Improved calculation of the radiation power of a charged particle undergoing hyperbolic motion

Within classical electrodynamics, exact formulas for calculating the radiation loss of the energy of a point charge undergoing hyperbolic motion, including the relativistic region, are proposed. For an ultrarelativistic particle, the improved radiation loss factor γ 2 · e 2 · a 2 was obtained instead of the commonly used Larmor quantity γ 2 · e 2 · a 2 .