a) Jupiter's satellite orbits the planet on a nearly circular path with a radius of 420,000...

a) Jupiter's satellite orbits the planet on a nearly circular path with a radius of 420,000 km and completes its orbit every 1.769 days. Use Newton's universal law of gravitation to find the mass of Jupiter.

b) 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 7.8×10⁸ km from the Sun in 11.86 years, what is its angular momentum?

c) Compare Jupiter's orbital angular momentum to the angular momentum of the rotating Sun, which is a spinning sphere of radius 695,700 km and mass 1.99×10³⁰ kg that completes a turn in 25 days

Solutions

Expert Solution

(a)

(Time period)...........................(I)

(Centripetal force is provided by the gravitational force)

.........................(II)

From (I), we get

put it in (II)

(b)

(c)

genius_generous answered 1 year ago

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