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SE-SKOLORNAS 1978 Problem 3

    Two satellites are orbiting the earth in the equatorial plane at an altitude hh above the surface. The distance between the satellites is always dd , the diameter of the earth. For which hh is there always a point on the equator at which the two satellites subtend an angle of 90∘90^\circ ?

    Dataset text AI-MO AoPS. Quoted with source.

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