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): А Sun Earth / Mars Jupiter Below you find the obrital period and the semi-major axis of the three planets: Orbital period semi-major axis Earth 365 days 1.00 AU 687 days 4333 days Mars 1.52 AU Jupiter 5.20 AU How many years after its launch from the Earth (A) will the space probe arrive at Jupiter (D)?
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): А Sun Earth / Mars Jupiter Below you find the obrital period and the semi-major axis of the three planets: Orbital period semi-major axis Earth 365 days 1.00 AU 687 days 4333 days Mars 1.52 AU Jupiter 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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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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