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For an object of mass the energy required to escape the Earth's gravitational field is GMm / r, a function of the object's mass (where r is the radius of the Earth, G is the gravitational constant, and M is the mass of the Earth, M =5.9736Ã10 24 kg).or a mass equal to a Saturn V rocket, the escape velocity relative to the launch pad is 253.5 am/s (8 nanometers per year) faster than the escape velocity relative to the mutual center of mass.
The official name for this speed is called the escape velocity. If a spacecraft is launched from a pad on the surface of the earth with this speed or greater, it will escape the Earth's gravitational field. The escape velocity can be calculated from the Earth's mass, its radius, and Newton's gravitational constant G: v_esc=sqrt(2*G*M/R). It is assumed for that formula that air resistance doesn't slow down the spacecraft (a very wrong assumption).