Saturday, September 21, 2013

Shadows of Butcher's Corner Development

(Edit 9/22/2013:  This is for Summer shadows.  The Winter shadow analysis is here:
http://calpensionsbrief.blogspot.com/2013/09/butchers-corner-shadows-pt-2-winter.html
Time zone error is corrected.)

The sun's elevation above the horizon in degrees and it's
azimuth (degrees clockwise from North = 0 degrees) for any location are available at:

http://www.esrl.noaa.gov/gmd/grad/solcalc/

Based on this, using June 20, 2013 (Pacific Daylight Time) for Butcher's Corner and using the following trigonometric method I calculated the shadow cast by a building of 75 ft and 100 ft


The results from a spread-sheet are:

Time (PDT) Angle of Elevation Tan (Elevation) Shadow of  75 ft Bldg Shadow of  100 ft Bldg Azimuth
6:00 AM 1.7 0.03 2604 3472 61.1
7:00 AM 12.2 0.22 347 463 69.7
8:00 AM 23.6 0.44 172 229 77.7
9:00 AM 35.4 0.71 106 141 85.9
10:00 AM 47.3 1.08 69 92 95.1
11:00 AM 59.0 1.66 45 60 107.4
12:00 PM 69.6 2.69 28 37 128.0
1:00 PM 75.9 3.98 19 25 170.8
2:00 PM 72.4 3.15 24 32 221.3
3:00 PM 65.6 2.20 34 45 247.3
4:00 PM 51.1 1.24 61 81 261.4
5:00 PM 39.3 0.82 92 122 271.3
6:00 PM 27.4 0.52 145 193 279.7
7:00 PM 15.9 0.28 263 351 287.7
8:00 PM 4.9 0.09 875 1166 296.0

Selected results overlayed on a photo-map of the area are seen below:
(edit 9/21/13: the earth tilts on its axis of rotation so during the Summer when it is tilting towards the Sun, the Sun appears to rise East of North East and set West of North West.  So the early shadow will be a bit South as well as mostly West.)

For a 100 ft building at 7 AM
Shadow of 100 ft building at 7 AM PDT, Sun at 12 deg. elevation, 70 deg azimuth

For a 100 ft building at 9 AM

For 100 ft building at 10 AM





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