plot conical surface knowing circle points cordinates and vertex cordinates

Hello everybody,

I need to draw a conical surface that links the points of a circle (for which i have the cartesian coordinates) and a vertex point ( for which I have the cartesian coordinates too). The porpouse is to draw a conical coverage beam of a satellite of which i know the orbital coordinates (vertex) and the projection converage area edge points on the planet surface.

I can't figure it out how to do it. Some help would be really apprecciated.

Thank you very much!

Answer 1

[Star Strider]

Two options —

r = [5; 0.01];                                                                  % [lower radius; upper radius]
t = linspace(0, 2*pi,200);                                                      % Parameter
xy = [cos(t); sin(t)];                                                          % Generic Circle

figure
surf(r.*[xy(1,:); xy(1,:)], r.*[xy(2,:); xy(2,:)], [0; 25].*ones(2,numel(t)))
colormap(turbo)
shading('interp')
axis('equal')

[X,Y,Z] = cylinder(r,200);

figure
surf(X,Y,[0;25].*Z)
colormap(turbo)
shading('interp')
axis('equal')

.