Synchrotron radiation at arbitrary distances

We study the properties of synchrotron radiation in vacuum. The behaviour of time averaged radial, azimuthal and polar components of the radiated energy flux is investigated for different velocities of a moving charge and at different distances from a charge orbit (both outside and inside it). Analytic formulae are found for the instantaneous position of the radiation intensity maxima and minima for a fixed moment of the laboratory time. They generalize the famous Schwinger formula for arbitrary velocities and distances