Hello Daves and others:
 
This has all been very interesting and eductional!  Yesterday morning at 9:00, when the sunlight first hit the sundial, I carefully measured the distance of the center of nodus shadow from the equinox line on my Flandrau Heliochronometer. This point was 3 millimeters south of the line and 27 cm) west of the meridian (high noon).  I measured again at 4:05 pm and the center of the shadow was directly over the equinox line 31 cm east of the meridian!
 
This was all very gratifying because it showed that the nodus was correctly designed, constructed and installed. I also saw with my own eyes that it is true that the equinox line on a sundial does not exactly show the path of the sun during the day because the declination changes rapidly throughout the day. The shadow actually traveled from a point south of due west towards a point slightly to the north of due east. (I calculate that this equals about .6 of a degree off of due west to east).
 
This small deviation is probably too small to be seen on small dials, but was quite noticible on my heliochronometer. 
 
The important lesson I learned was that to check the functioning of the nodus, you should observe its shadow when the solar declination equals zero, not when it is equinox.  If this moment occurs at night, you're out of luck. Because if you check it the next day, the shadow will already be north of the equinox line.
 
Thanks you all for your help with the numbers. 
 
Can't wait to check it each time a cusp rolls around!
 
John
 
John L. Carmichael Jr.
Sundial Sculptures
925 E. Foothills Dr.
Tucson Arizona 85718
USA
 
Tel: 520-696-1709
Email: [EMAIL PROTECTED]
Website: <http://www.sundialsculptures.com>
----- Original Message -----
Sent: Saturday, September 22, 2001 8:32 PM
Subject: RE: equinox solar declination

Dear John,
 
Here are the correct figures for 7hours west of Greenwich (my mistake earlier setting it to 6hrs)
 
I calculated what you need (according to Meeus' truncated VSOP87 theory):
 
Time (Tucson, AZ) Declination (Degrees:Minutes:Seconds)
 2001/09/22 08:50:00.0000 [+7 gives UT]
 
 0:07:03.0740
 2001/09/22 08:55:00.0000 [+7 gives UT]
 
 0:06:58.2075
 2001/09/22 09:00:00.0000 [+7 gives UT]
 
 0:06:53.3410
 2001/09/22 09:05:00.0000 [+7 gives UT]
 
 0:06:48.4745
 2001/09/22 09:10:00.0000 [+7 gives UT]
 
 0:06:43.6080
September Equinox
 2001/09/22 16:04:30.6638 [+7 gives UT]
 
 0:00:00.1298
September Declination Zero
 2001/09/22 16:04:38.5840 [+7 gives UT]
 
 0:00:00.0000
I used The Sun API (www.sunlitdesign.com/products/thesunapi) and Excel.
 
By way of example: the time of the September Equinox may be found using the Find Annual Feature function    The Find Annual Feature function takes two parameters.  The first is any date in the year that is to be searched and the second is the feature that we are searching for.  The Find Annual Feature function returns a Modified Julian Day.
 
sdxFindAnnFeatx(sdMJDx(2001,1,1,0,0,0,6),sdFeatEquinoxSep())
        =  "52174.9614660165<MJD> 52174.9614660165</MJD><TimeZone>6</TimeZone>"
 
Repeating the example and using the Time To Text function gives us the calendar day for Tucson, AZ
 
sdxTime2Text(sdxfindannfeatx(sdmjdx(2001,1,1,0,0,0,6),sdfeatequinoxsep()))
    = " 2001/09/22 17:04:30.6638 [+6 gives UT]"
 
These numbers above agree nicely with: 

  http://aa.usno.navy.mil/data/docs/EarthSeasons.html

 
Regards
 
David Pratten
Author - The Sun API
 
-----Original Message-----
From: [EMAIL PROTECTED] [mailto:[EMAIL PROTECTED]On Behalf Of John Carmichael
Sent: Saturday, 22 September 2001 8:53 AM
To: [email protected]
Subject: equinox solar declination

Hi all:
 
I'm getting this message out a little late, but tomorrow on the equinox,  I'd like to check the solar declination of the nodus's shadow. (Of the Flandrau heliochronometer). I want to see if the center of the shadow is centered exactly on the 0 degree line at the exact moment of equinox.
 
My astronomical calendar says that the equinox occurs here (in Tucson AZ) at exactly 4:05 pm.  But since the declination is changing so quickly this time of year, I'm wondering if the shadow will be exactly on the 0 dec. line in the morning too.
 
Does anybody know what the solar declination is at around 9:00 my time?  (6 hours and 55 minutes before the actual equinox).  I wonder if I'll be able to detect this small amount?
 
Thanks 
John
 
John L. Carmichael Jr.
Sundial Sculptures
925 E. Foothills Dr.
Tucson Arizona 85718
USA
 
Tel: 520-696-1709
Email: [EMAIL PROTECTED]
Website: <http://www.sundialsculptures.com>

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