Full text: [Theoretischer astronomischer Nachlass] (7. Band)

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ALLGEMEINE STÖRUNGEN DER PALLAS. ERSTE RECHNUNG. 
525 
“Waat aas s 
- 16"0 3 sin [iM'~ 
- 106, 81 sin (4M’- 
- 21,21 sin (4-M 7 — 
0, 4 8 sin [bUI 1 — 
0, 9 6 Sin (5Jf'- 
4, 6 7 Sin 
- 16, 3 4 sin [hM'~ 
-3121, 14 Sin (5M'- 
3,20 Sin (5M’- 
0,42 sin {6M'~ 
1, 51 sin (ßM'~ 
4, 9 6 sin (eiif'- 
- 21,26 sin (6-M 7 - 
- 39, 24 Sin (6M'~ 
1, 00 sin (6ilf'- 
0, 52 sin [lM'~ 
1, 63 Sin (7M'~ 
3 M+ 27 2° 42 ; 10") 
2M+ 42 6 35 ) 
M+ 168 53 16 ) 
6M-\- 344 7 4 ) 
5M-\- 76 38 4 ) 
175 2 21 ) 
■ 3M-\- 303 38 18 ) 
■2M + 69 57 58 ) 
M-f 192 27 56 ) 
■ 6üf 4- 357 25 14 ) 
■5M-\- 78 28 31 ) 
• liüf-j- 204 27 13 ) 
- 3M-\- 332 22 56 ) 
■ 2ifeT-f- 86 31 33 ) 
• M —f— 20 3 22 3 ) 
• 6ilf-(- 355 56 19 ) 
- 5M-\- 110 12 38 ) 
- 4, 7 5SÍn(7Üf'— 
- 58, 94 Sin (7M'— 
- 3,6 0 sin [iM'— 
- 0,6 0 sin (8M'— 
- 1,56 sin (8M'— 
- 5, 3 5 sin (8iüf'— 
-193, 69 Sin (8M'— 
- 0, 58 Sin (9.M 7 — 
- 1, 46 Sin (9ÜZ 7 — 
- 8,7 6 sin (O-M 7 — 
- 4, 38 Sin (9iif'— 
- 0, 51 sin 
- 1, 45 Sin (loJIT- 
- 89, 91 Sin (10M'- 
- 1,86 sin (11 M'~ 
- 7,61 sin (11 .M 7 — 
4Jf-f- 233°40' 55") 
9M+ 358 44 52 ) 
2M-\- 126 53 40 ) 
6ilf+ 16 54 19 ) 
5-M”-(- 138 29 50 ) 
4iHf+ 263 25 0 ) 
3jf+ 27 39 28 ) 
6Ü¡f+ 41 12 9 ) 
5M-\- 165 36 3 ) 
4M-\- 291 12 39 ) 
3üf+ 52 59 0 ) 
-6Jf+ 68°5l'43") 
- 5Jf-f- 191 55 30 ) 
- 313 17 2 ) 
- 5M-\- 216 56 27 ) 
- 4üf+ 340 2 2 ). 
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[12.] 
[Zur Berechnung der Störungen des zweiten Theils e der Epoche wird die Integration des Ausdrucks 
2 T cos cp. T erfordert; nachdem dieser durch die Interpolationsrechnung hergestellt ist, ergibt seine Inte 
gration den Wert von 
e — (l — cos*)Q — (1 — cos cp) | 65 — (1 — cosi)Q | = e — (l — cos cp) & — cos cp (l — cosi)Q . 
Die Integration für unser Beispiel: 
log h 0,69697 
log h' 1,1 04 35 M 
Q = 158°37'29" 
log cos Q 9,96905jj also das Störungsglied: 
g 1,13530 + 243 '' 02 cos (öili 7 — -f 158°37' 29"). 
log ^5^ 2^., . 8,74966 m 
2,38564 n 
Die gesammten Störungen ergehen sich, wie folgt: 
6e — (l — cosz) 8Q — (l — cos cp) | 8 65 — (1 — cosz) 8Q | = 
— 2l"22 COS ( M+ 349° 0' 41") + 2"20 COS (Jf'— \M -f 231°22' 46") 
— 12, 47 COS (2jf-j- 147 32 36 ) + 5, 76 COS [M'—3li-[-290 31 20 ) 
— 2, 73 COS [zM-\- 212 6 43 ) + 13, 43 COS [M 1 — 2M+ 95 34 53 ) 
+ 12, 20 COS (üf'— J4” —{— 258 52 47 ) 
IN
	        
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