Abstract
We show that the main features of the annual modulation of the signal expected in a WIMP direct detection experiment, i.e., its sinusoidal dependence with time, the occurrence of its maxima and minima during the year and (under some circumstances) even the one-year period, are modified for anisotropic galactic halos. The most relevant effect is a peculiar distortion of the time-behaviour at low recoil energies for tangential anisotropies. The observation of these effects could provide a direct way of measuring (or setting limits on) the local degree of anisotropy of the velocity distribution of the dark matter particles.
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