Gebere Tatios, Daniel2018-06-202023-11-092018-06-202023-11-091992-06http://10.90.10.223:4000/handle/123456789/2291The classical two - body problem has been considered and the exact solution of Kepler's problem has been obtained for the general case. Using this solution the spectrum of the radiation from the system of two charged particles with Coulomb interaction is briefly discussed. In addition the angular distribution of the average power radiated by the system is precisely calculated.The effect of the radiation on the system and the spectrum is deeply investigated. Relativistic circular motion of a charge and the spectrum of the radiation is considered in the second part in which the direct way of evaluation of the average power radiated by the system is considered. The interfernce of the radiation from a system of two charges in a circular motion is also considered. The Lagrange expansions of the electromagnetic potentials of a relativistic charge in a circular motion is considered for far zone. The exact expression of the s imu 1 taneous electromagnet i c potent i a 1 s of the charge for any distance is also considered as well as their spectrum for a circular motionenThe Radiation system of two chargesThesis