Velocity moments of these averaged distribution functions were
integrated to obtain the ion number density and flow velocity:
The number density is plotted in the second panel and the magnitude of the flow velocity is shown in the third panel. The polar angles of the flow velocity, ø (ø = 180° is anti-sunward) and ( is the S/C spin plane) are plotted in the fourth panel.
The kinetic temperature was computed from the distribution function by
integrating:
The CPI solar wind ion analyzer is an E/Q analyzer and the initial
distribution functions were calculated assuming that the plasma is
H+. Care must be taken when multi-component plasmas are
present. If He++ is present and is flowing with the same
speed as the H+ component, it will contribute to the
distribution function at twice the velocity (four times the energy) of
the H+. To facilitate the automated processing of these data
the above integral was evaluated between
|vmin| = 171 km/s and
|vmax| = 1.35 ×
|u|. The resulting temperatures produce excellent fits
to the observations. When He++ is present the distribution
functions are consistent with an He++ temperature,
THe++ = 4 × TH+,
i.e., the H+ and He++ have similar thermal
velocities.