Physics
Physics, 20.11.2020 08:00, potato3999

You have a summer job at a laboratory associated with the oversight of the Global Positioning System (GPS). The space-based part of the system consists of about three dozen satellites. Just before the summer, a new GPS satellite was launched but, due to a rocket-engine failure, it did not achieve its proper near-circular orbit around the Earth. It now moves in an elliptical orbit with its apogee at 2.65 βœ• 104 km, which is the radius of the circular orbit of a correctly positioned GPS satellite, and its perigee at 6.70 βœ• 103 km. Your boss wonders if the satellite can still be used in some way. Normal GPS satellites appear over the same point on the Earth about twice a day. Your boss asks you to calculate (a) how many times a day the satellite reaches its perigee and to determine (b) if the perigee point is regularly over a fixed point on the Earth's surface.

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