Question

In: Physics

1.) So we know that the planet Jupiter and its big Galilean moons are sometimes termed...

1.)

So we know that the planet Jupiter and its big Galilean moons are sometimes termed as a ‘mini-solar system’ because Jupiter is composed of mainly hydrogen and helium like stars and the Galilean moons seem like planets revolving around it. The total angular momentum of a system is contributed by the sum of orbital and rotational angular momenta of the central body and the bodies orbiting around it.

Note: For parts a and also b you can go ahead and ignore the contribution of all satellites, asteroids, dwarf planets for the Solar System and the smaller Jovian satellites for the Jupiter system

a. Go ahead and derive an equation for rotational angular momentum and calculate the same for the Solar System and the Jupiter system.  

b. Also go ahead and also derive an equation for orbital angular momentum and calculate the same for the Solar System and the Jupiter system.

c. Please give a good explanation on how this analogy of the ‘mini-solar system’ breaks down.

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