## 8 Conditions for Simulation and Animation
Animations of the indicators of every instrument are calculated to be displayed on the screen as a function of the information calculated. The curves in these figures are used to follow the altimeter's movements. The displacements along the x- and y-axes can be directly compared with the behavior of any instrument; moreover, these graphics can demonstrate the behavior of the A.S.I. through displacement, a function of the aircraft's speed. The best comparison for this instrument comes from the aircraft's speed because the speed on the x- and y-axes can be calculated as a function of the horizontal speed. Finally, the speed on the z-axis is the vertical speed and can be directly compared with the figures displayed by the V.S.I. The influence of the horizontal and vertical aircraft speeds can be seen in Figure 10a-c; moreover, the influence of the heading angle over the aircraft's path and displacement can also be observed. Because the aircraft moves from north to south and east to west, and vice versa, during the simulated flights, these movements are modified as a function of the heading angle. The lines in the figures represent the aircraft's displacement in a virtual 3D space and its distance from the surface terrain. The circles indicate the maneuvers at the beginning and at the moment when the flight conditions change. \begin{table}
\begin{tabular}{l c c c c c c c c} \hline \hline Flight & & & & & & & & \\ \hline Maneuver & 0 & 1 & 2 & 3 & 4 & 5 & 6 & 7 \\ \hline v\({}_{\text{hor}}\) & 0 & 100 & 120 & 100 & 110.5 & 100 & 97.25 & 95.45 \\ \hline v\({}_{\text{vert}}\) & & & & & & & & \\ \((\text{km/h})\) & 0 & 0 & 27.5 & 12.25 & 0.55 & \(-5.20\) & \(-5.50\) & 8.75 \\ \hline \(\alpha_{\text{heading angle}}\) & \(-5\) & \(-5\) & \(-45\) & \(-135\) & \(-180\) & \(-360\) & \(-360\) & \(-270\) \\ \hline t (min) & 0 & 2.50 & 2.35 & 3.25 & 7.50 & 6.55 & 5.25 & 18.75 \\ \hline Flight & & & & & & & & \\ \hline Maneuver & 0 & 1 & 2 & 3 & 4 & 5 & 6 & 7 \\ \hline v\({}_{\text{hor}}\) & 0 & 175 & 250 & 145.50 & 125 & 100 & 100 & 95.45 \\ \hline v\({}_{\text{vert}}\) & & & & & & & & \\ \((\text{km/h})\) & 0 & 0 & 25 & 5 & 0 & \(-2.20\) & 15.55 & 12.25 \\ \hline \(\alpha_{\text{heading angle}}\) & 0 & 0 & \(-90\) & 90 & 0 & 45 & 45 & 0 \\ \hline t (min) & 0 & 2.50 & 2.00 & 6.00 & 5.55 & 4.55 & 5.25 & 5.55 \\ \hline Flight & & & & & & & & \\ \hline Maneuver & 0 & 1 & 2 & 3 & 4 & 5 & 6 & 7 \\ \hline v\({}_{\text{hor}}\) & & & & & & & & \\ \((\text{km/h})\) & 0 & 175 & 250 & 145.50 & 125 & 100 & 100 & 95.45 \\ \hline v\({}_{\text{vert}}\) & & & & & & & & \\ \((\text{km/h})\) & 0 & 0 & 25 & 5 & 0 & \(-2.20\) & 15.55 & 12.25 \\ \hline \(\alpha_{\text{heading angle}}\) & 0 & 0 & \(-90\) & \(-180\) & 0 & 90 & 360 & 360 \\ \hline t (min) & 0 & 2.50 & 2.00 & 6.00 & 6.00 & 3.00 & 5.25 & 12.25 \\ \hline \hline \end{tabular}
\end{table} 
Table 1: Information for the simulated flights. Figure 10: Computer simulation of the aircraft’s flight showing the 2D and 3D paths conforming to the data in Table 1 for each flight. Figure 11: Aircraft displacement along the axes (x, y, z) of the simulated flights: (a) flight (1); (b) flight (2); and (c) flight (3). Figure 12: Aircraft speed along the axes (x, y, z) of the simulated flights: (**a**) flight (1); (**b**) flight (2); and (**c**) flight (3). Figure 10 shows the aircraft's movements during three different flights, which can be compared with those in Figures 11 and 12 as an additional validation of the graphical representation of the results. The information obtained after the calculation can be used analyze the dynamic influence of the speed and route on the aircraft's flight. Figure 11a-c show the influence of the speed and the heading angle on the aircraft's displacement and maneuver durations. The last maneuvers for flights (1) and (3) have the longest durations; thus, the distances traveled increase. In comparison, during short durations, the changes in attitude are quick. Figure 12a-c show the evolution of the aircraft's speed during the simulated flights.