The Effect of Cosmic Rays on the Propagation of Shock Waves in the Outer Heliosphere

In previous work it has been shown that the propagation of shocks waves in the outer heliosphere is strongly effected by the inclusion of pickup ions (PIs) in the heliospheric model. We present results showing how the inclusion of a magnetic field can further effect shock wave propagation. Galactic and anomalous cosmic rays are then also included in the heliospheric model and results illustrating their effect are presented. The anomalous cosmic rays are assumed to be produced by injection at the interplanetary shock fronts and the galactic and anomalous cosmic rays, due to different energy ranges, are taken to have different adiabatic indices and diffusion coefficients.