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In this paper we study the sensitivity of the flux of atmospheric muons touncertainties in the primary cosmic ray spectrum and to the treatment of thegeomagnetic field in a calculation. We use the air shower simulation programAIRES to make the calculation for two different primary spectra and underseveral approximations to the propagation of charged particles in thegeomagnetic field. The results illustrate the importance of accurate modellingof the geomagnetic field effects. We propose a high and a low fit of the protonand helium fluxes, and calculate the muon fluxes with these different inputs.Comparison with measurements of the muon flux by the CAPRICE experiment shows aslight preference for the higher primary cosmic ray flux parametrization.Comment: 24 pages, 13 figures, submitted to Phys.Rev.

Influence of the geomagnetic field and of the uncertainties in the primary spectrum on the development of the muon flux in the atmosphere