34.  A geosynchronous satellite appears to “hover” stationary directly above a particular point on the Earth’s equator.  In order to achieve this the period of the orbit must match the sidereal period of Earth’s rotation, which is 23 hours 56 minutes.  Solve for the altitude and speed of such a satellite. (Can only use Newton's 3 laws of motion and the law of gravity where Fg=G(M1M2)/r^2 and g=GM/r^2. You can also use the uniform circular motion formulas for speed and acceleration.)

Principles of Physics: A Calculus-Based Text
5th Edition
ISBN:9781133104261
Author:Raymond A. Serway, John W. Jewett
Publisher:Raymond A. Serway, John W. Jewett
Chapter11: Gravity, Planetary Orbits, And The Hydrogen Atom
Section: Chapter Questions
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34.  A geosynchronous satellite appears to “hover” stationary directly above a particular point on the Earth’s equator.  In order to achieve this the period of the orbit must match the sidereal period of Earth’s rotation, which is 23 hours 56 minutes.  Solve for the altitude and speed of such a satellite.

(Can only use Newton's 3 laws of motion and the law of gravity where Fg=G(M1M2)/r^2 and g=GM/r^2. You can also use the uniform circular motion formulas for speed and acceleration.)

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