Geodesic
Rotation of the one-dimensional direction in the physical space for a periodic particle
Zapiski Nauchnykh Seminarov POMI, Geometry and topology. Part 3, Tome 252 (1998), pp. 142-148

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We give an invariant definition of the world line (of a particle) in Minkowski space corresponding to a periodic motion of a particle in physical 3-space. We obtain the sharp lower estimate for the rotation of the one-dimensional direction of the partical in the physical space as a function of the velocity of the particle. 
@article{ZNSL_1998_252_a12,
     author = {S. E. Kozlov},
     title = {Rotation of the one-dimensional direction in the physical space for a periodic particle},
     journal = {Zapiski Nauchnykh Seminarov POMI},
     pages = {142--148},
     publisher = {mathdoc},
     volume = {252},
     year = {1998},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/ZNSL_1998_252_a12/}
}
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S. E. Kozlov. Rotation of the one-dimensional direction in the physical space for a periodic particle. Zapiski Nauchnykh Seminarov POMI, Geometry and topology. Part 3, Tome 252 (1998), pp. 142-148. http://geodesic.mathdoc.fr/item/ZNSL_1998_252_a12/