  We performed numerical calculations to test the suggestion by Desiati &
Lazarian (2013) that the anisotropies of TeV cosmic rays may arise from their
interactions with the heliosphere. For this purpose, we used a magnetic field
model of the heliosphere and performed direct numerical calculations of
particle trajectories. Unlike earlier papers testing the idea, we did not
employ time-reversible techniques that are based on Liouville's theorem. We
showed numerically that for scattering by the heliosphere the conditions of
Liouville's theorem are not satisfied and the adiabatic approximation and
time-reversibility of the particle trajectories are not valid. Our results
indicate sensitivity to the magnetic structure of the heliospheric magnetic
field, and we expect that this will be useful for probing this structure in
future research.
