A planet orbits a small star in a circular orbit. The planet orbits at a speed of 1000 m/s in a counterclockwise direction. The planet is a distance 400 x10 6 m from the center of the star. The radius of the planet is 1.5 x 10 6 m. The astronauts on the surface of the planet measure the speed of the surface to be about 5 m/s and also rotating in a counterclockwise direction. The end goal is to accelerate the rotational speed of the planet to make it the same length of day as earth. Determine: a) The current length of a day (time between sunrises) for the astronauts. b) the maximum possible acceleration experienced if it takes 10 days to accelerate the planet under constant acceleration to reach a 24-hour day.

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