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Number density profiles are computed for the satellites of relativelyisolated host galaxies in the Illustris-1 simulation. The mean total massdensity of the hosts is well-fitted by an NFW profile. The number densityprofile for the complete satellite sample is inconsistent with NFW and, onscales < 0.5 r_200, the satellites do not trace the hosts' mass. This differssubstantially from previous results from semi-analytic galaxy formation models.The shape of the satellite number density profile depends on the luminositiesof the hosts and the satellites, and on the host virial mass. The numberdensity profile for the faintest satellites is well-fitted by an NFW profile,but the concentration is much less than the mean host mass density. The numberdensity profile for the brightest satellites exhibits a steep increase in slopefor host-satellite distances < 0.1 r_200, in qualitative agreement with recentobservational studies that find a steep increase in the satellite numberdensity at small host-satellite distances. On scales > 0.1 r_200 the satellitesof the faintest hosts trace the host mass reasonably well. On scales > 0.4r_200, the satellites of the brightest hosts do not trace the host mass and thesatellite number density increases steeply for host-satellite distances < 0.1r_200. The discrepancy between the satellite number density profile and thehost mass density is most pronounced for the most massive systems, with thesatellite number density falling far below that of the mass density on scales <0.5 r_200.

Satellite Galaxies in the Illustris-1 Simulation: Poor Tracers of the Mass Distribution