Add create_flight_path.jl

Author: ufechner7

examples/create_flightpath.jl

@@ -0,0 +1,30 @@
+using ControlPlots
+
+function figure_eight_path(A, B, x0, y0, theta, num_points)
+    t = range(0, 2π, length=num_points)
+    x = A .* sin.(t)
+    y = B .* sin.(t) .* cos.(t)
+    # Apply rotation
+    x_rot = x .* cos(theta) .- y .* sin(theta)
+    y_rot = x .* sin(theta) .+ y .* cos(theta)
+    # Apply translation
+    x_final = x_rot .+ x0
+    y_final = y_rot .+ y0
+    return x_final, y_final
+end
+
+# Example usage:
+A = 10.0      # width of the figure-eight
+B = 5.0       # height of the figure-eight
+x0 = 0.0      # center x-coordinate
+y0 = 0.0      # center y-coordinate
+theta = π/6   # rotation angle in radians
+num_points = 200
+
+x_path, y_path = figure_eight_path(A, B, x0, y0, theta, num_points)
+
+plt.figure("Figure-of-Eight Path")
+ax = plt.gca()
+plt.plot(x_path, y_path)
+plt.grid(true)
+ax.set_aspect("equal")