Solar direct horizontal illuminance for ZE = 15 cmag: 12 6 0 1.78 18.10 0.98 2.7E+4 -3.5 0.3 125.1 12 12 0 3.24 18.06 0.98 2.7E+4 -3.5 0.3 125.0 12 18 0 4.69 17.99 0.98 2.7E+4 -3.5 0.3 125.0 12 24 0 6.14 17.90 0.98 2.7E+4 -3.5 0.3 124.9 12 30 0 7.59 17.79 0.98 2.7E+4 -3.5 0.3 124.8 12 36 0 9.03 17.64 0.98 2.7E+4 -3.5 0.3 124.8 12 42 0 10.47 17.48 0.98 2.6E+4 -3.5 0.3 124.7 12 48 0 11.91 17.29 0.98 2.6E+4 -3.5 0.3 124.7 12 54 0 13.34 17.08 0.98 2.5E+4 -3.5 0.3 124.6 13 0 0 14.77 16.84 0.98 2.5E+4 -3.5 0.3 124.6 13 6 0 16.19 16.58 0.98 2.4E+4 -3.5 0.3 124.5 13 12 0 17.60 16.29 0.98 2.4E+4 -3.5 0.3 124.5 13 18 0 19.00 15.99 0.98 2.3E+4 -3.5 0.3 124.4 13 24 0 20.40 15.66 0.98 2.2E+4 -3.5 0.3 124.3 13 30 0 21.79 15.30 0.98 2.2E+4 -3.5 0.3 124.3 13 36 0 23.17 14.93 0.98 2.1E+4 -3.5 0.3 124.2 13 42 0 24.54 14.53 0.98 2.0E+4 -3.5 0.3 124.2 13 48 0 25.90 14.12 0.98 1.9E+4 -3.5 0.3 124.1 13 54 0 27.25 13.68 0.98 1.8E+4 -3.5 0.3 124.1 14 0 0 28.59 13.22 0.98 1.7E+4 -3.5 0.3 124.0 14 6 0 29.93 12.74 0.98 1.6E+4 -3.5 0.3 124.0 14 12 0 31.25 12.24 0.98 1.5E+4 -3.5 0.3 123.9 14 18 0 32.56 11.73 0.98 1.4E+4 -3.5 0.2 123.9 14 24 0 33.86 11.19 0.98 1.3E+4 -3.5 0.2 123.8 14 30 0 35.15 10.63 0.98 1.2E+4 -3.5 0.2 123.7 14 36 0 36.43 10.06 0.98 1.1E+4 -3.5 0.2 123.7 14 42 0 37.70 9.47 0.98 1.0E+4 -3.5 0.2 123.6 14 48 0 38.96 8.86 0.98 8.9E+3 -3.5 0.2 123.6 14 54 0 40.21 8.24 0.98 7.8E+3 -3.5 0.2 123.5 15 0 0 41.45 7.60 0.98 6.7E+3 -3.5 0.2 123.5 15 6 0 42.68 6.94 0.98 5.6E+3 -3.5 0.2 123.4 15 12 0 43.90 6.27 0.98 4.6E+3 -3.5 0.2 123.4 15 18 0 45.10 5.59 0.98 3.6E+3 -3.5 0.2 123.3 15 24 0 46.30 4.89 0.98 2.7E+3 -3.5 0.2 123.3 15 30 0 47.49 4.17 0.98 1.9E+3 -3.5 0.2 123.2 15 36 0 48.67 3.44 0.98 1.2E+3 -3.5 0.2 123.1 15 42 0 49.84 2.70 0.98 7.0E+2 -3.5 0.2 123.1 15 48 0 51.00 1.95 0.98 3.1E+2 -3.5 0.2 123.0 15 54 0 52.15 1.18 0.98 9.4E+1 -3.5 0.2 123.0 16 0 0 53.30 0.40 0.98 9.8E+0 -3.5 0.2 122.9 16 6 0 54.43 -0.39 0.98 0 -3.5 0.2 122.9 16 12 0 55.56 -1.19 0.98 0 -3.5 0.2 122.8 16 18 0 56.68 -2.01 0.98 0 -3.5 0.2 122.8 16 24 0 57.79 -2.83 0.98 0 -3.5 0.2 122.7 16 30 0 58.90 -3.66 0.98 0 -3.5 0.2 122.6 16 36 0 60.00 -4.51 0.98 0 -3.5 0.2 122.6 16 42 0 61.09 -5.36 0.98 0 -3.5 0.2 122.5 16 48 0 62.18 -6.22 0.98 0 -3.5 0.2 122.5 16 54 0 63.26 -7.09 0.98 0 -3.5 0.2 122.4 17 0 0 64.34 -7.97 0.98 0 -3.5 0.2 122.4 17 6 0 65.42 -8.86 0.98 0 -3.5 0.2 122.3 17 12 0 66.49 -9.75 0.98 0 -3.5 0.2 122.3 17 18 0 67.55 -10.66 0.98 0 -3.5 0.2 122.2 17 24 0 68.62 -11.56 0.98 0 -3.5 0.2 122.2 17 30 0 69.68 -12.48 0.98 0 -3.5 0.2 122.1 17 36 0 70.74 -13.40 0.98 0 -3.5 0.2 122.0 17 42 0 71.79 -14.33 0.98 0 -3.5 0.2 122.0 17 48 0 72.85 -15.26 0.98 0 -3.5 0.2 121.9 17 54 0 73.91 -16.20 0.98 0 -3.5 0.2 121.9 18 0 0 74.96 -17.14 0.98 0 -3.5 0.2 121.8 18 6 0 76.02 -18.09 0.98 0 -3.5 0.2 121.8 18 12 0 77.08 -19.04 0.98 0 -3.5 0.2 121.7 18 18 0 78.14 -20.00 0.98 0 -3.5 0.2 121.7 18 24 0 79.21 -20.96 0.98 0 -3.5 0.2 121.6 18 30 0 80.27 -21.93 0.98 0 -3.5 0.2 121.5 18 36 0 81.34 -22.89 0.98 0 -3.5 0.2 121.5 18 42 0 82.42 -23.86 0.98 0 -3.5 0.2 121.4 18 48 0 83.50 -24.83 0.98 0 -3.5 0.2 121.4 18 54 0 84.59 -25.81 0.98 0 -3.5 0.2 121.3 19 0 0 85.68 -26.78 0.98 0 -3.5 0.2 121.3 19 6 0 86.78 -27.76 0.98 0 -3.5 0.2 121.2 19 12 0 87.90 -28.74 0.98 0 -3.5 0.2 121.2 19 18 0 89.02 -29.72 0.98 0 -3.5 0.1 121.1 19 24 0 90.15 -30.70 0.98 0 -3.5 0.1 121.1 19 30 0 91.29 -31.68 0.98 0 -3.5 0.1 121.0 19 36 0 92.45 -32.66 0.98 0 -3.5 0.1 120.9 19 42 0 93.62 -33.63 0.98 0 -3.5 0.1 120.9 19 48 0 94.80 -34.61 0.98 0 -3.5 0.1 120.8 19 54 0 96.00 -35.59 0.98 0 -3.5 0.1 120.8 20 0 0 97.22 -36.56 0.98 0 -3.5 0.1 120.7 20 6 0 98.45 -37.53 0.98 0 -3.5 0.1 120.7 20 12 0 99.71 -38.50 0.98 0 -3.5 0.1 120.6 20 18 0 100.99 -39.46 0.98 0 -3.5 0.1 120.6 20 24 0 102.29 -40.42 0.98 0 -3.5 0.1 120.5 20 30 0 103.62 -41.37 0.98 0 -3.5 0.1 120.5 20 36 0 104.97 -42.32 0.98 0 -3.5 0.1 120.4 20 42 0 106.35 -43.27 0.98 0 -3.5 0.1 120.3 20 48 0 107.76 -44.20 0.98 0 -3.5 0.1 120.3 20 54 0 109.20 -45.13 0.98 0 -3.5 0.1 120.2 21 0 0 110.68 -46.05 0.98 0 -3.5 0.1 120.2 21 6 0 112.19 -46.96 0.98 0 -3.5 0.1 120.1 21 12 0 113.74 -47.87 0.98 0 -3.5 0.1 120.1 21 18 0 115.34 -48.76 0.98 0 -3.5 0.1 120.0 21 24 0 116.97 -49.64 0.98 0 -3.5 0.1 120.0 21 30 0 118.65 -50.50 0.98 0 -3.5 0.1 119.9 21 36 0 120.38 -51.36 0.98 0 -3.5 0.1 119.8 21 42 0 122.16 -52.19 0.98 0 -3.5 0.1 119.8 21 48 0 124.00 -53.01 0.98 0 -3.5 0.1 119.7 21 54 0 125.89 -53.82 0.98 0 -3.5 0.1 119.7 22 0 0 127.84 -54.60 0.98 0 -3.5 0.1 119.6 22 6 0 129.86 -55.36 0.98 0 -3.5 0.1 119.6 22 12 0 131.93 -56.10 0.98 0 -3.5 0.1 119.5 22 18 0 134.08 -56.82 0.98 0 -3.5 0.1 119.5 22 24 0 136.29 -57.51 0.98 0 -3.5 0.1 119.4 22 30 0 138.57 -58.17 0.98 0 -3.5 0.1 119.4 22 36 0 140.93 -58.80 0.98 0 -3.5 0.1 119.3 22 42 0 143.36 -59.40 0.98 0 -3.5 0.1 119.2 22 48 0 145.86 -59.97 0.98 0 -3.5 0.1 119.2 22 54 0 148.43 -60.50 0.98 0 -3.5 0.1 119.1 23 0 0 151.08 -61.00 0.98 0 -3.5 0.1 119.1 23 6 0 153.80 -61.45 0.98 0 -3.5 0.1 119.0 23 12 0 156.58 -61.86 0.98 0 -3.5 0.1 119.0 23 18 0 159.43 -62.23 0.98 0 -3.5 0.1 118.9 23 24 0 162.33 -62.55 0.98 0 -3.5 0.1 118.9 23 30 0 165.29 -62.82 0.98 0 -3.5 0.1 118.8 23 36 0 168.29 -63.04 0.98 0 -3.5 0.1 118.8 23 42 0 171.33 -63.22 0.98 0 -3.5 0.1 118.7 23 48 0 174.40 -63.34 0.98 0 -3.5 0.1 118.6 23 54 0 177.48 -63.41 0.98 0 -3.5 0.1 118.6 0 0 0 -179.42 -63.42 0.98 0 -3.5 0.1 118.5 0 6 0 -176.33 -63.39 0.98 0 -3.5 0.1 118.5 0 12 0 -173.25 -63.30 0.98 0 -3.5 0.0 118.4 0 18 0 -170.20 -63.15 0.98 0 -3.5 0.0 118.4 0 24 0 -167.17 -62.96 0.98 0 -3.5 0.0 118.3 0 30 0 -164.19 -62.72 0.98 0 -3.5 0.0 118.3 0 36 0 -161.25 -62.43 0.98 0 -3.5 0.0 118.2 0 42 0 -158.36 -62.09 0.98 0 -3.5 0.0 118.1 0 48 0 -155.54 -61.70 0.98 0 -3.5 0.0 118.1 0 54 0 -152.78 -61.28 0.98 0 -3.5 0.0 118.0 1 0 0 -150.09 -60.81 0.98 0 -3.5 0.0 118.0 1 6 0 -147.47 -60.30 0.98 0 -3.5 0.0 117.9 1 12 0 -144.93 -59.75 0.98 0 -3.5 0.0 117.9 1 18 0 -142.45 -59.17 0.98 0 -3.5 0.0 117.8 1 24 0 -140.05 -58.56 0.98 0 -3.5 0.0 117.8 1 30 0 -137.73 -57.92 0.98 0 -3.5 0.0 117.7 1 36 0 -135.47 -57.24 0.98 0 -3.5 0.0 117.7 1 42 0 -133.28 -56.54 0.98 0 -3.5 0.0 117.6 1 48 0 -131.17 -55.81 0.98 0 -3.5 0.0 117.5 1 54 0 -129.12 -55.07 0.98 0 -3.5 0.0 117.5 2 0 0 -127.13 -54.29 0.98 0 -3.5 0.0 117.4 2 6 0 -125.20 -53.50 0.98 0 -3.5 0.0 117.4 2 12 0 -123.33 -52.69 0.98 0 -3.5 0.0 117.3 2 18 0 -121.52 -51.87 0.98 0 -3.5 0.0 117.3 2 24 0 -119.76 -51.02 0.98 0 -3.5 0.0 117.2 2 30 0 -118.04 -50.16 0.98 0 -3.5 0.0 117.2 2 36 0 -116.38 -49.29 0.98 0 -3.5 0.0 117.1 2 42 0 -114.76 -48.41 0.98 0 -3.5 -0.0 117.0 2 48 0 -113.19 -47.51 0.98 0 -3.5 -0.0 117.0 2 54 0 -111.65 -46.61 0.98 0 -3.5 -0.0 116.9 3 0 0 -110.15 -45.69 0.98 0 -3.5 -0.0 116.9 3 6 0 -108.69 -44.77 0.98 0 -3.5 -0.0 116.8 3 12 0 -107.26 -43.83 0.98 0 -3.5 -0.0 116.8 3 18 0 -105.86 -42.89 0.98 0 -3.5 -0.0 116.7 3 24 0 -104.49 -41.95 0.98 0 -3.5 -0.0 116.7 3 30 0 -103.15 -41.00 0.98 0 -3.5 -0.0 116.6 3 36 0 -101.83 -40.04 0.98 0 -3.5 -0.0 116.6 3 42 0 -100.54 -39.08 0.98 0 -3.5 -0.0 116.5 3 48 0 -99.27 -38.11 0.98 0 -3.5 -0.0 116.4 3 54 0 -98.02 -37.14 0.98 0 -3.5 -0.0 116.4 4 0 0 -96.79 -36.17 0.98 0 -3.5 -0.0 116.3 4 6 0 -95.58 -35.20 0.98 0 -3.5 -0.0 116.3 4 12 0 -94.39 -34.22 0.98 0 -3.5 -0.0 116.2 4 18 0 -93.21 -33.24 0.98 0 -3.5 -0.0 116.2 4 24 0 -92.05 -32.26 0.98 0 -3.5 -0.0 116.1 4 30 0 -90.90 -31.28 0.98 0 -3.5 -0.0 116.1 4 36 0 -89.76 -30.30 0.98 0 -3.5 -0.0 116.0 4 42 0 -88.63 -29.32 0.98 0 -3.5 -0.0 116.0 4 48 0 -87.52 -28.34 0.98 0 -3.5 -0.0 115.9 4 54 0 -86.41 -27.36 0.98 0 -3.5 -0.0 115.8 5 0 0 -85.31 -26.39 0.98 0 -3.5 -0.0 115.8 5 6 0 -84.22 -25.41 0.98 0 -3.5 -0.0 115.7 5 12 0 -83.13 -24.44 0.98 0 -3.5 -0.1 115.7 5 18 0 -82.06 -23.46 0.98 0 -3.5 -0.1 115.6 5 24 0 -80.98 -22.50 0.98 0 -3.5 -0.1 115.6 5 30 0 -79.91 -21.53 0.98 0 -3.5 -0.1 115.5 5 36 0 -78.85 -20.57 0.98 0 -3.5 -0.1 115.5 5 42 0 -77.79 -19.61 0.98 0 -3.5 -0.1 115.4 5 48 0 -76.73 -18.65 0.98 0 -3.5 -0.1 115.3 5 54 0 -75.67 -17.70 0.98 0 -3.5 -0.1 115.3 6 0 0 -74.61 -16.75 0.98 0 -3.5 -0.1 115.2 6 6 0 -73.55 -15.81 0.98 0 -3.5 -0.1 115.2 6 12 0 -72.50 -14.87 0.98 0 -3.5 -0.1 115.1 6 18 0 -71.44 -13.94 0.98 0 -3.5 -0.1 115.1 6 24 0 -70.38 -13.01 0.98 0 -3.5 -0.1 115.0 6 30 0 -69.32 -12.09 0.98 0 -3.5 -0.1 115.0 6 36 0 -68.26 -11.18 0.98 0 -3.5 -0.1 114.9 6 42 0 -67.20 -10.27 0.98 0 -3.5 -0.1 114.9 6 48 0 -66.13 -9.37 0.98 0 -3.5 -0.1 114.8 6 54 0 -65.06 -8.48 0.98 0 -3.5 -0.1 114.7 7 0 0 -63.98 -7.59 0.98 0 -3.5 -0.1 114.7 7 6 0 -62.90 -6.72 0.98 0 -3.5 -0.1 114.6 7 12 0 -61.82 -5.85 0.98 0 -3.5 -0.1 114.6 7 18 0 -60.73 -4.99 0.98 0 -3.5 -0.1 114.5 7 24 0 -59.63 -4.14 0.98 0 -3.5 -0.1 114.5 7 30 0 -58.53 -3.30 0.98 0 -3.5 -0.1 114.4 7 36 0 -57.42 -2.47 0.98 0 -3.5 -0.1 114.4 7 42 0 -56.30 -1.65 0.98 0 -3.5 -0.1 114.3 7 48 0 -55.18 -0.84 0.98 0 -3.5 -0.1 114.3 7 54 0 -54.05 -0.04 0.98 0 -3.5 -0.1 114.2 8 0 0 -52.91 0.75 0.98 3.4E+1 -3.5 -0.1 114.1 8 6 0 -51.77 1.53 0.98 1.7E+2 -3.5 -0.1 114.1 8 12 0 -50.61 2.29 0.98 4.7E+2 -3.5 -0.1 114.0 8 18 0 -49.45 3.04 0.98 9.3E+2 -3.5 -0.1 114.0 8 24 0 -48.27 3.78 0.98 1.5E+3 -3.5 -0.1 113.9 8 30 0 -47.09 4.51 0.98 2.3E+3 -3.5 -0.1 113.9 8 36 0 -45.90 5.22 0.98 3.2E+3 -3.5 -0.1 113.8 8 42 0 -44.70 5.91 0.98 4.1E+3 -3.5 -0.1 113.8 8 48 0 -43.48 6.60 0.98 5.1E+3 -3.5 -0.1 113.7 8 54 0 -42.26 7.26 0.98 6.2E+3 -3.5 -0.1 113.6 9 0 0 -41.03 7.92 0.98 7.2E+3 -3.5 -0.1 113.6 9 6 0 -39.79 8.55 0.98 8.3E+3 -3.5 -0.1 113.5 9 12 0 -38.53 9.17 0.98 9.4E+3 -3.5 -0.1 113.5 9 18 0 -37.27 9.77 0.98 1.1E+4 -3.6 -0.1 113.4 9 24 0 -35.99 10.36 0.98 1.2E+4 -3.6 -0.1 113.4 9 30 0 -34.71 10.92 0.98 1.3E+4 -3.6 -0.1 113.3 9 36 0 -33.41 11.47 0.98 1.4E+4 -3.6 -0.1 113.3 9 42 0 -32.11 12.00 0.98 1.5E+4 -3.6 -0.1 113.2 9 48 0 -30.79 12.52 0.98 1.6E+4 -3.6 -0.1 113.2 9 54 0 -29.46 13.01 0.98 1.7E+4 -3.6 -0.1 113.1 10 0 0 -28.13 13.48 0.98 1.8E+4 -3.6 -0.1 113.0 10 6 0 -26.78 13.93 0.98 1.9E+4 -3.6 -0.1 113.0 10 12 0 -25.42 14.36 0.98 2.0E+4 -3.6 -0.2 112.9 10 18 0 -24.06 14.78 0.98 2.1E+4 -3.6 -0.2 112.9 10 24 0 -22.68 15.16 0.98 2.1E+4 -3.6 -0.2 112.8 10 30 0 -21.30 15.53 0.98 2.2E+4 -3.6 -0.2 112.8 10 36 0 -19.90 15.88 0.98 2.3E+4 -3.6 -0.2 112.7 10 42 0 -18.50 16.20 0.98 2.3E+4 -3.6 -0.2 112.7 10 48 0 -17.09 16.50 0.98 2.4E+4 -3.6 -0.2 112.6 10 54 0 -15.68 16.78 0.98 2.5E+4 -3.6 -0.2 112.6 11 0 0 -14.25 17.03 0.98 2.5E+4 -3.6 -0.2 112.5 11 6 0 -12.83 17.26 0.98 2.6E+4 -3.6 -0.2 112.4 11 12 0 -11.39 17.47 0.98 2.6E+4 -3.6 -0.2 112.4 11 18 0 -9.95 17.65 0.98 2.7E+4 -3.6 -0.2 112.3 11 24 0 -8.51 17.81 0.98 2.7E+4 -3.6 -0.2 112.3 11 30 0 -7.06 17.94 0.98 2.7E+4 -3.6 -0.2 112.2 11 36 0 -5.61 18.05 0.98 2.7E+4 -3.6 -0.2 112.2 11 42 0 -4.15 18.13 0.98 2.8E+4 -3.6 -0.2 112.1 11 48 0 -2.70 18.19 0.98 2.8E+4 -3.6 -0.2 112.1 11 54 0 -1.24 18.22 0.98 2.8E+4 -3.6 -0.2 112.0 12 0 0 0.22 18.23 0.98 2.8E+4 -3.6 -0.2 111.9 Height of Sun evening / 1 degree: +6 (centre, refracted), 0 (upper rim, refracted), -6, -12, -15, -18: 5.9 7:48 16: 9 0.0 -22.68 -5.1 15.66 -35.0 2.66 -6.0 7:11 16:46 37.4 -22.68 -5.1 14.41 -28.1 0.50 -12.0 6:31 17:27 77.8 -22.68 -5.1 13.07 -20.9 -2.05 -18.0 5:52 18: 5 116.3 -22.68 -5.1 11.78 -14.1 -3.15 from 4 values is 6:51 17: 7 57.9 -22.68 -5.1 13.73 -24.6 Height of Sun morning / 1 degree: +6 (centre, refracted), 0 (upper rim, refracted), -6, -12, -15, -18: 5.9 7:48 16:10 0.0 -22.57 -5.5 15.64 -34.8 2.66 -6.0 7:11 16:47 37.3 -22.57 -5.5 14.39 -28.0 0.50 -12.0 6:31 17:28 77.6 -22.57 -5.5 13.05 -20.7 -2.05 -18.0 5:52 18: 6 116.1 -22.57 -5.5 11.77 -14.0 -3.15 from 4 values is 6:50 17: 8 57.8 -22.57 -5.5 13.71 -24.4 Lunar height and faintess, no atmosphere, no horizon: 12 6 0 -91.59 10.66 59.638 90 -10.17 -5.2 -22.3 -7.1 7.1 12 12 0 -90.51 11.63 59.618 90 -10.18 -5.2 -22.3 -7.1 7.1 12 18 0 -89.43 12.60 59.597 90 -10.18 -5.2 -22.3 -7.1 7.2 12 24 0 -88.34 13.57 59.577 90 -10.18 -5.2 -22.3 -7.1 7.2 12 30 0 -87.25 14.54 59.558 90 -10.18 -5.2 -22.3 -7.1 7.3 12 36 0 -86.15 15.51 59.538 90 -10.19 -5.2 -22.3 -7.1 7.3 12 42 0 -85.04 16.48 59.518 90 -10.19 -5.2 -22.3 -7.1 7.4 12 48 0 -83.93 17.45 59.498 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PhA