NavList:
A Community Devoted to the Preservation and Practice of Celestial Navigation and Other Methods of Traditional Wayfinding
From: Rafael C. Caruso
Date: 2022 Aug 6, 11:24 -0700
Herman Dekker, you wrote:
"I wondered why the conversion of minutes of arc to degrees, mostly gives values with repetitive figures.
[ ] Is this caused by the 60 number system?"
I believe you are right, and that this is due to converting from the decimal system to the sexagesimal system which we inherited from the Sumerians, and still use for measurements of time and angles. They invented an amazing number of things, but not handheld calculators, so they chose base 60 numbers, probably to make divisions simpler if all you have is a clay tablet and a stylus, as 60 has many factors.
The fractional part of the values in your table, with recurring decimals, result from what is equivalent to dividing 1/6 (figures of the form ... 666 ...) and 2/6 (figures of the form ... 333 ...). Each third fractional row is a terminating decimal which doesn't have recurring figures, as is results from from what is equivalent to dividing 3/6 (fractional parts ending in 5) or 6/6 (fractional parts ending in any other number). I'm not aware of other occurrences of these specific figures in CelNav.
Kind regards,
RafaelC