NASA would send a satellite to the planet Jupiter. To use the least fuel, the satellite would travel on a "Hohmann ellipse" - with perihelion at TE and aphelion at rj - as shown in the figure; the semimajor axis is a=(re+rJ)/2. How many days would it take the satellite to travel from Earth to Jupiter?
NASA would send a satellite to the planet Jupiter. To use the least fuel, the satellite would travel on a "Hohmann ellipse" - with perihelion at TE and aphelion at rj - as shown in the figure; the semimajor axis is a=(re+rJ)/2. How many days would it take the satellite to travel from Earth to Jupiter?
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Transcribed Image Text:orbit of Jupiter
orbit of Earth
Hohmann ellipse
NASA would send a satellite to the planet Jupiter.
To use the least fuel, the satellite would travel on
a "Hohmann ellipse" - with perihelion at IE and
aphelion at rj - as shown in the figure; the semimajor
axis is a=(TE+rJ)/2.
How many days would it take the satellite to
travel from Earth to Jupiter?
DATA: TE = 1 AU ; rj = 5.2 AU;
The astronomical unit (AU) is a unit of length relevant to the Solar System.
1 AU = the mean distance from the sun to Earth.
1 AU = 1.496 x 10¹¹ meters.
{time to go from Earth to Jupiter =} (in day)
OA: 996.8 OB: 1445.3 OC: 2095.7 OD: 3038.8 OE: 4406.3 OF: 6389.1 OG: 9264.3 OH: 13433.2
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