Untersuchungen über die Theorie des Engke'sghen Cometen. 
39 
cos 0)(, 
cos X 
cos 2x 
cos Зх, 
cos 4^ 
cos 5x, 
cos 6x 
cos 7x 
cos 8x 
cos 9x 
cos lOx 
cos llx 
cos 12x 
cos 13x 
cos 14x 
cos 15x 
cos 16x 
cos 17x 
cos 18x 
15° 
+248Г9519 
-427.4184 
+284.7619 
-158.7915 
H-78.5096 
-35.5341 
+14.8731 
-5.7271 
+1.9717 
-0.5559 
+0.0823 
+0.0426 
-0.0543 
+0.0386 
-0.0223 
+0.0120 
-0.0061 
+0.0024 
-0.0007 
30° 
+247Г9286 
-424.7311 
+280.7464 
-153.8450 
+73.5630 
-31.3370 
+11.7362 
-3.6430 
+0.6933 
+0.1725 
-0.3078 
H 0.2406 
-0.1501 
+0.0829 
-0 0427 
+0.0212 
-0.0088 
+0.0025 
-0.0004 
45° 
+2437822 
-415.4236 
+269 5286 
-141.7550 
+62.4474 
-22.5220 
+5.5933 
+0.2372 
-1.5336 
+1.3442 
-0.8703 
Ч-0.4826 
-0.2391 
+0.1064 
-0.0415 
Ч-0.0141 
-0.0033 
-0.0001 
+0.0006 
60° 
+234'466S 
-395.5716 
+247.7580 
-120.1791 
+44.0010 
-8.9264 
-3.1330 
Ч-5.1431 
-3.9270 
+2.3157 
-1.1522 
Ч-0.4879 
-0.1671 
+0.0367 
Ч-0.0050 
-0.0128 
+0.0104 
-0.0057 
+0.0023 
75° 
+218.9200 
-363.5820 
+215.2523 
-90.6407 
+21.0837 
Ч- 6.0375 
-11.2179 
+8.5472 
-4.7746 
Ч-2.0928 
-0.6666 
Ч-0.0761 
Ч-0.0919 
-0.09G6 
+0.0615 
-0.0302 
+0.0114 
-0.0026 
-0.0003 
90° 
+198.5712 
-322.9197 
+176.8351 
-59.1110 
- 0.2149 
+17.2277 
-15.0971 
+8.5025 
-3.3582 
-1-0.6968 
-h0.2520 
-0.3815 
+0.25G1 
-0.1189 
4-О.ОЗ6О 
-0.0015 
-0.0074 
Ч-0.0063 
-0.0033 
105° 
+176.6034 
-280.2626 
-1-139.5817 
-32.1429 
-14.9442 
+21.9711 
-14.1726 
+5.7593 
-0.9802 
-0.6793 
-10.7823 
-0.4464 
+0.1565 
-0.0128 
-0.0283 
-1-0.0248 
-0.0131 
+0.0044 
-0.0005 
120° 
+ 156.2634 
-241.8543 
-I 108.7151 
-13.0225 
-22.3190 
+21.5171 
-10.7121 
+2.5437 
+0.8300 
-1.2615 
+0.7272 
-0.2238 
-0.0133 
Ч-0.0640 
-0.0433 
Ч-0.0155 
0.0000 
-0.0043 
+0.0032 
135° 
+139.7241 
-211.4139 
+ 86.1749 
- 1.3520 
-24.5724 
-НІ8.7717 
-7.1508 
+0.2673 
+1.6214 
-1.1999 
+0.4335 
-0.0076 
-0.1003 
+0.0707 
-0.0242 
-0.0008 
+0.0067 
-0.0044 
Ч-0.0021 
150° 
Ч-1 27.8862 
-190.0739 
+71.4473 
+ 5.0062 
-24 4793 
+15.9842 
-4.6152 
-0.9514 
Ч-1.7926 
-0.9537 
+0.1908 
+0.1049 
-0.1135 
+0.0483 
-0.0041 
-0.0090 
Ч-0.0069 
-0.0025 
+0.0004 
165° 
+120.8883 
-177.6579 
+63.3216 
4- 7.9794 
-23.8141 
Ч-14.1174 
-3.2145 
-1.4693 
+1.7460 
-0.7572 
+0.0583 
+0.1447 
-0.1047 
+0.0314 
+0.0055 
-0.0109 
+0.0055 
-0.0009 
-0.0007 
n X 
n 2x 
пЗх 
n 4x 
u 5x 
n6x 
n 7x 
n8x 
n9x 
n lOx 
n llx 
n 12x 
n 13x 
n 14x 
n 15x 
n 16x 
n 17x 
n 18x 
-32.0134 
+48.3651 
-46.8897 
+35.9211 
-23.6836 
+14.0764 
-7.7514 
+4.0222 
-1.9908 
+0.9376 
-0.4383 
+0.1839 
-0.0813 
+0.0300 
-0.0108 
+0.0031 
-0.0005 
-0.0001 
-41.2884 
+62.0313 
-59.7065 
+45.2980 
-29.4662 
+17.1784 
-9.2080 
+4.6079 
-2.1682 
+0.9584 
-0.3974 
+0.1527 
-0.0523 
Ч-0.0137 
-0.0009 
-0.0018 
+0.0015 
-0.0006 
-55.0195 
+81.8891 
-77.6820 
+57.6687 
-36.3270 
+20.2304 
-10.1534 
+4.6143 
-1.8781 
+0.6581 
-0.1735 
+0.0101 
Ч-0.0292 
-0.0282 
+0.0197 
-0.0084 
+0.0056 
-0.0017 
- 70.3709 
+103.1760 
-95.3593 
+67.9473 
-40.1952 
+20.3200 
-8.7374 
+3.0174 
-0.6366 
-0.1389 
Ч-0.2718 
-0.2083 
-1-0.1219 
-0.0600 
+0.0250 
-0.0084 
+0.0020 
+0.0004 
- 83.2303 
+119.2860 
-105.8038 
+70.4464 
-37.2923 
+15.5155 
-4.3763 
-0.0074 
Ч-1.0854 
-0.9457 
+0.5594 
-0.2581 
Ч-0.0899 
-0.0167 
-0.0065 
-1-0.0097 
-0.0078 
-1-0.0033 
- 90.6017 
+125.9636 
-105.5347 
+63.6412 
-28.0668 
+7.5048 
-1-0.8727 
-2.6553 
+ 2.0300 
-1.0379 
+0.3656 
-0.0499 
-0.0470 
+0.0511 
-0.0309 
+0.0134 
-0.0036 
-0.0002 
- 91.9531 
+123.2951 
-96.3105 
+50.9382 
-16.6396 
+0.0440 
Ч-4.3393 
-3.5008 
+1.6882 
-0.4589 
-0.0659 
10.1582 
-0.1092 
+0.0464 
-0.0088 
-0.0033 
-1-0.0044 
-0.0021 
- 88, 
+114 
-83, 
+37 
-7, 
-4 
+5. 
-2. 
+0. 
+0. 
-0. 
Ч-0. 
-0. 
+0 
+0 
-0 
+0 
-0, 
9850 
8589 
1268 
5292 
1032 
5390 
3250 
8508 
7843 
1297 
2895 
1809 
0620 
0013 
0143 
0112 
0048 
0006 
- 84, 
+104 
-70 
+26 
-0 
-6 
+4 
-1 
H 0, 
+0, 
-0 
+0. 
H-0 
-0, 
+ 0, 
-0 
-0, 
+0 
2058 
9002 
.5236 
7757 
9479 
3994 
.8313 
7945 
,0497 
4097 
2946 
1027 
.0004 
,02.50 
0174 
,0054 
0011 
0021 
-79.6735 
+96.4466 
-60.9613 
+19.5956 
+2.3829 
-6.7798 
+4.0002 
-0.9825 
-0.3350 
+0.4599 
-0.2197 
+0.0335 
-1-0.0297 
-0.0270 
+0.0100 
+0.0006 
-0.0030 
+0.0024 
-76.5785 
+90.9935 
-55.2068 
+15.6623 
+3.8831 
-6.6582 
+3.3837 
-0.5344 
-0.4852 
+0.4376 
-0.1611 
-0.0027 
+0.0398 
-0.0240 
+0.0053 
+0.0022 
-0.0025 
0.0000 
§ 3. 
Aiifstellimg mid lütogration der Differentialgleicliimgeu im StÖruiigs- 
problem. 
Den Ausgangspunkt für die in diesem Abschnitt vorzunehmenden Rechnungen bildet 
das folgende, p. 80 der Pariser Preisschrift gegebene System von Formeln, auf dessen Ab- 
leitung ich nicht eingehe, da dieselbe den meisten Hansen'schen Werken entnommen wer- 
den kann. Ausserdem hat Otto Lesser in der citirten Abhandlung eine sich durch Kürze 
und Uebersichtliclikeit auszeichnende Darstellung desselben Gegenstandes gegeben. 
