Page 172 - Essentials of applied mathematics for scientists and engineers

book Mobk070 March 22, 2007 11:7

162 ESSENTIALS OF APPLIED MATHEMATICS FOR SCIENTISTS AND ENGINEERS

TABLE A.2: (continue)

α cotα + C = 0.
C α 1 α 2 α 3 C α 1 α 2
0.5 1.8366 4.8158 7.9171 11.0409 14.1724 17.3076
0.6 1.8798 4.8358 7.9295 11.0498 14.1795 17.3134

0.7 1.9203 4.8556 7.9419 11.0588 14.1865 17.3192
0.8 1.9586 4.8751 7.9542 11.0677 14.1935 17.3249
0.9 1.9947 4.8943 7.9665 11.0767 14.2005 17.3306
1.0 2.0288 4.9132 7.9787 11.0856 14.2075 17.3364
1.5 2.1746 5.0037 8.0385 1 J.l296 14.2421 17.3649

2.0 2.2889 5.0870 8.0962 1 J.l727 14.2764 17.3932
3.0 2.4557 5.2329 8.2045 11.2560 14.3434 17.4490
4.0 2.5704 5.3540 8.3029 11.3349 14.4080 17.5034

5.0 2.6537 5.4544 8.3914 11.4086 14.4699 17.5562
6.0 2.7165 5.5378 8.4703 11.4773 14.5288 17.6072
7.0 2.7654 5,6078 8.5406 11.5408 14.5847 17.6562
8.0 2.8044 5.6669 8.6031 11.5994 14.6374 17.7032
9.0 2.8363 5.7172 8.6587 11.6532 14.6870 17.7481

10.0 2.8628 5.7606 8.7083 11.7027 14.7335 17.7908
15.0 2.9476 5.9080 8.8898 11.8959 14.9251 17.9742
20.0 2.9930 5.9921 9.0019 12.0250 15.0625 18.1136
30.0 3.0406 6.0831 9.1294 12.1807 15.2380 18.3018

40.0 3.0651 6.1311 9.1987 12.2688 15.3417 18.4180
50.0 3.0801 6.1606 9.2420 12.3247 15.4090 18.4953
60.0 3.0901 6.1805 9.2715 12.3632 15.4559 18.5497
80.0 3.1028 6.2058 9.3089 12.4124 15.5164 18.6209

100.0 3.1105 6.2211 9.3317 12.4426 15.5537 18.6650
∞ 3.1416 6.2832 9.4248 12.5664 15.7080 18.8496
† The roots of this equation are all real if C > −1. These negative values of C arise in
connection with the sphere, §9.4.