NavList:
A Community Devoted to the Preservation and Practice of Celestial Navigation and Other Methods of Traditional Wayfinding
From: Antoine Couëtte
Date: 2012 Aug 7, 21:18 -0700
Andrew,
I have not devised of a secret label pin yet ... but a warm handshake, YEEESSS !!!! , you definitely deserve one :-)
If you dig this subject a bit further, and whatever the radius and even the exact flattening of the ellipsoid body from which the star heights are observed (the Earth in our case), and if the 3 observed heights were "simultaneous and perfect" as well as adequately distributed over the horizon - i.e. such as there is 1 unique intersection point between the 3 plans - then your derived fix would be "exact" too - even on any ellipsoid (with a symmetrical shape around its North South axis) -, simply because in the case of stars, there is neither height parallax nor azimuth parallax.
Best Regards
Kermit
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