A space probe is about to launch with the objective to explore the planets Mars and Jupiter. To
use the lowest amount of energy, the rocket starts from the Earth’s orbit (A) and flies in an elliptical orbit to Mars (B), such that the ellipse has its perihelion at Earth’s orbit and its aphelion at
Mars’ orbit. The space probe explores Mars for some time until Mars has completed 1/4 of its orbit
(C). Aer that, the space probe uses the same ellipse to get from Mars (C) to Jupiter (D). There the
mission is completed, and the space probe will stay around Jupiter.
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