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How to find the great circle angle given two points on the surface of the sphere?

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Alan0354

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Hi
I am not familiar with spherical geometry. I am working with elliptical polarization that involves using poincare sphere that present the latitude and longitude angle in spherical geometry. I need to find the great circle angle if given two points that each specified by their longitude angle \[ 2\tau\] and latitude angle \[ 2\chi\].

ie. If I am given the \[ \chi \] and \[\tau\] of \[M_{1}(\tau_{1},\chi_{1})\] and \[M_{2}(\tau_{2},\chi_{2})\], how can I find the great circle angle between \[M_{1}(\tau_{1},\chi_{1})\] and \[M_{2}(\tau_{2},\chi_{2})\]?

I really don't want to learn the details of spherical geometry, just want to learn the way of finding the angle as this is only a small part of antenna design.

Thanks

Alan
 

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