a) An asteroid revolves around the Sun with a mean orbitalradius 2.5 times that of Earth’s. Predict the period of theasteroid in Earth years.
(Show all work, including formulas and units for fullcredit.)
b) Saturn requires 29 years to circle the Sun. Find Saturn’saverage distance from the Sun as a multiple of Earth’s averagedistance from the Sun.
(Show all work, including formulas and units for fullcredit.)
c) The Moon has a period of 27.3 days and a mean distance of3.9×105 km from its center to the center of Earth.
i) Use Kepler’s laws to find the period of a (hypothetical)satellite in orbit 8.20×103 km from the center ofEarth.
ii) How far above Earth’s surface is this satellite (Hint: Lookup the Earth's diameter online, convert it to the radius, and alsoto kilometers. Keep in mind that the satellite rotates from thecenter of the Earth, and the question asks for the height above thesurface of the Earth)?
