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y Journey objective to explore the planets Mars ket starts from the Earth's orbit (A) and e has its perihelion at Earth's orbit and

y Journey objective to explore the planets Mars ket starts from the Earth's orbit (A) and e has its perihelion at Earth's orbit and

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Problem B.3: Interplanetary Journey 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 ellip- tical 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). After 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. The drawing below shows the trajectory of the space probe (not drawn to scale): A Sun / Earth Mars Jupiter Below you find the obrital period and the semi-major axis of the three planets: Orbital period Semi-major axis 365 days Earth 1.00 AU Mars 687 days 1.52 AU Jupiter 4333 days 5.20 AU How many years after its launch from the Earth (A) will the space probe arrive at Jupiter (D)?
Transcribed Image Text:Problem B.3: Interplanetary Journey 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 ellip- tical 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). After 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. The drawing below shows the trajectory of the space probe (not drawn to scale): A Sun / Earth Mars Jupiter Below you find the obrital period and the semi-major axis of the three planets: Orbital period Semi-major axis 365 days Earth 1.00 AU Mars 687 days 1.52 AU Jupiter 4333 days 5.20 AU How many years after its launch from the Earth (A) will the space probe arrive at Jupiter (D)?
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