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Detailed simulation studies have been performed investigating the properties of the nominal ATLAS monitored drift tube (MDT) chamber gas (Ar/CO2-93/7) in presence of magnetic field. Results of the effect of magnetic field varying from 0.1 T to 1.5 T on muon tracks passing at different distances from the tube anode wire will be discussed. The simulation was based on the use of MAGBOLTZ and GARFIELD programs. Emphasis is given to the reliability of the second simulation program, which has been verified with comparisons of precision measurements provided in the bibliography.