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Jupiter's moon Ganymede has a nearly circular orbit of radius 1.07 x 109 m. The moon's...

Jupiter's moon Ganymede has a nearly circular orbit of radius 1.07 x 109 m. The moon's orbital period is 7.15 days or 6.18 x 105 seconds. What is the mass of Jupiter? Describe your process with diagram(s), a given list, and all principles used.

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Answer #1

We have direct expression for the period of a satellite around a planet,  

Mass of Jupiter,   

Radius of the orbit of the satellite,  

Universal Gravitational Constant,

Time period of satellite rotation,   

Substituting,  

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