Solar direct horizontal illuminance for ZE = 15 cmag: 12 6 0 -22.09 54.15 1.01 8.9E+4 6.5 15.0 185.6 12 12 0 -19.68 54.50 1.01 8.9E+4 6.5 15.0 185.6 12 18 0 -17.24 54.81 1.01 9.0E+4 6.5 15.0 185.5 12 24 0 -14.76 55.07 1.01 9.0E+4 6.5 15.0 185.5 12 30 0 -12.25 55.30 1.01 9.0E+4 6.5 15.0 185.4 12 36 0 -9.72 55.49 1.01 9.0E+4 6.5 15.0 185.4 12 42 0 -7.17 55.63 1.01 9.1E+4 6.5 15.0 185.3 12 48 0 -4.61 55.73 1.01 9.1E+4 6.5 15.0 185.2 12 54 0 -2.03 55.78 1.01 9.1E+4 6.5 15.0 185.2 13 0 0 0.55 55.80 1.01 9.1E+4 6.5 15.0 185.1 13 6 0 3.12 55.76 1.01 9.1E+4 6.5 15.0 185.1 13 12 0 5.69 55.69 1.01 9.1E+4 6.5 15.0 185.0 13 18 0 8.25 55.57 1.01 9.1E+4 6.5 15.0 185.0 13 24 0 10.79 55.40 1.01 9.0E+4 6.5 15.0 184.9 13 30 0 13.31 55.20 1.01 9.0E+4 6.5 15.0 184.9 13 36 0 15.80 54.95 1.01 9.0E+4 6.5 15.0 184.8 13 42 0 18.27 54.66 1.01 8.9E+4 6.5 15.0 184.7 13 48 0 20.70 54.33 1.01 8.9E+4 6.5 15.0 184.7 13 54 0 23.09 53.97 1.01 8.8E+4 6.5 15.0 184.6 14 0 0 25.45 53.56 1.01 8.8E+4 6.5 15.0 184.6 14 6 0 27.76 53.12 1.01 8.7E+4 6.5 15.0 184.5 14 12 0 30.03 52.65 1.01 8.7E+4 6.5 15.0 184.5 14 18 0 32.25 52.14 1.01 8.6E+4 6.5 15.0 184.4 14 24 0 34.43 51.60 1.01 8.5E+4 6.5 15.0 184.4 14 30 0 36.56 51.03 1.01 8.4E+4 6.5 15.0 184.3 14 36 0 38.65 50.43 1.01 8.4E+4 6.5 15.0 184.3 14 42 0 40.69 49.80 1.01 8.3E+4 6.5 15.0 184.2 14 48 0 42.68 49.15 1.01 8.2E+4 6.5 15.0 184.1 14 54 0 44.62 48.47 1.01 8.1E+4 6.5 15.0 184.1 15 0 0 46.52 47.77 1.01 8.0E+4 6.5 15.0 184.0 15 6 0 48.38 47.05 1.01 7.9E+4 6.5 15.0 184.0 15 12 0 50.19 46.30 1.01 7.8E+4 6.5 15.0 183.9 15 18 0 51.96 45.54 1.01 7.6E+4 6.5 15.0 183.9 15 24 0 53.69 44.76 1.01 7.5E+4 6.5 15.0 183.8 15 30 0 55.38 43.96 1.01 7.4E+4 6.5 15.0 183.8 15 36 0 57.04 43.14 1.01 7.3E+4 6.5 15.0 183.7 15 42 0 58.65 42.31 1.01 7.1E+4 6.5 15.0 183.6 15 48 0 60.23 41.47 1.01 7.0E+4 6.5 15.0 183.6 15 54 0 61.78 40.61 1.01 6.8E+4 6.5 15.0 183.5 16 0 0 63.30 39.74 1.01 6.7E+4 6.5 15.0 183.5 16 6 0 64.78 38.85 1.01 6.5E+4 6.5 15.0 183.4 16 12 0 66.24 37.96 1.01 6.4E+4 6.5 15.0 183.4 16 18 0 67.67 37.06 1.01 6.2E+4 6.5 15.0 183.3 16 24 0 69.07 36.15 1.01 6.1E+4 6.5 15.0 183.3 16 30 0 70.45 35.23 1.01 5.9E+4 6.5 15.0 183.2 16 36 0 71.81 34.30 1.01 5.7E+4 6.5 15.0 183.2 16 42 0 73.14 33.36 1.01 5.6E+4 6.5 15.0 183.1 16 48 0 74.45 32.42 1.01 5.4E+4 6.5 15.1 183.0 16 54 0 75.74 31.47 1.01 5.2E+4 6.5 15.1 183.0 17 0 0 77.02 30.52 1.01 5.0E+4 6.5 15.1 182.9 17 6 0 78.27 29.56 1.01 4.8E+4 6.5 15.1 182.9 17 12 0 79.51 28.60 1.01 4.7E+4 6.5 15.1 182.8 17 18 0 80.74 27.63 1.01 4.5E+4 6.5 15.1 182.8 17 24 0 81.95 26.66 1.01 4.3E+4 6.5 15.1 182.7 17 30 0 83.14 25.69 1.01 4.1E+4 6.5 15.1 182.7 17 36 0 84.33 24.71 1.01 3.9E+4 6.5 15.1 182.6 17 42 0 85.50 23.73 1.01 3.7E+4 6.5 15.1 182.5 17 48 0 86.67 22.76 1.01 3.5E+4 6.5 15.1 182.5 17 54 0 87.82 21.78 1.01 3.3E+4 6.5 15.1 182.4 18 0 0 88.97 20.79 1.01 3.1E+4 6.5 15.1 182.4 18 6 0 90.10 19.81 1.01 2.9E+4 6.5 15.1 182.3 18 12 0 91.23 18.83 1.01 2.7E+4 6.5 15.1 182.3 18 18 0 92.36 17.85 1.01 2.5E+4 6.5 15.1 182.2 18 24 0 93.48 16.87 1.01 2.3E+4 6.5 15.1 182.2 18 30 0 94.59 15.89 1.01 2.2E+4 6.5 15.1 182.1 18 36 0 95.70 14.92 1.01 2.0E+4 6.5 15.1 182.1 18 42 0 96.81 13.94 1.01 1.8E+4 6.5 15.1 182.0 18 48 0 97.91 12.97 1.01 1.6E+4 6.5 15.1 181.9 18 54 0 99.02 12.00 1.01 1.4E+4 6.5 15.1 181.9 19 0 0 100.12 11.03 1.01 1.2E+4 6.5 15.1 181.8 19 6 0 101.22 10.07 1.01 1.0E+4 6.5 15.1 181.8 19 12 0 102.32 9.10 1.01 8.8E+3 6.5 15.1 181.7 19 18 0 103.42 8.15 1.01 7.2E+3 6.5 15.1 181.7 19 24 0 104.53 7.20 1.01 5.7E+3 6.5 15.1 181.6 19 30 0 105.63 6.25 1.01 4.3E+3 6.5 15.1 181.6 19 36 0 106.74 5.31 1.01 3.1E+3 6.5 15.1 181.5 19 42 0 107.85 4.37 1.01 2.0E+3 6.5 15.1 181.4 19 48 0 108.96 3.44 1.01 1.2E+3 6.5 15.1 181.4 19 54 0 110.08 2.51 1.01 5.5E+2 6.5 15.1 181.3 20 0 0 111.20 1.60 1.01 1.8E+2 6.5 15.1 181.3 20 6 0 112.33 0.68 1.01 2.6E+1 6.5 15.1 181.2 20 12 0 113.46 -0.22 1.01 0 6.5 15.1 181.2 20 18 0 114.60 -1.12 1.01 0 6.5 15.1 181.1 20 24 0 115.75 -2.00 1.01 0 6.5 15.1 181.1 20 30 0 116.90 -2.88 1.01 0 6.5 15.1 181.0 20 36 0 118.06 -3.75 1.01 0 6.5 15.1 180.9 20 42 0 119.23 -4.62 1.01 0 6.5 15.1 180.9 20 48 0 120.41 -5.47 1.01 0 6.5 15.1 180.8 20 54 0 121.60 -6.31 1.01 0 6.5 15.1 180.8 21 0 0 122.79 -7.14 1.01 0 6.5 15.1 180.7 21 6 0 124.00 -7.96 1.01 0 6.5 15.1 180.7 21 12 0 125.22 -8.77 1.01 0 6.5 15.1 180.6 21 18 0 126.44 -9.56 1.01 0 6.5 15.1 180.6 21 24 0 127.68 -10.35 1.01 0 6.5 15.1 180.5 21 30 0 128.93 -11.12 1.01 0 6.5 15.1 180.5 21 36 0 130.20 -11.87 1.01 0 6.5 15.1 180.4 21 42 0 131.47 -12.62 1.01 0 6.5 15.1 180.3 21 48 0 132.76 -13.34 1.01 0 6.5 15.1 180.3 21 54 0 134.06 -14.06 1.01 0 6.5 15.1 180.2 22 0 0 135.37 -14.75 1.01 0 6.5 15.1 180.2 22 6 0 136.69 -15.44 1.01 0 6.5 15.1 180.1 22 12 0 138.03 -16.10 1.01 0 6.5 15.1 180.1 22 18 0 139.38 -16.75 1.01 0 6.5 15.1 180.0 22 24 0 140.75 -17.38 1.01 0 6.5 15.1 180.0 22 30 0 142.13 -17.99 1.01 0 6.5 15.1 179.9 22 36 0 143.52 -18.59 1.01 0 6.5 15.1 179.8 22 42 0 144.93 -19.16 1.01 0 6.5 15.1 179.8 22 48 0 146.35 -19.71 1.01 0 6.5 15.1 179.7 22 54 0 147.78 -20.25 1.01 0 6.5 15.1 179.7 23 0 0 149.23 -20.76 1.01 0 6.5 15.1 179.6 23 6 0 150.69 -21.25 1.01 0 6.5 15.1 179.6 23 12 0 152.17 -21.72 1.01 0 6.5 15.1 179.5 23 18 0 153.65 -22.17 1.01 0 6.5 15.1 179.5 23 24 0 155.15 -22.60 1.01 0 6.5 15.1 179.4 23 30 0 156.66 -23.00 1.01 0 6.5 15.1 179.4 23 36 0 158.19 -23.37 1.01 0 6.5 15.2 179.3 23 42 0 159.72 -23.73 1.01 0 6.5 15.2 179.2 23 48 0 161.27 -24.06 1.01 0 6.5 15.2 179.2 23 54 0 162.82 -24.36 1.01 0 6.5 15.2 179.1 0 0 0 164.38 -24.64 1.01 0 6.5 15.2 179.1 0 6 0 165.96 -24.89 1.01 0 6.5 15.2 179.0 0 12 0 167.54 -25.12 1.01 0 6.5 15.2 179.0 0 18 0 169.13 -25.31 1.01 0 6.5 15.2 178.9 0 24 0 170.72 -25.49 1.01 0 6.5 15.2 178.9 0 30 0 172.32 -25.63 1.01 0 6.5 15.2 178.8 0 36 0 173.92 -25.75 1.01 0 6.5 15.2 178.7 0 42 0 175.53 -25.84 1.01 0 6.5 15.2 178.7 0 48 0 177.14 -25.91 1.01 0 6.5 15.2 178.6 0 54 0 178.75 -25.94 1.01 0 6.5 15.2 178.6 1 0 0 -179.64 -25.95 1.01 0 6.5 15.2 178.5 1 6 0 -178.02 -25.93 1.01 0 6.5 15.2 178.5 1 12 0 -176.41 -25.89 1.01 0 6.5 15.2 178.4 1 18 0 -174.80 -25.81 1.01 0 6.5 15.2 178.4 1 24 0 -173.20 -25.71 1.01 0 6.5 15.2 178.3 1 30 0 -171.59 -25.58 1.01 0 6.5 15.2 178.2 1 36 0 -170.00 -25.43 1.01 0 6.5 15.2 178.2 1 42 0 -168.41 -25.25 1.01 0 6.5 15.2 178.1 1 48 0 -166.82 -25.04 1.01 0 6.5 15.2 178.1 1 54 0 -165.24 -24.80 1.01 0 6.5 15.2 178.0 2 0 0 -163.67 -24.54 1.01 0 6.5 15.2 178.0 2 6 0 -162.11 -24.25 1.01 0 6.5 15.2 177.9 2 12 0 -160.56 -23.94 1.01 0 6.5 15.2 177.9 2 18 0 -159.02 -23.60 1.01 0 6.5 15.2 177.8 2 24 0 -157.49 -23.24 1.01 0 6.5 15.2 177.8 2 30 0 -155.97 -22.86 1.01 0 6.5 15.2 177.7 2 36 0 -154.46 -22.45 1.01 0 6.5 15.2 177.6 2 42 0 -152.97 -22.01 1.01 0 6.5 15.2 177.6 2 48 0 -151.48 -21.56 1.01 0 6.5 15.2 177.5 2 54 0 -150.01 -21.08 1.01 0 6.5 15.2 177.5 3 0 0 -148.56 -20.58 1.01 0 6.5 15.2 177.4 3 6 0 -147.11 -20.06 1.01 0 6.5 15.2 177.4 3 12 0 -145.68 -19.52 1.01 0 6.5 15.2 177.3 3 18 0 -144.27 -18.96 1.01 0 6.5 15.2 177.3 3 24 0 -142.87 -18.38 1.01 0 6.5 15.2 177.2 3 30 0 -141.48 -17.78 1.01 0 6.5 15.2 177.1 3 36 0 -140.10 -17.16 1.01 0 6.5 15.2 177.1 3 42 0 -138.74 -16.52 1.01 0 6.5 15.2 177.0 3 48 0 -137.39 -15.87 1.01 0 6.5 15.2 177.0 3 54 0 -136.06 -15.20 1.01 0 6.5 15.2 176.9 4 0 0 -134.74 -14.51 1.01 0 6.5 15.2 176.9 4 6 0 -133.43 -13.80 1.01 0 6.5 15.2 176.8 4 12 0 -132.13 -13.09 1.01 0 6.5 15.2 176.8 4 18 0 -130.85 -12.35 1.01 0 6.5 15.2 176.7 4 24 0 -129.58 -11.61 1.01 0 6.5 15.2 176.7 4 30 0 -128.32 -10.84 1.01 0 6.5 15.2 176.6 4 36 0 -127.07 -10.07 1.01 0 6.5 15.2 176.5 4 42 0 -125.84 -9.28 1.01 0 6.5 15.2 176.5 4 48 0 -124.61 -8.48 1.01 0 6.5 15.2 176.4 4 54 0 -123.40 -7.67 1.01 0 6.5 15.2 176.4 5 0 0 -122.19 -6.85 1.01 0 6.5 15.2 176.3 5 6 0 -121.00 -6.01 1.01 0 6.5 15.2 176.3 5 12 0 -119.81 -5.17 1.01 0 6.5 15.2 176.2 5 18 0 -118.64 -4.32 1.01 0 6.5 15.2 176.2 5 24 0 -117.47 -3.45 1.01 0 6.5 15.2 176.1 5 30 0 -116.31 -2.58 1.01 0 6.5 15.2 176.0 5 36 0 -115.16 -1.70 1.01 0 6.5 15.2 176.0 5 42 0 -114.01 -0.81 1.01 0 6.5 15.2 175.9 5 48 0 -112.87 0.09 1.01 1.1E+0 6.5 15.2 175.9 5 54 0 -111.74 1.00 1.01 6.0E+1 6.5 15.2 175.8 6 0 0 -110.61 1.91 1.01 2.8E+2 6.5 15.2 175.8 6 6 0 -109.49 2.83 1.01 7.4E+2 6.5 15.2 175.7 6 12 0 -108.37 3.76 1.01 1.4E+3 6.5 15.2 175.7 6 18 0 -107.26 4.69 1.01 2.4E+3 6.5 15.2 175.6 6 24 0 -106.15 5.63 1.01 3.5E+3 6.5 15.2 175.6 6 30 0 -105.04 6.57 1.01 4.8E+3 6.5 15.3 175.5 6 36 0 -103.93 7.52 1.01 6.2E+3 6.5 15.3 175.4 6 42 0 -102.83 8.47 1.01 7.7E+3 6.5 15.3 175.4 6 48 0 -101.73 9.43 1.01 9.3E+3 6.5 15.3 175.3 6 54 0 -100.62 10.39 1.01 1.1E+4 6.5 15.3 175.3 7 0 0 -99.52 11.35 1.01 1.3E+4 6.5 15.3 175.2 7 6 0 -98.41 12.32 1.01 1.5E+4 6.5 15.3 175.2 7 12 0 -97.31 13.29 1.01 1.6E+4 6.5 15.3 175.1 7 18 0 -96.20 14.26 1.01 1.8E+4 6.5 15.3 175.1 7 24 0 -95.09 15.24 1.01 2.0E+4 6.5 15.3 175.0 7 30 0 -93.97 16.21 1.01 2.2E+4 6.5 15.3 174.9 7 36 0 -92.85 17.19 1.01 2.4E+4 6.5 15.3 174.9 7 42 0 -91.73 18.17 1.01 2.6E+4 6.5 15.3 174.8 7 48 0 -90.60 19.15 1.01 2.8E+4 6.5 15.3 174.8 7 54 0 -89.46 20.13 1.01 3.0E+4 6.5 15.3 174.7 8 0 0 -88.32 21.11 1.01 3.2E+4 6.5 15.3 174.7 8 6 0 -87.17 22.09 1.01 3.4E+4 6.5 15.3 174.6 8 12 0 -86.01 23.06 1.01 3.6E+4 6.5 15.3 174.6 8 18 0 -84.84 24.04 1.01 3.8E+4 6.5 15.3 174.5 8 24 0 -83.66 25.01 1.01 4.0E+4 6.5 15.3 174.4 8 30 0 -82.46 25.99 1.01 4.2E+4 6.5 15.3 174.4 8 36 0 -81.26 26.96 1.01 4.3E+4 6.5 15.3 174.3 8 42 0 -80.04 27.92 1.01 4.5E+4 6.5 15.3 174.3 8 48 0 -78.80 28.88 1.01 4.7E+4 6.5 15.3 174.2 8 54 0 -77.55 29.84 1.01 4.9E+4 6.5 15.3 174.2 9 0 0 -76.29 30.80 1.01 5.1E+4 6.5 15.3 174.1 9 6 0 -75.00 31.75 1.01 5.3E+4 6.5 15.3 174.1 9 12 0 -73.70 32.69 1.01 5.4E+4 6.5 15.3 174.0 9 18 0 -72.38 33.62 1.01 5.6E+4 6.5 15.3 174.0 9 24 0 -71.03 34.55 1.01 5.8E+4 6.5 15.3 173.9 9 30 0 -69.66 35.48 1.01 5.9E+4 6.5 15.3 173.8 9 36 0 -68.27 36.39 1.01 6.1E+4 6.5 15.3 173.8 9 42 0 -66.86 37.30 1.01 6.3E+4 6.5 15.3 173.7 9 48 0 -65.41 38.19 1.01 6.4E+4 6.5 15.3 173.7 9 54 0 -63.94 39.08 1.01 6.6E+4 6.5 15.3 173.6 10 0 0 -62.44 39.95 1.01 6.7E+4 6.5 15.3 173.6 10 6 0 -60.91 40.81 1.01 6.9E+4 6.5 15.3 173.5 10 12 0 -59.34 41.66 1.01 7.0E+4 6.5 15.3 173.5 10 18 0 -57.74 42.50 1.01 7.1E+4 6.5 15.3 173.4 10 24 0 -56.11 43.32 1.01 7.3E+4 6.5 15.3 173.3 10 30 0 -54.44 44.12 1.01 7.4E+4 6.5 15.3 173.3 10 36 0 -52.73 44.91 1.01 7.5E+4 6.5 15.3 173.2 10 42 0 -50.98 45.68 1.01 7.7E+4 6.5 15.3 173.2 10 48 0 -49.19 46.43 1.01 7.8E+4 6.5 15.3 173.1 10 54 0 -47.36 47.16 1.01 7.9E+4 6.5 15.3 173.1 11 0 0 -45.49 47.87 1.01 8.0E+4 6.5 15.3 173.0 11 6 0 -43.57 48.56 1.01 8.1E+4 6.5 15.3 173.0 11 12 0 -41.61 49.22 1.01 8.2E+4 6.5 15.3 172.9 11 18 0 -39.60 49.85 1.01 8.3E+4 6.5 15.3 172.9 11 24 0 -37.54 50.46 1.01 8.4E+4 6.5 15.3 172.8 11 30 0 -35.44 51.05 1.01 8.5E+4 6.5 15.3 172.7 11 36 0 -33.29 51.60 1.01 8.5E+4 6.5 15.3 172.7 11 42 0 -31.10 52.12 1.01 8.6E+4 6.5 15.3 172.6 11 48 0 -28.86 52.61 1.01 8.7E+4 6.5 15.3 172.6 11 54 0 -26.58 53.06 1.01 8.7E+4 6.5 15.3 172.5 12 0 0 -24.26 53.48 1.01 8.8E+4 6.5 15.3 172.5 Height of Sun evening / 1 degree: +6 (centre, refracted), 0 (upper rim, refracted), -6, -12, -15, -18: 5.9 5:41 20:16 0.0 15.00 -5.1 9.41 24.4 2.66 -6.0 5: 5 20:52 36.0 15.00 -5.1 8.21 31.3 0.50 -12.0 4:20 21:38 81.4 15.00 -5.1 6.70 40.6 -2.05 -18.0 3:26 22:31 134.8 15.00 -5.1 4.92 52.5 -3.15 from 4 values is 4:38 21:19 63.1 15.00 -5.1 7.31 37.2 Height of Sun morning / 1 degree: +6 (centre, refracted), 0 (upper rim, refracted), -6, -12, -15, -18: 5.9 5:42 20:15 0.0 14.70 -5.0 9.46 23.9 2.66 -6.0 5: 7 20:50 35.8 14.70 -5.0 8.27 30.8 0.50 -12.0 4:22 21:36 80.9 14.70 -5.0 6.77 40.0 -2.05 -18.0 3:29 22:28 133.7 14.70 -5.0 5.01 51.7 -3.15 from 4 values is 4:40 21:17 62.6 14.70 -5.0 7.38 36.6 Lunar height and faintess, no atmosphere, no horizon: 12 6 0 -173.38 -57.28 62.108 164 -12.20 -3.9 -12.0 5.1 68.8 12 12 0 -170.86 -57.13 62.109 164 -12.20 -3.9 -12.1 5.1 68.9 12 18 0 -168.35 -56.95 62.110 164 -12.20 -3.9 -12.1 5.1 68.9 12 24 0 -165.87 -56.73 62.110 164 -12.20 -3.9 -12.1 5.1 69.0 12 30 0 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PhA