March 29, 2017

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Two small spaceships, each with mass m = 2000 kg, are in the circular Earth orbit of the figure, at an altitude h of 420 km. Igor, the commander of one of the ships, arrives at any fixed point in the orbit 90.0 s ahead of Picard, the commander of the other ship. At point P , Picard fires an instantaneous burst in the forward direction, reducing his ship's speed by 1.30%. After this burst, he follows the elliptical orbit shown dashed in the figure. How much earlier than Igor will Picard return to P?
Point p is located at the height above earth at 180 degrees.

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