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obtaining a good constancy of (38). The results are contained in the following tables, corresponding to the tables III and IV in Kaufmann's paper.
III. s=0,933.
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| β | ψ(β) | k2 | β' | k2' |
| 0.851 0.766 0.727 0.6615 0.6075 |
2.147 1.86 1.78 1.66 1.595 |
1.721 1.736 1.725 1.727 1.655 |
0.794 0.715 0.678 0.617 0.567 |
2.246 2.258 2.256 2.256 2.175 |
IV. s=0,954.
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| β | ψ(β) | k2 | β' | k2' |
| 0.963 0.949 0.933 0.883 0.860 0.830 0.801 0.777 0.752 0.732 |
3.23 2.86 2.73 2.31 2.195 2.06 1.96 1.89 1.83 1.785 |
8.12 7.99 7.46 8.32 8.09 8.13 8.13 8.04 8.02 7.97 |
0.919 0.905 0.800 0.842 0.820 0.792 0.764 0.741 0.717 0.698 |
10.36 9.70 9.28 10.36 10.15 10.23 10.28 10.20 10.22 10.18 |
The constancy of k2' is seen to come out no less satisfactory than that of k2, the more so as in each case the value of s has been determined by means of only two measurements. The coefficient has been so chosen that for these two observations, which were in Table III the first and the last but one, and in Table IV the first and the last, the values of k2' should be proportional to those of k2.
I shall next consider two series from a later publication by Kaufmann,[1] which have been calculated by Runge[2] by means of the method of
