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2. A newly discovered solar system contains two planets, named Akiva and Crait. Akiva has a mass of 500 x 1024 kg and radius 60 x 106 m. It spins on its axis once every 16 hours. Crait has a mass of 1800 x 1024 kg and radius 70 x 106 m. It spins on its axis once every 10 hours. The average distances of Akiva and Crait from their parent star are 1400 x 106 km and 780 x 106 km, respectively. The orbital periods of Akiva and Crait are 4000 days and 9500 days, respectively. You may assume their orbits are circular. (a) Calculate the angular momentum associated with rotational spin of Akiva. (b) Calculate the angular momentum associated with orbital motion of Akiva. (c) Calculate the angular momentum associated with rotational spin of Crait. (d) Calculate the angular momentum associated with orbital motion of Crait. (e) Calculate the total angular momentum of Akiva and Crait.