Analysing numerical models of the Geminid meteoroid stream for particle masses 0.00003–0.3 g we found evidence of several mean motion resonances: 1:2, 2:5, 3:7, 3:8 and 4:9 with Venus, 2:3 and 5:7 with the Earth and 7:1 with Jupiter. The resonant particles form dust trails located far from the Earth's orbit. Indeed, there is no observational support for resonant effects in the observed Geminid meteor shower. The trails are stable and compact, and consist of large (0.003–0.3 g) meteoroids.