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Escape speed (vesc) the speed an object needs to have at the surface of a planet in order to have enough kinetic energy to escape the planet’s gravitational pull. For an object at orbital radius r (m) about a planet of mass M (kg), the escape speed in m s–1 is given by vesc=2GMr, where G is the universal gravitational constant.
Orbital speed (vorbit) the linear orbital speed of a satellite about a planet. At an orbital radius r (m) above a planet of mass M (kg), vorbit (m s–1) is given by vorbit=GMr, where G is the universal gravitational constant.
As a satellite orbits the planet earth, using the concept of conservation of energy. Where the total energy is equal to 0, determine the expression for the escape velocity of the satellite in terms of M, m, G and any additonal physical constants as necessary.
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