You could use Bézier curves to draw the trajectories, e.g. a quick and dirty sketch:
\documentclass{standalone}
\usepackage{tikz}
\begin{document}
\begin{tikzpicture}
\draw[red] (-1.7286,5.6002) .. controls (-1.7286,5.6002) and (2.5610,5.3482) .. (4.6987,4.7064) .. controls (4.9925,4.6182) and (4.9940,4.4655) .. (4.9940,4.4655);
\draw[blue] (4.9940,4.4655) .. controls (4.9940,4.4655) and (4.8360,3.8956) .. (4.7375,3.8981) .. controls (4.6429,3.9005) and (4.6456,4.5949) .. (4.7064,4.5898) .. controls (4.8256,4.5798) and (4.7803,3.9125) .. (5.0328,3.9059) .. controls (5.2924,3.8992) and (5.4064,4.6032) .. (5.7168,4.6054) .. controls (6.0692,4.6079) and (6.3260,3.9225) .. (6.7349,3.9215) .. controls (7.2980,3.9200) and (7.6279,4.5942) .. (8.1493,4.5898) .. controls (8.4153,4.5876) and (8.8194,4.2087) .. (9.1182,4.0402) .. controls (9.4170,3.8718) and (9.5172,3.9137) .. (9.5172,3.9137);
\end{tikzpicture}
\end{document}
