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Precession of an orbiting gyroscope in the gravitational field of the earth Robb, Norman Ian

Abstract

The motion of a gyroscope in a satellite orbiting the earth is considered. The axis of rotation of the gyroscope is assumed to be parallely propogated along its world line. Taking the satellite's path to be an ellipse, and using the true gravitational potential of the earth, including higher harmonics, one calculates the precession of the axis of rotation during one orbit of the earth with respect to the coordinate frames.

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