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

y J . \'—i 
228 
THEORIA MOTUS OORPORUM COELESTIUM, LIBER II. SECTIO II. 
quantitates P\ P", Q\ Q" exacte quidem nondum determinari possunt; attamen 
quum habeatur 
-i' _ (7) 01) 
— t (7) 12) 
-V (7)23) 
- V' ; * (7) 12) 
V. Q' = 
VT D" i Ithif" /'i t' 
’ ^ 2 l, / j x'r'" (7) 12) (7)23) COS i(v" — v'] cos-*-(t/" — v’] cos % [v'" — v") 
rr" (7) 01) (7) 12) cos -*- («'— v) cos-*- [v" —v) cos -*- [v" —v') 
r » r " 1 
statim adsunt valores approximari 
P' 
quibus calculus primus superstruetur. 
i" 
-jprr i — c 
1 ~ V ,T ^V f 
Q" = 4rkk[f-t"), 
169. 
Absoluto calculo art. praec. ante omnia arcum C'C" determinare oportebit. 
Quod fiet commodissime, si antea perinde ut in art. 137 intersectio D circu 
lorum maximorum A'C'B\ A"C"B" mutuaque inclinatio s eruta fuerit: in 
venietur dein ex s, C'D = z'-\-B'D atque C"D — z"-{- B"D, per formulas 
easdem quas in art. 144 tradidimus, non modo C'C" — v"—v\ sed etiam an 
guli (V, m"), sub quibus circuli maximi A'B\ A"B" circulum maximum C'C" 
secant. 
Postquam arcus v"—v' inventus est, v'— v et r eruentur e combinatione 
aequationum 
r" sin [v"—v') 
r sin iv'— V) = 
r sin [v'— v -f- v"— v'] 
1-j-P' r' sin [v"— v') 
1 + 
Q' 
et perinde r" atque v"’—v" e combinatione harum 
r sm [V 
r' sin [v"—v' 
r sin Í V 
■v — V ] = 
1+P' 
r " sm [v —V 
1 +
	        
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