In this note we present a study of the radiative tails in the invariant mass spectra of muon or electron pairs from J/#psi#, #psi#(2S) and #gamma#(1S) decays which is due to an additional emission of a photon. An analytic formula for dilepton mass spectra in radiative decays is derived and a monte carlo simulation for realistic detector conditions is used to study effects on the spectra. A rather simple parameterisation is given, suitable for the treatment of real data. (orig.)Available from TIB Hannover: RA 8919(04-105) / FIZ - Fachinformationszzentrum Karlsruhe / TIB - Technische InformationsbibliothekSIGLEDEGerman