of mass required to leave orbit around the Sun depends on several factors, including the initial velocity, distance from the Sun, and the gravitational pull of the Sun.
To completely escape the gravitational pull of the Sun and leave its orbit, an object would need to achieve what is called escape velocity. The escape velocity is the minimum velocity required to overcome the gravitational attraction of an object.
For the Sun, the escape velocity at the surface of the Sun is approximately 617.5 kilometers per second (384.6 miles per second) or about 55 times the speed of sound.
In terms of mass, the escape velocity is not directly dependent on the mass of the object trying to escape. Instead, it depends on the mass of the object creating the gravitational field, in this case, the Sun.
To put it simply, any object, regardless of its mass, would need to achieve the escape velocity to leave the Sun's orbit. However, in practice, smaller objects like spacecraft or planets with lower masses would require less energy to achieve escape velocity compared to massive objects like stars.
It's important to note that leaving the Sun's orbit and escaping the Solar System entirely would require even higher velocities and energy due to the gravitational influence of other celestial bodies.