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Table 1
Strengths and positions of the five sources used in the example of Fig. 6, with the fraction of the total area of a sphere of radius R filled by the stream lines emanating from that source vs. the solid angle divided by 4π expected for R →∞ according to Eq. (37).
Sources | Fraction of 4πR2 filled at | μj∕(4π) | ||||
---|---|---|---|---|---|---|
j | mj | rj | R = 5 | R = 10 | R = 20 | |
1 | 1.0 | (2, −3, −1) | 0.1077 | 0.1229 | 0.1247 | 0.1250 |
2 | 1.5 | (2, 2, −1) | 0.1778 | 0.1858 | 0.1870 | 0.1875 |
3 | 2.5 | (−2, 0, −1) | 0.3141 | 0.3116 | 0.3114 | 0.3125 |
4 | 2.5 | (0, 0, 2) | 0.3230 | 0.3138 | 0.3121 | 0.3125 |
5 | 0.5 | (0, 0, 0) | 0.0774 | 0.0659 | 0.0648 | 0.0625 |
∑j | 8.0 | — | 1.0000 | 1.0000 | 1.0000 | 1.0000 |
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