THE ORBITS OF THE EIGHT P R I N C I P A L PLANETS. 49 



[13 E3=r7 3 — 26. 1088235.<7+ 139. 7058334952 

 {MUlH]= r f— 10.2788403.0+ 20.7817233266 

 pTTlprn— ?'— 8.1605433.0+ 4.8678349406 

 EEHJO^— 21. 3624918.0+ 51.4419219482 

 |Trq|TT71 =<y 3 — 19.2441948.0+ 12.0495678407 



(201) 

 (202) 

 (203) 

 (204) 

 (205) 



prrn 17771 =fl 3 — 3.41421 16.0+ 1.79241466734. (206) 



mgiligEgEg^- 47.9507108.^+ 825.82631940.^-) 



—5994.8821218.gr +15174.5513808 j ' ^ ; 



EZJCE3 E3 \Hl\=!/ 1 — 29.523O351.0 8 +230.63929622.^ 

 —523.78311550.0+250.41078507 



We shall therefore obtain the following 



Fundamental Equations for u'=-l-~ -; or /o7* m '= - . 



20 3 / 1428.6 



J. =0 2 — 40.63827162.i7 +200.0557143; (209) 



^'=^—23.31994327.^ +100.7733425; (210) 



A"=f— 18.22902235.0 + 71.3586722; (211) 



A 1 =g i — 14.5939888.gr + 45.9795152; (212) 



A=# 2 — 10.00785623.0 + 6.35434212; (213) 



A~ s =g 2 — 26.183183614.gr + 82.92255281; (214) 



D =^—48.76765014.(7 +728.640657 ; (215) 



D'=rf— 56.24689671.(7 +679.929057; (216) 



Z>"=0 2 — 31.8586536.gr +250.7543893; (217) 



Z> 1= =0*— 48.09966549.0 +201.477252; (218) 



D,=g 2 — 51.052918467.0 + 34.3823105; (219) 



D 3 =g 2 — 3.4187096566.0+ 1.731950106. (220) 



#=J0_34.9O1123OJ&; E — \ 0— 17.591388707^; ) „„-. 

 5"=jr7— 12.508092541 \b; J ( " 



. C = |23.9743622 — 0J[9.176399O]6'; 1 

 <7'= j 17.60614518— (7 1 [8.8694654]o; ' 22 ~ 



C"=— [0.2657810JZ/; ( " 



C""=— [0.2866491]?/; 



E =+[9.6231944]6"; 



E'= |24. 7932880 — 0j[8.5847O28]Z>"; ! 22 g. 



E"= {17.57829706— y}[9.6375865]6" j j 

 £"=+[0.9518913]£"; J 



J . (208) 



F =—[7.6499091]//"; 



j P'=+[8.9577383]6'"; 



F" = \ 14.28035653— g \ [0.8407439]S 



F'"= \ 38.6407515 —g\ [9.4809266]'*; j 



7 October, 187L 



)■ (224) 



