Copernicus reflecting dial

2015-04-06 Thread mlose
Hello,

As of reflecting dials, a Copernican one must be recalled.

On the wall of the gallery of Olsztyn castle, there are remnants of the 
reflecting dial made by Copernicus during his stay in the castle in years 
1516-21, from where he administered diocese of Warmia.
Actually this is the only extant Copernican instrument.
It is thought that the original reflective surface was a liquid - mercury or 
wine (!), put in the bowl on the sill of one of the arched openings of the 
gothic gallery. 

Here is a link to a short movie presenting the dial, its spatial context and 
how it operated:
http://copernicus.torun.pl/nauka/astronomia/5/?view=filmfile=4

And below are links to papers or web pages were more information on this dial 
can be found:
http://ptfit.sgp.geodezja.org.pl/wydawnictwa/miedzyzdroje/calosc_18b_1.pdf  
(pp. 387-395.)
http://dydaktyka.fizyka.umk.pl/hipst/pliki/1/Artyk_o_kalendarzu_cz_1.pdf
http://gnomonika.pl/news.php?id=33

Similar reflecting dials were constructed in Rome in mid 17th century by 
Maignan, but I don't know if any is preserved to our times.
Our Italian diallists will surely know it !

Regards,

Maciej Lose



Od: Claude Hartman sunlightdesi...@earthlink.net
Do: sundial@uni-koeln.de; 
Wysłane: 20:18 Wtorek 2015-03-31
Temat: Reflecting Dials

 I am looking for photographs of reflecting dials other than ceiling 
 dials.The recent note about the village of
 Aiello del Friuli has shown several. What other locations are there?
 
 Contact off list if you wish.   I hope to make a list of all known 
 examples and types.
 
 Many thanks,
 Claude Hartman
 35N  120W
 ---
 https://lists.uni-koeln.de/mailman/listinfo/sundial
 
 


---
https://lists.uni-koeln.de/mailman/listinfo/sundial



Making Dials with plane mirrors

2015-04-06 Thread Claude Hartman

Some readers have asked How can you make such a dial?

I would love to hear from an author of such dials to hear how it is done 
in less than a year of marking points.

How did they do it?

Computer software certainly makes it easier.  The popular Zonwvlak, 
ZW2000, has long had a reflection function and one could play with 
choosing distance and angles until satisfied.  I have managed to find 
that more recently three programs have been modified or specifically 
written to aid in design and construction of reflected dials.


On the web site of Riccardo Anselmi you can find Cartesius Mirror, see:
 
http://sundials.anselmi.vda.it/AWA_2_GenericDocumentDynamic.aspx?p1=Softwarep2=Software%20realizzatip3=Software
I have not tried it but it seems very numeric.

As mentioned previously, Gianni Ferrari's program, Reflsun, can be found 
in the Compendium, March 2004.  It also is seems very numeric although 
special diagrams are employed.


My favorite is the new edition of Gian Casalegno’s freeware, Orologi 
Solari.  It  was part of the digital bonus of the Compendium, December 
2014.  It is available on line at http://www.sundials.eu/indexENU.htm


Here is the note sent by the author,
The main new feature is the addition of reflection sundials to the hour 
angle family of dials. As usual all
the features of OS are now available for this new type of dial: all 
types of hour lines, simulation, lighting
conditions computation, true horizon computation and use etc. Moreover 
to facilitate the placement of
the mirror, tools similar to those already provided by Gianni Ferrari 
software (thanks Gianni) have been
added: calculation of the position of the light spot at desired time 
instants, calculation of the orientation of
the mirror from one or more measurements of the coordinates of the light 
spot.
An original feature that I think can be very useful is to change the 
orientation of the mirror with the
mouse (left button + shift key pressed) and to see in real time on the 
screen the changes in the hour lines
pattern. When combined with the ability to insert a correctly sized 
photo of the wall behind the dial, this

tool allows you to easily find the optimum orientation of the mirror.
A tutorial specifically dedicated to the design and construction of 
reflection sundials is available at the
address  (http://www.sundials.eu/download/riflessioneENU.pdf)(See 
digital bonus.) I
hope it can be helpful in order to learn all the new features of the 
program. This new release also includes
the new tables by Gianni Ferrari (thanks again Gianni) containing the 
mean values of the Equation of

Time and of the Sun Declination for years from 2014 to 2061.

Thank you Gian!

---
https://lists.uni-koeln.de/mailman/listinfo/sundial



The other Mayall Mayall formula (in the wikipedi article notes) likewise gives the correct answer.

2015-04-06 Thread Michael Ossipoff
The other of the 2 Reclining-Declining formulas listed in the notes, at the
bottom of the wikipedia Sundial article, likewise gives correct answers.

Again, using:

Lat = 51.5
Incline = 45
Decline direction = 45 degrees left of south

...The Mayall  Mayall formula, in the article's notes, for Hrd--gives the
correct answer for the angle between the 8:00 a.m. line and the noon line
on the dial.

If the line for a particular hour is counterclockwise from the noon line,
then that answer is given as negative, (or maybe under some circumstances,
as the positive number consisting ofthe sum of that negative + 360).

Let me repeat some things about the use of those formulas:

Where Hrd1 and Hrd2 appear at the left side of the two equations, Hrd1
should be replaced by tan Hrd1, and Hrd2 should be replaced by tan Hrd2.

The equation Hrd = Hrd1 + Hrd2 is correct as shown.

D, the decline direction, is measured from north. It's the azimuth that the
dial is facing.

R, the recline, is measured from the horizontal. (Nowadays that's probably
more often called incline and represented by I).

So, both of the Mayall  Mayall Reclining-Declining formulas in the notes
at the bottom of the wikipedia Sundial article are correct, and give the
correct answer.

MichaelOssipoff
---
https://lists.uni-koeln.de/mailman/listinfo/sundial