I have prepared a new version of /gmath/, the gnomonics add-on for Microsoft Excel that was announced in NASS' Compendium 24:4 (December 2017).

Documentation for the new version is available as a PDF file at http://va7lel.ca/sundial/gmath.pdf

The updated Excel Add-In is available for download from http://va7lel.ca/sundial/gmath.xlam

Existing installations can be updated by overwriting the gmath.xlam file in your Microsoft Add-Ins folder (see documentation). You must do it while Excel is _not_ running.

_Bug fix_

Values returned by the functions /geot/ and /gdcl/ were systematically wrong. When compiling the associated tables, I forgot to specify noon as the required time of day, meaning the functions always returned values applicable to the previous midnight. In the case of Equation of Time values returned by /geot/, this resulted in an error of less than about 0.1 seconds. In the case of solar declination returned by /gdcl/, the discrepancy was insignificant at the solstices but as much as 0.2 degrees near the equinoxes. The functions /geoted/ and /gdcled/ were not affected by the bug.

_Other changes_

Functions based on formulae involving the obliquity of the elliptic now include an adjustment for nutation. For ordinary sundialing purposes the change is insignificant: the new obliquity values differ from the originals by only about 9 arcseconds.

The new version retains an existing circumvention for a deficiency in Excel 2011 for Mac which led to failure of some gmath functions.


Cheers,

Steve Lelievre


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