LENGHT OF THE SOLAR CRESCENT DURING A PARTIAL SOLAR ECLIPSE
The table shows the angular lenght of the solar crescent during a partial solar eclipse as function of the magnitude and the diameters of Sun and Moon
R 1 R 1.01 R 1.02 R 1.03 R 1.04 R 1.05 R 1.06 R 1.07 R 1.08 R 1.09
M 0.9 191.5 186.6 182.1 178 174.3 170.8 167.6 164.7 161.9 159.3
M 0.902 191.2 186.2 181.7 177.5 173.7 170.2 167 164 161.2 158.6
M 0.904 191 185.9 181.2 177 173.1 169.6 166.3 163.3 160.4 157.8
M 0.906 190.8 185.5 180.8 176.5 172.6 168.9 165.6 162.5 159.7 157
M 0.908 190.6 185.2 180.3 176 172 168.3 164.9 161.8 158.9 156.2
M 0.91 190.3 184.8 179.9 175.4 171.3 167.6 164.2 161 158.1 155.4
M 0.912 190.1 184.5 179.4 174.9 170.7 166.9 163.5 160.2 157.3 154.5
M 0.914 189.9 184.1 178.9 174.3 170.1 166.2 162.7 159.4 156.4 153.6
M 0.916 189.6 183.7 178.5 173.7 169.4 165.5 161.9 158.6 155.6 152.8
M 0.918 189.4 183.4 178 173.1 168.8 164.8 161.1 157.8 154.7 151.8
M 0.92 189.2 183 177.5 172.5 168.1 164 160.3 156.9 153.8 150.9
M 0.922 188.9 182.6 176.9 171.9 167.4 163.2 159.5 156 152.9 149.9
M 0.924 188.7 182.2 176.4 171.2 166.6 162.4 158.6 155.1 151.9 149
M 0.926 188.5 181.8 175.8 170.6 165.9 161.6 157.7 154.2 150.9 147.9
M 0.928 188.3 181.3 175.3 169.9 165.1 160.8 156.8 153.2 149.9 146.9
M 0.930 188 180.9 174.7 169.2 164.3 159.9 155.9 152.2 148.9 145.8
M 0.932 187.8 180.5 174.1 168.5 163.5 159 154.9 151.2 147.8 144.7
M 0.934 187.6 180 173.5 167.7 162.6 158 153.9 150.1 146.7 143.6
M 0.936 187.3 179.6 172.8 166.9 161.7 157.1 152.8 149 145.6 142.4
M 0.938 187.1 179.1 172.2 166.1 160.8 156 151.8 147.9 144.4 141.2
M 0.94 186.9 178.6 171.5 165.3 159.8 155 150.7 146.7 143.2 139.9
M 0.942 186.7 178.1 170.8 164.4 158.8 153.9 149.5 145.5 141.9 138.6
M 0.944 186.4 177.6 170 163.5 157.8 152.8 148.3 144.2 140.6 137.2
M 0.946 186.2 177 169.2 162.6 156.7 151.6 147 142.9 139.2 135.8
M 0.948 186 176.4 168.4 161.6 155.6 150.4 145.7 141.5 137.8 134.4
M 0.95 185.7 175.8 167.6 160.5 154.4 149.1 144.3 140.1 136.3 132.8
M 0.952 185.5 175.2 166.7 159.4 153.2 147.7 142.9 138.6 134.7 131.3
M 0.954 185.3 174.6 165.7 158.3 151.9 146.3 141.4 137 133.1 129.6
M 0.956 185 173.9 164.7 157 150.5 144.8 139.8 135.4 131.4 127.9
M 0.958 184.8 173.1 163.6 155.7 149 143.2 138.1 133.7 129.7 126.1
M 0.96 184.6 172.4 162.5 154.4 147.5 141.6 136.4 131.8 127.8 124.2
M 0.962 184.4 171.5 161.3 152.9 145.8 139.8 134.5 129.9 125.8 122.2
M 0.964 184.1 170.6 160 151.3 144.1 137.9 132.6 127.9 123.8 120.1
M 0.966 183.9 169.7 158.6 149.7 142.2 135.9 130.5 125.7 121.6 117.8
M 0.968 183.7 168.7 157.1 147.8 140.2 133.8 128.3 123.5 119.2 115.5
M 0.97 183.4 167.5 155.5 145.9 138 131.5 125.9 121 116.8 113
M 0.972 183.2 166.3 153.7 143.8 135.7 129 123.3 118.4 114.1 110.3
M 0.974 183 164.9 151.7 141.4 133.2 126.3 120.6 115.6 111.3 107.5
M 0.976 182.8 163.4 149.5 138.9 130.4 123.4 117.6 112.6 108.3 104.5
M 0.978 182.5 161.7 147 136 127.3 120.2 114.3 109.3 105 101.2
M 0.98 182.3 159.7 144.3 132.8 123.9 116.7 110.8 105.7 101.4 97.6
M 0.982 182.1 157.5 141.1 129.3 120.2 112.9 106.9 101.8 97.5 93.8
M 0.984 181.8 154.8 137.5 125.2 115.9 108.5 102.5 97.5 93.2 89.5
M 0.986 181.6 151.6 133.2 120.5 111.1 103.7 97.7 92.7 88.5 84.9
M 0.988 181.4 147.6 128.2 115.1 105.5 98.1 92.2 87.3 83.2 79.7
M 0.99 181.1 142.7 122 108.5 98.9 91.6 85.8 81.1 77.1 73.7
M 0.992 180.9 136.1 114.2 100.6 91.1 83.9 78.4 73.8 70.1 66.9
M 0.994 180.7 127 104.1 90.5 81.3 74.6 69.4 65.2 61.7 58.8
M 0.996 180.5 113.4 89.9 77.1 68.6 62.6 58 54.3 51.3 48.8
M 0.998 180.2 89.4 67.9 57.1 50.3 45.5 42 39.2 36.9 35.1
M 1 0 0 0 0 0 0 0 0 0 0
S = center of the Sun
M = center of the Moon
AB is the solar diameter passing through M
m = magnitude of the eclipse
Alfa=arc JAK
R = lunar radius, that of the Sun is 1