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Unformatted text preview: each other, etc.). Using Newton's laws of motion and law of gravity, you can find that the escape velocity v esc looks very similar to the orbital speed: v esc = Sqrt [ (2 G M)/r ]. This is a factor Sqrt [2] larger than the circular orbital speed . Since the mass M is on top of the fraction, the escape velocity increases as the mass increases. More massive bodies exert greater gravity force, so escaping objects have to move faster to overcome the greater gravity. Also, the distance from the center of the object r is in the bottom of the fraction, so the escape velocity DEcreases as the distance increases. Gravity decreases with greater distance, so objects farther from a massive body do not need to move as quickly to escape it than those closer to it. Vocabulary...
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 Fall '10
 EmilyHoward
 Astronomy, Mass, General Relativity, Celestial mechanics, Rockets

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