A new measurement of the momentum spectra of both positive and negative muo
ns as a function of atmospheric depth was made by the balloon-borne experim
ent CAPRICE93. The data were collected during ground runs in Lynn Lake on 1
9 and 20 July 1994 and during the balloon flight on 8 and 9 August 1994. We
present results that cover the momentum intervals 0.3-40 GeV/c for mu(-) a
nd 0.3-2 GeV/c for mu(+), for atmospheric depths from 3.3 to 1000 g/cm(2),
respectively. Good agreement is found with previous measurements for high m
omenta, while at momenta below 1 GeV/c we find latitude dependent geomagnet
ic effects. These measurements are important cross-checks for the simulatio
ns carried out to calculate the atmospheric neutrino fluxes and to understa
nd the observed atmospheric neutrino anomaly.