Chronology Current Month Current Thread Current Date [Year List] [Month List (current year)] [Date Index] [Thread Index] [Thread Prev] [Thread Next] [Date Prev] [Date Next]

# Re: spherical geometry

Regarding Ludwik's request:

I am trying to address Carl's problem in my own way but I need help.

Consider a point A located on a sphere of unit radius. The polar
axis of the sphere, z on my picture, is vertical. The two spherical
coordinates of A are TET (polar angle) and PHI (azimuthal angle).

Another polar axis, z', is chosen. Its orientation, in the old
frame, is specified by ALPHA (polar) and BETA (azimuthal). How are
new polar coordinates, TET' and PHI', expressed in terms of old
polar coordinates? I realize that the transformation is not as
simple as for xy and x'y'.

Ludwik Kowalski

Ludwik, did you look at the .pdf document that Carl posted at
http://usna.edu/Users/physics/mungan/Scholarship/Triangle.pdf ?
It clearly explains exactly this situation and even has a diagram
that nicely illustrates things. (You don't even have to learn