a) An asteroid revolves around the Sun with a mean orbital radius 2.5 times that of...

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Physics

a) An asteroid revolves around the Sun with a mean orbitalradius 2.5 times that of Earthâ€™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 Saturnâ€™saverage distance from the Sun as a multiple of Earthâ€™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 of3.9Ã—10⁵ km from its center to the center of Earth.
i) Use Keplerâ€™s laws to find the period of a (hypothetical)satellite in orbit 8.20Ã—10³ km from the center ofEarth.
ii) How far above Earthâ€™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)?

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3.9 Ratings (539 Votes)

aTe Time period of earth for orbit around the sun 1 yrRe Radius of earth for orbit around the sun RTa Time period of asteroid for orbit around the sun Ra Radius of asteroid for orbit around the sun 25 RWe know from Keplers third law thatT2R3hence for comparing the See Answer

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