Plot of bands on a sphere. The sphere has been rotated 45 degrees down.

1. 1
Sphere rotated 45 degrees down.
Sharon Liu.
2023/09/11.
Theta_clockwise_horizontal: 0-360 degrees.
d_x_upright: -sin(clockwise_horizontal)*r_halo.
r_halo: sin(down).
d_y_upright: cos(down).
d_z_upright: -cos(clockwise_horizontal)*sin(down).
l_d_zy_distance_to_x_axis: sqrt(z^2+y^2).
Theta_vertical_with_x_axis (theta_1): atan(z/y).
Theta_45_degree_down_sphere (theta_2): theta_1+45.
d_x_rotated_45_degrees_down: same as d_x_upright.
d_y_rotated_45_degrees_down: cos(theta_2)*l.

2. 2
d_z_rotated_45_dgrees_down: -sin(theta_2)*l.
Check the cardinal points, whilst plotting.
Multiply the d_x_upright, d_y_upright, and d_z_upright, by the same factor, to adjust the radius of the sphere.
2023/10/12.