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Homework answers / question archive / Coruscant Prime is a tiny star in the Coruscant system
Coruscant Prime is a tiny star in the Coruscant system. There are 12 planets orbiting this star. One planet is Coruscant, which has an average orbital radius 2.3×10112.3×1011 m around this star and has an orbital period of 365 (Earth) days. The planet itself rotates 24 hours in one day and has a diameter 12.24×10612.24×106 m. (Remember: an earth day has 24 hours in the day, 60 minutes in an hour, and 60 seconds in a minute.)
(A)(7 pts) What is the mass of the star, Coruscant Prime?
(B)(7 pts) What is the mass of the planet if the acceleration due to gravity on the surface is 8.3 m/s2?
(C)(6 pts) Supreme Chancellor Sheev Palpatine is orbiting the planet 412 km above the planet's surface, how fast is the ship traveling to maintain orbit?
(D)(5 pts) A Stormtrooper (soldier) is stuck on the planet bored; he decides to make a grandfather clock (simple pendulum). What is the length of the pendulum so that it keeps time with the planet (assume one complete oscillation is equivalent to 1 second of time)?
