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didereaux wrote:
"Ron Gibbs" wrote in message . .. Hi everyone: I'm new to this group, and looking for assistance. I've been struggling to get to grips with 3D spherical geometry, and I could use some good references to useful books and/or online resources. My problem is to transform azimuth/elevation coordinates to the relative azimuth/elevation as measured from a tilted observation plane. I have been trying to work through the compound angle calculations from first principles, but it occurs to me that this must have been done before. This is not student homework; I am a professional optical engineer working on solar collection systems. I now think I can do this, using 3D rotation matrices, and transforms between spherical polar and cartesian coordinates. Ron Not the sole method, but look to Calculus. Specifically Translation of Axis, usually calc II level. Not particularly demanding, but can be tedious. I recall making something of a project of this in sixth year high school. It's possible in ordinary trig (I had no idea spherical trig even existed at the time) but it takes a lot of concentration and messing about with equations. I probably couldn't do it to save my life today. FoFP -- "Our entire banking system is a complete disaster. In my opinion, nearly ever major bank would be insolvent if they marked their assets to market." -- Head of hedge fund Lahde Capital, which made 1000% return betting against subprime. Financial Times 26/11/07 |
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