Solution: Determine the length of the Geostationary orbit

Solution: Determine the length of the Geostationary orbit

Problem Statement: Mathematics

Algebra Problem Solving

In 1945, Arthur Clarke, a scientist and science-fiction writer, predicted that an artificial satellite placed at a height of 2248 miles directly above the equator would orbit the globe at the same speed with which the earth was rotating. This belt along the equator is known as the Clarke Belt or Geostationary orbit. If the radius of the earth is 4000 miles and assume g = 32.2 fps, determine the length of the Geostationary orbit.

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A. 164,919 miles

B. 164,921 miles

C. 164,923 miles

D. 164,917 miles

Problem Answer:

The length of the Geostationary orbit is equal to 164,921 miles.

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