Steven W. answered 07/29/16
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When an object is orbiting in an ellipse under the influence of gravity (Kepler's laws applied to the known planets of his time around the sun, but it applies to any orbit where gravity provides the holding force), a line drawn from the orbiting object to the body it is orbiting sweeps out equal areas in equal times. This is a consequence of the conservation of angular momentum, and has the result that an orbiting object's speed increases as it gets closer to the object it is orbiting (in other words, approaches pericenter), and decreases as it gets farther away (approaches apocenter).