K. Yee et M. Bander, EQUATIONS OF MOTION FOR SPINNING PARTICLES IN EXTERNAL ELECTROMAGNETIC AND GRAVITATIONAL-FIELDS, Physical review. D. Particles and fields, 48(6), 1993, pp. 2797-2799
The equations of motion for the position and spin of a classical parti
cle coupled to an external electromagnetic and gravitational potential
are derived from an action principle. The constraints ensuring a corr
ect number of independent spin components are automatically satisfied.
In general the spin is not Fermi-Walker transported nor does the posi
tion follow a geodesic, although the deviations are small for most sit
uations.