If the orbital period of an object is the same as the time it takes the Earth to rotate about its axis (i.e. the length of days on Earth), it is in what is called a geostationary orbit. This means the object will stay above the same position on the Earth's surface as it orbits. How high above the Earth's surface does an object need to be to have a circular, geostationary orbit?

If the orbital period of an object is the same as the time it takes the Earth to rotate about its axis (i.e. the length of days on Earth), it is in what is called a geostationary orbit. This means the object will stay above the same position on the Earth's surface as it orbits. How high above the Earth's surface does an object need to be to have a circular, geostationary orbit?

Physics for Scientists and Engineers: Foundations and Connections

1st Edition

ISBN:9781133939146

Author:Katz, Debora M.

Publisher:Katz, Debora M.

Chapter7: Gravity

Section: Chapter Questions

Problem 7PQ: Model the Moons orbit around the Earth as an ellipse with the Earth at one focus. The Moons farthest...

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Model the Moons orbit around the Earth as an ellipse with the Earth at one focus. The Moons farthest distance (apogee) from the center of the Earth is rA = 4.05 108 m, and its closest distance (perigee) is rP = 3.63 108 m. a. Calculate the semimajor axis of the Moons orbit. b. How far is the Earth from the center of the Moons elliptical orbit? c. Use a scale such as 1 cm 108 m to sketch the EarthMoon system at apogee and at perigee and the Moons orbit. (The semiminor axis of the Moons orbit is roughly b = 3.84 108 m.)
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