A geosynchronous equatorial orbit is a circular orbit above the Earth’s equator that has a period of 1 day (these are sometimes called geostationary orbits). These geostationary orbits are of great importance for telecommunications satellites because a satellite orbiting with the same angular rate as the rotation rate of the Earth will appear to hover in the same point in the sky as seen by a person standing on the surface of the Earth. Using this information, modeling a geosynchronous satellite as a rigid body, and noting that the satellite has been stabilized so that the same side always faces the Earth, determine the angular speed ωs of the satellite.
Figure P6.22
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