The wavelength displacement of the Diffuse Interstellar Bands at 4502, 5705, 5780, 6284, and 7224 AA with respect to the well known, narrow atomic/molecular interstellar lines (of Ca{sc ii} and Na{sc i}) have been measured in the spectra of the 2 Orion Trapezium stars HD 37022 and HD 37020, using the HARPStextendash N spectrograph, fed with the 3.5 m Telescopio Nazionale Galileo, and the BOES spectrograph, fed with the 1.8m Korean telescope. The red shift is $sim$25 km/s for all these DIBs. We discuss the various possible origins of this very peculiar wavelength shift in the light of the particular physical conditions in the Orion Trapezium. The above mentioned shift is seemingly absent in the DIBs at 6196 and 6993 AA.
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