durch Jupiter, Saturn und Mars. 69 



24a' = 2(0)"^ + (60)"^ -t- (30)' V'3 + C^W]'^ ■+■ f(15)'= ■+■ 2(45)^] y^- 

 12a'" = (or-(60)' +{(15)'- (45)'}]/-i 



24«" = 2(0)'+ (60)' — (.30)'>/3 + (15)']/|- — {(15)'+ 2(45)'| ^^ 

 24a''" = 2(0)'+ (60)' — (30)']/3 — (15)' j'^ + {(15)'+ 2(45)'| l/-|- 

 12a'^ = (0)' — (60)' — {(15)' — (45)'} ]f^ 



21a" = 2(0)'+ (60)'+ (30)'V'3 — (15)']/^ — {(15)'+ 2(45)'| -^^ 



und setzt man 



(15) — (345) = (15)' (105) — (255) = (105)' 



(30) — (330) = (30)' (120) — (210) = (120)' 



(45) — (315) = (45)' (135) — (225) = (135)' 



(60) — (300) = (60)' (150) — (210) = (150)' 



(75) — (285) = (75)' (165) — (195) = (165)' 

 (90) — (270) = (90)' 



ferner 



(15)' + (165)' = (15)' (15)' — (165)' = (15)' 



+ — 



(30)' + (150)' = (30)' (30)' — (150)' = (30)' 



+ — 



(45)' + (135)' = (45)' (45)' — (135)' = (45)' 



+ — 



(60)' + (120)' = (60)' (60)' — (120)' = (60)* 



(75)' + (105)' = (75)' (75)' — (105)' = (75)' 



■*- — 



endlich 



(15)'+ (75)' = (15)' (15)' - (75)' = (15)' 



-4- + ++ + + •\ 



(30)' + (60)' = (30)' (30)' — (60)' = (30)' 



H- + -t--t- + + H 



(15)' + (75)' = (15)' (15)' - (75)' = (\J,y 



(30)' + (60)' = (30)' (30)' — (60)' = (30)' 



SO erhält man für die Coefficienten der Sinus 



2ib" = (30)'y3 + (15)' +2(45)' 



— 1- — + - 



24i"' = (30)' V'3 + (15)' V'3 



nb"' = (15)' — (45)' 



■Z4b"" = — (30)' ys + (15)' v'3 



2ib'- = — (30)' ys + (15)' + 2(45)' 



h — -*- — 



