Determine the type of orbit and the duration of the flight to the Moon with the minimum fuel consumption.

The orbit should be a semi-ellipse with an aphelion in the orbit of the moon. Under this condition, the fuel is spent only on the acquisition of the corresponding elliptical speed by the ship, and its further flight occurs according to Kepler’s law. This speed is 11.1 km / sec. Flight time is about 5 days. In actual flights, a ship or station is first made an artificial satellite of the Moon, and then it is lowered, braking by jet engines.

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