Author’s summary: We give a new derivation of the inversion formula of A. A. Bukhgeim and S. G. Kazantsev [Inversion formula for the fan-beam attenuated Radon transform in a unit disk. Preprint No. 99. Sobolev Institute of Mathematics, Siberian Branch of Russian Acad. Sci., Novosibirsk (2002)] for the attenuated vectorial Radon transform. We also study what happens if the attenuation tends to zero.