r/R   c/R     beta
0.15  0.3176  15.947
0.20  0.3367  15.916
0.25  0.3383  16.010
0.30  0.3379  15.843
0.35  0.3369  15.373
0.40  0.3357  14.543
0.45  0.3342  13.531
0.50  0.3327  12.358
0.55  0.3310  11.235
0.60  0.3295  10.201
0.65  0.3283   9.359
0.70  0.3277   8.667
0.75  0.3270   8.069
0.80  0.3259   7.613
0.85  0.3253   7.244
0.90  0.3216   6.725
0.95  0.2866   6.095
1.00  0.1008   1.749