Abstract
A geometrical interpretation is given for the Frenet-Serret structure along constant speed circular orbits in orthogonally transitive stationary axisymmetric spacetimes. This gives a simple visualization of the acceleration of these orbits and of the Fermi-Walker angular velocity of the usual symmetry-adapted frame vectors along them and provides an elegant description of the various observers characterized by critical values of the variables parametrizing the acceleration.
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