In case of a boat the wind window orientation
Two parametrical definitions of 8-shaped trajectories were introduced, one based on Wellicome & Wilkinson  and another one based on Argatov et al.  works. This definition includes two parameters for the trajectory mean position in the wind window and a third one extra for its orientation, allowing continuous variations from horizontal to vertical flight paths. The present optimization strategy differs from those Reutericyclin of Dadd  and Naaijen et al.  in several points. The present analytical kite flight modeling presented in Section 3 allowed us to speed up the kite velocity calculation compared to Dadd  and Naaijen et al.  iterative method. The influence of the wind window twist was correctly taken into account in the present modeling as explained in Section 4 since Dadd  and Naaijen et al.  and  orientated the wind window in a simplified manner. The trajectory orientation was introduced in the optimization process presented in Section 5 allowing continuous variations from horizontal to vertical flight paths. Moreover the three trajectory parameters (azimuth, elevation and orientation) were continuously and simultaneously optimized, whereas Naaijen et al.  only adjusted the trajectory azimuth and Dadd  chose the best trajectories through a finite set of predefined horizontal and vertical trajectories. Finally, the static flight presented in Section 3.3 was considered in the optimization process while chromatid was neglected by Dadd  and Naaijen et al. .