An asteroid, whose mass is 2.0 10-4 times the mass of Earth, revolves in a circular orbit around the Sun at a distance that is 2.9 times Earth's distance from the Sun.

(a) Calculate the period of revolution of the asteroid in years.
(b) What is the ratio of the kinetic energy of the asteroid to the kinetic energy of Earth (Kasteroid / KEarth)?

Wouldn't Keplers laws handle this nicely? You know the period for Earth, the radii for each.

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