Hello Steve,

Based on your discovery and to prove that from the vernal equinox to the 
autumnal equinox for a certain time to sunset the sun altitude is approximately 
equal, I made calculations and a graph showing that this is the case for 1, 2, 
3 and 4 hours to sunset.

Willy Leenders
Hasselt in Flanders (Belgium)

Visit my website about the sundials in the province of Limburg (Flanders) with 
a section 'worth knowing about sundials' (mostly in Dutch): 
http://www.wijzerweb.be





Op 6-nov-2017, om 02:15 heeft Steve Lelievre het volgende geschreven:

> I have been doing some calculations for an Hours To Sunset dial (that is, an 
> Italian Hours dial with the numbering running backwards). I discovered that 
> the maximum altitude for a given hour does not occur at the summer solstice.  
> I was a little surprised to discover this - not amazed, but surprised enough 
> to make me wonder if I have done my calculations wrong.
> 
> The attached diagram is for the example case of 4 hours before sunset. I'm 
> getting a double maximum occurring a little after the vernal equinox and a 
> little before before the autumnal equinox. I get similarly shaped curves for 
> others hours, with less separation between the peaks when I use higher 
> (italian) hour numbers. 
> Assuming that I have in fact graphed the altitude correctly, it means is that 
> there is a period over the summer months when the altitude for any given hour 
> to sunset stays approximately the same. In my case, at 49N, it seems that 
> over the summer months, the solar altitude for 1 hour to sunset is 
> approximately a little under 10 degrees, 2 hours to sunset is approximately a 
> little under 20 degrees, and so on at a little under 10 degrees per hour, at 
> least for the last 5 to 6 hours of the day.
> In this day and age, I think we would demand greater accuracy, but have there 
> ever been sundials or other devices that exploited this approximation?
> 
> Steve
> <ejimonchepokegka.png>
> ---------------------------------------------------
> https://lists.uni-koeln.de/mailman/listinfo/sundial
> 

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