NavList:
A Community Devoted to the Preservation and Practice of Celestial Navigation and Other Methods of Traditional Wayfinding
From: h.a.c. van Asten
Date: 2012 May 1, 00:54 -0700
In the 1940 issue those tables are named no. 8 , 9 & 10 . The no.10 explanation says that for aircraft using the bubble sextant , the observed altitude must be corrected for refraction only (as is always the case for bubble sextants). For conservative celnav , bubble sextants are now (contrary to the 1930-1940 era) commonly in use . Table 9 (1940) was for short distances only , no dip applied . Table 8 (d=1.15 x sqrt h automatically contains horizon dip . Is this possibly the answer to your question ?
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