Question
a) Jupiter's satellite Ganymede is the largest and most massive of satellites in our solar system. It orbits the planet on a nearly circular path
a) Jupiter's satellite Ganymede is the largest and most massive of satellites in our solar system. It orbits the planet on a nearly circular path with a radius of 1,070,000 km and completes its orbit every 7.15 Earth days. Use Newton's universal law of gravitation to find the mass of Jupiter.
b) Knowing Jupiter's mass from this calculation, and its radius of 71,492 km across its equator, what is its angular momentum given that it rotates once on its axis in 9.925 hours? Jupiter is oblate, and its polar radius is smaller at 66,854 km, but for this assume it is a sphere.
c) Knowing Jupiter's mass, and that it orbits the Sun on the average (it has an elliptical orbit with an eccentricity of 0.05) at 7.8108 km from the Sun in 11.86 years, what is its angular momentum from this orbital motion?
Compare Jupiter's spin and orbital angular momenta to the spin angular momentum of the rotating Sun, which is a sphere of radius 695,700 km and mass 1.991030 kg that completes a turn in 25 days (with respect to distant stars).
I wasn't sure how to break this up into multiple questions. I'll be sure to give a rating!
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