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Planet Wind Orbital Trajectories

I calculated trajectories for planetary wind particles leaving at the escape speed from the planet surface in a corotating frame.

Here are the trajectories for a separation of 400 AU

and here are the trajectories for a separation of 200 AU

… and 100 AU

We have

v_{esc}=\sqrt{\frac{2G M_p}{R_p}}

and

\Omega=\sqrt{\frac{G \left ( M_s+M_p \right ) }{a^3}}

We can calculate an coriolis radius R_C where

2 \Omega v_{esc} = \frac{v_{esc}^2}{R_C}

which gives

R_C=\frac{v_{esc}}{2 \Omega}=\sqrt{\frac{M_p a^3}{2 \left ( M_s + M_p \right ) R_p}} \approx \sqrt{\frac{R_H^3}{R_p}}