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Orbital mechanics or astrodynamics is the application of ballistics and celestial mechanics to the practical problems concerning the motion of rockets and other spacecraft. The motion of these objects is usually calculated from Newton's laws of motion and Newton's law of universal gravitation. It is a core discipline within space mission design and control.

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How was the crew of the Ares 3 able to successfully get back to the Hermes?

They didn't use the landing vehicle. They used the MAV (Mars Ascent Vehicle). Since this vehicle is specifically designed to launch from Mars and dock with Hermes it shouldn't have a problem doing th …
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