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					                                                                                                                                                                                  Solar Angles




Latitude                  34.853 Day          Hour        Minute   Second    T          Time      IF Time    IF Time      Theta     G                   EPS
                                                                                                                                             Longitude of the Sun Sin of L A1   A2                 ascention DECL
                                                                                                                                                                                        RA = Right IF RA            ST       IF ST    S        IF S               Sin of the E =        A         IF Angle E in Degrees
                                                                                                                                                                                                                                                        H = Hour angle of E Sun Elevation = Azimuthal A               Declination in Degrees
Longitude                 87.687           45         12         0         0         18     44.75      43.75      43.75    0.752606 0.721315 5.676015 0.40914 -0.57055 -0.52345 0.821266 -0.56745 5.715736 -0.22897 2.511957 2.511957 5.693919 5.693919 0.021817 0.669303 0.733271 1.63859 1.63859 42.01331             -13.119
Year                        1980
Zone                            6
Twopi                  6.283185                                    For date          45                                   For hour         12                            Ht of object casting shadow          100
Rad                    0.017453                                    Table by Declination Azimuthal Elevation               Table by Decliation Azimuthal Elevation        Radial distance
Dasvtm                          0 (set to 1 when in effect)        Hours          -13.1       1.6       42.0              Days          -13.1       1.6       42.0                   X in        Y in
Delyr                           0                                          5      -13.2      88.0      -20.7                      1     -23.0      -1.6       32.1            159.4         -4.4      159.3
Leap                            0                                          6      -13.2      79.8       -8.5                     15     -21.2       0.0       34.0            148.4          0.0      148.4
PHI                       0.6083                                           7      -13.2      71.3        3.4                     32     -17.2       1.3       38.0            128.2          2.9      128.2
Azimuthal Angle               1.6                                          8      -13.2      62.0       14.7                     46     -12.8       1.6       42.4            109.7          3.1      109.6
Elevation                    42.0                                          9      -13.2      50.9       25.0                     60      -7.7       1.2       47.4             91.8          1.9       91.8
                                                                          10      -13.1      37.3       33.6                     74      -2.3      -0.1       52.9             75.7         -0.1       75.7
                                                                          11      -13.1      20.7       39.6                     91       4.4      -2.6       59.5             58.8         -2.6       58.7
Time Zones                                                                12      -13.1       1.6       42.0                    105       9.7      -5.2       64.7             47.2         -4.3       47.0
Eastern                         5                                         13      -13.1     -17.7       40.3                    121      15.0      -8.6       69.9             36.5         -5.4       36.1
Central                         6                                         14      -13.1     -34.8       34.8                    135      18.8     -11.0       73.7             29.3         -5.6       28.7
Mountain                        7                                         15      -13.1     -48.9       26.6                    152      22.0     -11.9       76.9             23.2         -4.8       22.7
Pacific                         8                                         16      -13.1     -60.3       16.6                    166      23.3     -10.2       78.3             20.7         -3.7       20.4
                                                                          17      -13.0     -70.0        5.4                    182      23.1      -6.3       78.2             20.9         -2.3       20.7
Lat and long are positive north and west.                                 18      -13.0     -78.6       -6.4                    196      21.6      -3.4       76.7             23.6         -1.4       23.6
Azimuthal Angle of 0 is south.                                            19      -13.0     -86.8      -18.6                    213      18.1      -2.4       73.2             30.1         -1.3       30.1
                                                                                                                                227      14.1      -3.2       69.3             37.8         -2.1       37.8
Feedback to Bill Rogers 102136.1413@compuserve.com                                                                              244       8.4      -5.0       63.5             49.9         -4.4       49.8
Equations from "Solar Energy", Vol 20, pp 393=397 and Vol 22 p 195                                                              258       3.1      -6.6       58.1             62.2         -7.1       61.8
                                                                                                                                274      -3.1      -7.9       51.8             78.7        -10.7       77.9
                                                                                                                                288      -8.4      -8.4       46.4             95.2        -13.9       94.2
                                                                                                                                305     -14.3      -8.2       40.4            117.3        -16.7      116.1
                                                                                                                                319     -18.4      -7.3       36.4            135.5        -17.2      134.5
                                                                                                                                335     -21.8      -5.7       33.2            152.9        -15.1      152.2
                                                                                                                                349     -23.3      -3.9       31.8            161.3        -10.9      160.9
                                                                                                                                364     -23.2      -1.9       31.9            160.4         -5.2      160.3




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