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You are an aerospace technician apprentice tracking a deep-space probe. During a planetary gravity assist (slingshot maneuver), the probe's path traces one branch of a hyperbola. To program the trajectory model, you must use the standard geometric definition of a hyperbola. In geometry, a hyperbola is defined as the set of all points in a plane where the ________ of their distances from two fixed points (the foci) is constant.

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