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A Community Devoted to the Preservation and Practice of Celestial Navigation and Other Methods of Traditional Wayfinding
Re: Haversine- how to derive it?
From: Greg Rudzinski
Date: 2015 May 17, 20:49 -0700
From: Greg Rudzinski
Date: 2015 May 17, 20:49 -0700
John,
The haversine of 90° = .5 , 180° = 1.0 vs. versine 90° = 1.0 . Haversines eliminate rules for versine of meridian angles larger than 90° and versines of latitude + declination sums larger than 90°.
Greg Rudzinski
From: John Brown
Date: 2015 May 17, 15:46 -0700Hanno
Your list of virtues of the haversine are IDENTICAL to those of the versine, so why do we need to divide by 2?
For example the formula: vers ZD = vers LHA. cos lat. cos dec + vers (lat +/~ dec) works just as well as the traditional formula, substituting versines for the haversines and using both natural and log functions.
Could a mathematician or a navigation historian on this list please explain why the versine is the poor relation of its half-size parent??
Regards
John
