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In general relativity, the equation of motion of the spin is given by theequation of parallel transport, which is a result of the space-time geometry.Any result of the space-time geometry can not be directly applied to gaugetheory of gravity. In gauge theory of gravity, based on the viewpoint of thecoupling between the spin and gravitational field, an equation of motion of thespin is deduced. In the post Newtonian approximation, it is proved that thisequation gives out the same result as that of the equation of paralleltransport. So, in the post Newtonian approximation, gauge theory of gravitygives out the same prediction on the precession of orbiting gyroscope as thatof general relativity.Comment: 10 pages, no figure

Coupling Between Spin and Gravitational Field and Equation of Motion of Spin