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