Re: Winter Solstice at Newgrange, Ireland

2007-12-24 Thread Frank King
Dear Warren, Many thanks for supplying Bill Gottesman's comments which I very much take to heart. Getting good sightings at sunrise and sunset in real life is seriously challenging and even when you are in luck, the shadows are weak and the effect of refraction is at its greatest and you have to

Re: Winter Solstice at Newgrange, Ireland

2007-12-24 Thread Frank King
Dear Geoff, Yes, you are absolutely right. Silly me for not spotting a trivial simplification! It is, indeed, much neater to write: cos(az)=sin(dec)/cos(lat) This also readily shows that reversing the sign of the declination results in 180 degrees being added to (or subtracted from)

Dialling Puzzle for Christmas Eve

2007-12-24 Thread Frank King
Dear All, The BBC has been trailing their broadcast of the Christmas Eve Carol Service from King's College here in Cambridge with this introduction... At 3 o'clock, just as the shadows begin to lengthen,... My first thought was that shadows begin to lengthen immediately after 12 noon but, on

RE: Dialling Puzzle for Christmas Eve

2007-12-24 Thread The Thurstons
Frank, The west-declining vertical dial on the side of my house has a gnomon shadow which shortens until about 1440hrs and then lengthens. A hasty (and therefore unreliable) calculation suggests that a vertical dial declining about 38 degs west of south in the latitude of Cambridge might

Azimuth of Sunrise - Sunset

2007-12-24 Thread Jack Aubert
Thank you all for the answer(s) to this little problem and for the bread-crumb trail to try to retrace the derivation. My original question was sparked by wondering about the maximum deviation from east-west at the solstice(s) so I could display my erudition and bore people with comments

Azimuth of Sunrise/Sunset

2007-12-24 Thread James E. Morrison
I have not been able to follow this thread in detail during the holiday turmoil, but it seems appropriate to note that my program, The Electric Astrolabe (astrolabes.org/electric.htm) is very good at showing this sort of thing both visually and numerically. You can even find the differences

Re: Dialling Puzzle for Christmas Eve

2007-12-24 Thread Frank King
Dear Geoff, Yes, I agree with your hasty calculation (having taken far longer than you to do it!)... A hasty ... calculation suggests that a vertical dial declining about 38 degs west of south in the latitude of Cambridge might experience its shortest shadow around 1500hrs. This was one of

Re: Azimuth of Sunrise - Sunset

2007-12-24 Thread Roger Bailey
Hi Jack, Frank and al, Your question What is the path of the sun at sunrise or set? is a good one. The answer given by Frank is simple and subtle. Actually it is a Smart question, posed by W. M. Smart in his Textbook on Spherical Trigonometry. Prof Smart leaves it as a question to be solved by

RE: Azimuth of Sunrise - Sunset

2007-12-24 Thread Robert Terwilliger
How about a single (composite) photo of the sun rising AND setting on the Winter Solstice? http://apod.nasa.gov/apod/ap071222.html Bob --- https://lists.uni-koeln.de/mailman/listinfo/sundial

Re: Azimuth of Sunrise - Sunset

2007-12-24 Thread Frank King
Dear Jack, I enjoyed your the motivation... My original question was sparked by wondering about the maximum deviation from east-west at the solstice(s) so I could display my erudition and bore people with comments like: The sun rises in the East and sets in the West, right? Well, not

Ho Ho Ho!

2007-12-24 Thread stephen_irick
Another year and the sun is still shinning. Merry Christmas and a Happy New Year to all. Steve Irick Yorktown Va USA--- https://lists.uni-koeln.de/mailman/listinfo/sundial

Re: Azimuth of Sunrise - Sunset

2007-12-24 Thread Dave Bell
Robert Terwilliger wrote: How about a single (composite) photo of the sun rising AND setting on the Winter Solstice? http://apod.nasa.gov/apod/ap071222.html Bob Beautiful!! Be sure to click through to the photographer's pages. Some great astronomical and travel photos. The pages of