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We address the question of radiation emission from a perfect mirror thatstarts from rest and follows the trajectory z=-ln(cosht) till t->Infinity. Weshow that a correct derivation of the black body spectrum via the calculationof the Bogolubov amplitudes requires consideration of the whole trajectory andnot just of its asymptotic part.Comment: Typos correcte

Radiation from perfect mirrors starting from rest and accelerating forever and the black body spectrum