  We relax the usual assumption of Maxwellian velocity distributions in the
interstellar medium (ISM) in the analysis of neutral He particle data from
Ulysses and the Interstellar Boundary Explorer (IBEX). For Ulysses, the
possibility that a narrow component from heavy neutrals is contaminating the He
signal is considered, which could potentially explain the lower ISM temperature
measured by Ulysses compared to IBEX. The expected heavy element contribution
is about an order of magnitude too small to resolve that discrepancy. For IBEX,
we find that modest asymmetries in the ISM velocity distribution can
potentially improve the quality of fit to the first two years of data, and
perhaps improve agreement with the Ulysses measurements.
