In: Physics
Q. Jupiter and its four large 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.
Derive an equation for rotational angular momentum and calculate the same for the Solar System and the Jupiter system. (Ignore the contribution of all satellites, asteroids and dwarf planets for the Solar System and the smaller Jovian satellites for the Jupiter system)
Derive an equation for orbital angular momentum and calculate the same for the Solar System and the Jupiter system. (Ignore the contribution of all satellites, asteroids and dwarf planets for the Solar System and the smaller Jovian satellites for the Jupiter system)
Explain how this analogy of the ‘mini-solar system’ breaks down.