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:<math>E_p = - \frac{G m_1 m_2}{r}</math> |
:<math>E_p = - \frac{G m_1 m_2}{r}</math> |
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β | with respect to infinity; in other words, this is the amount of [[work]] required to push one of the objects infinitely far away from the other. This gives a formulation for escape |
+ | with respect to infinity; in other words, this is the amount of [[work]] required to push one of the objects infinitely far away from the other. This gives a formulation for escape velocity, or the velocity needed to escape an object's gravitational pull: |
:<math>\frac{G M m}{r} = \frac{1}{2} m v^2</math> |
:<math>\frac{G M m}{r} = \frac{1}{2} m v^2</math> |