  A techniques, describing electron dynamics for magnetic models closed to
cyclical accelerators, is developed and applied to the analysis of
electromagnetic radiation emitted by charged particles. Formulas for the
angular characteristics of synchrotron emission, which take into account the
electron vibrations in the lattices of accelerators and storage rings are
derived. It is shown that both the degree of photon polarization, as well as
the spectral and angular distributions of radiation intensity, exhibit an
observable dependence on the vertical betatron oscillations.
