1# Table was made with:
2#
3# seq 0 1 180 | awk '{print $1" "$1*3.14159265358979323846/180}' | awk '{printf "%20g %20g %20g\n", $1,
4#    0.5*460.2  *($1-111)^2,
5# -1*0.5*406.2*2*($1-111)}'
6                   0          2.83506e+06              45088.2
7                   1          2.78421e+06                44682
8                   2          2.73382e+06              44275.8
9                   3          2.68389e+06              43869.6
10                   4          2.63441e+06              43463.4
11                   5           2.5854e+06              43057.2
12                   6          2.53685e+06                42651
13                   7          2.48876e+06              42244.8
14                   8          2.44113e+06              41838.6
15                   9          2.39396e+06              41432.4
16                  10          2.34725e+06              41026.2
17                  11            2.301e+06                40620
18                  12          2.25521e+06              40213.8
19                  13          2.20988e+06              39807.6
20                  14          2.16501e+06              39401.4
21                  15           2.1206e+06              38995.2
22                  16          2.07665e+06                38589
23                  17          2.03316e+06              38182.8
24                  18          1.99013e+06              37776.6
25                  19          1.94757e+06              37370.4
26                  20          1.90546e+06              36964.2
27                  21          1.86381e+06                36558
28                  22          1.82262e+06              36151.8
29                  23          1.78189e+06              35745.6
30                  24          1.74163e+06              35339.4
31                  25          1.70182e+06              34933.2
32                  26          1.66247e+06                34527
33                  27          1.62359e+06              34120.8
34                  28          1.58516e+06              33714.6
35                  29          1.54719e+06              33308.4
36                  30          1.50969e+06              32902.2
37                  31          1.47264e+06                32496
38                  32          1.43605e+06              32089.8
39                  33          1.39993e+06              31683.6
40                  34          1.36426e+06              31277.4
41                  35          1.32906e+06              30871.2
42                  36          1.29431e+06                30465
43                  37          1.26003e+06              30058.8
44                  38           1.2262e+06              29652.6
45                  39          1.19284e+06              29246.4
46                  40          1.15993e+06              28840.2
47                  41          1.12749e+06                28434
48                  42          1.09551e+06              28027.8
49                  43          1.06398e+06              27621.6
50                  44          1.03292e+06              27215.4
51                  45          1.00232e+06              26809.2
52                  46               972172                26403
53                  47               942490              25996.8
54                  48               913267              25590.6
55                  49               884504              25184.4
56                  50               856202              24778.2
57                  51               828360                24372
58                  52               800978              23965.8
59                  53               774056              23559.6
60                  54               747595              23153.4
61                  55               721594              22747.2
62                  56               696052                22341
63                  57               670972              21934.8
64                  58               646351              21528.6
65                  59               622190              21122.4
66                  60               598490              20716.2
67                  61               575250                20310
68                  62               552470              19903.8
69                  63               530150              19497.6
70                  64               508291              19091.4
71                  65               486892              18685.2
72                  66               465952                18279
73                  67               445474              17872.8
74                  68               425455              17466.6
75                  69               405896              17060.4
76                  70               386798              16654.2
77                  71               368160                16248
78                  72               349982              15841.8
79                  73               332264              15435.6
80                  74               315007              15029.4
81                  75               298210              14623.2
82                  76               281872                14217
83                  77               265996              13810.8
84                  78               250579              13404.6
85                  79               235622              12998.4
86                  80               221126              12592.2
87                  81               207090                12186
88                  82               193514              11779.8
89                  83               180398              11373.6
90                  84               167743              10967.4
91                  85               155548              10561.2
92                  86               143812                10155
93                  87               132538               9748.8
94                  88               121723               9342.6
95                  89               111368               8936.4
96                  90               101474               8530.2
97                  91                92040                 8124
98                  92              83066.1               7717.8
99                  93              74552.4               7311.6
100                  94              66498.9               6905.4
101                  95              58905.6               6499.2
102                  96              51772.5                 6093
103                  97              45099.6               5686.8
104                  98              38886.9               5280.6
105                  99              33134.4               4874.4
106                 100              27842.1               4468.2
107                 101                23010                 4062
108                 102              18638.1               3655.8
109                 103              14726.4               3249.6
110                 104              11274.9               2843.4
111                 105               8283.6               2437.2
112                 106               5752.5                 2031
113                 107               3681.6               1624.8
114                 108               2070.9               1218.6
115                 109                920.4                812.4
116                 110                230.1                406.2
117                 111                    0                   -0
118                 112                230.1               -406.2
119                 113                920.4               -812.4
120                 114               2070.9              -1218.6
121                 115               3681.6              -1624.8
122                 116               5752.5                -2031
123                 117               8283.6              -2437.2
124                 118              11274.9              -2843.4
125                 119              14726.4              -3249.6
126                 120              18638.1              -3655.8
127                 121                23010                -4062
128                 122              27842.1              -4468.2
129                 123              33134.4              -4874.4
130                 124              38886.9              -5280.6
131                 125              45099.6              -5686.8
132                 126              51772.5                -6093
133                 127              58905.6              -6499.2
134                 128              66498.9              -6905.4
135                 129              74552.4              -7311.6
136                 130              83066.1              -7717.8
137                 131                92040                -8124
138                 132               101474              -8530.2
139                 133               111368              -8936.4
140                 134               121723              -9342.6
141                 135               132538              -9748.8
142                 136               143812               -10155
143                 137               155548             -10561.2
144                 138               167743             -10967.4
145                 139               180398             -11373.6
146                 140               193514             -11779.8
147                 141               207090               -12186
148                 142               221126             -12592.2
149                 143               235622             -12998.4
150                 144               250579             -13404.6
151                 145               265996             -13810.8
152                 146               281872               -14217
153                 147               298210             -14623.2
154                 148               315007             -15029.4
155                 149               332264             -15435.6
156                 150               349982             -15841.8
157                 151               368160               -16248
158                 152               386798             -16654.2
159                 153               405896             -17060.4
160                 154               425455             -17466.6
161                 155               445474             -17872.8
162                 156               465952               -18279
163                 157               486892             -18685.2
164                 158               508291             -19091.4
165                 159               530150             -19497.6
166                 160               552470             -19903.8
167                 161               575250               -20310
168                 162               598490             -20716.2
169                 163               622190             -21122.4
170                 164               646351             -21528.6
171                 165               670972             -21934.8
172                 166               696052               -22341
173                 167               721594             -22747.2
174                 168               747595             -23153.4
175                 169               774056             -23559.6
176                 170               800978             -23965.8
177                 171               828360               -24372
178                 172               856202             -24778.2
179                 173               884504             -25184.4
180                 174               913267             -25590.6
181                 175               942490             -25996.8
182                 176               972172               -26403
183                 177          1.00232e+06             -26809.2
184                 178          1.03292e+06             -27215.4
185                 179          1.06398e+06             -27621.6
186                 180          1.09551e+06             -28027.8
187