r/R   c/R     beta
0.15  0.2453  29.481
0.20  0.2622  26.991
0.25  0.2795  24.815
0.30  0.2982  23.113
0.35  0.3153  21.679
0.40  0.3314  20.447
0.45  0.3463  19.453
0.50  0.3599  18.591
0.55  0.3716  17.888
0.60  0.3790  17.328
0.65  0.3822  17.075
0.70  0.3828  16.767
0.75  0.3801  16.386
0.80  0.3703  16.039
0.85  0.3482  15.950
0.90  0.3078  16.370
0.95  0.2297  18.277
1.00  0.0284  21.148