Calculus and Plot of a simple polar stereographic projection

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Valentin Reichel 2019 年 8 月 1 日
Answered: Divya Yerraguntla 2019 年 8 月 7 日
Hey I wonder if anyone could give me a hand or some tips, since i am new to matlab trying to figure out the following problem.
I wanted to create a small programm which represents a polar stereographic projection. It should contain a sphere, with polarcoordinates ( latitude lambda, longitude phi). The projection centre should be in the north pole and on the opposing side there should be a tangent plane with coordinates ( alpha and m ). I want to insert any point A on the sphere with coordinates ( lambda and phi) and the programm calculates the procetion point A' on the tangental plane with coordinates ( alpha and m).
Calculus for coordinates of the Procetion point A'(m,alpha)
m=2 r (radius of the sphere) tan(((pi/2)-phi)/2) where phi is the first coordinate of the inserted point A
alpha = lambda where lambda is the second coordinate of the inserted point A
And i wanted to plot the sphere, the projection centre, the tangental plane and both points A and A'.
I would be happy about an answer. Have a great day, Valentin

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Divya Yerraguntla 2019 年 8 月 7 日

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