( 725 ) 



a,, = - 0.00097 (1 + ;.J 

 (J,, rz= — 0.00094 (1 + J,) 

 .7„, = - 00441 (1 + A,) 

 (7,, = - 0.00363(1 +;ij 



Ö,, y, = - 0.00003 

 (T„, y, = — 00044 

 ^0, 7^ == - 0.00081 

 r/„^ y^ = — 00092 



Before giving the expressions for the perturbations I will first state 

 the values of the arguments. For brevity I put 



T = /, — /g V Z=l^ — 2/, (fi — V -\- to, 



L = the mean longitude of Jupiter 

 M= ,, „ anomaly ,, „ 



W= 5/^^— 2/^^'— 16°31' 

 W,= U^' -W- 1 30 

 V=2L- 26' + 180^ 

 V' = 2L — 6. 



in Levkrrier's notatioji. 



The values of the arguments then are, if t is the time counted in 

 days from 1900 Jan. 0, Mean Greenwich Noon (J. D. 2415020) : 



/, = 142°604 + 203.4889 9261 t 

 /, =3 99 5M4 + 101.3747 6145 < 

 /, = 167.999 4- 50.3176 4587 i 

 /, = 234.372 -f 21.57110965^ 



T = 291°. 535 + 51°.0571166 t v — 123°.5 + 0°.73947 t 



i|j — 252°.4 + 0°.14081 t 



w, = 155.5 +0.14703 t 

 w, = 62.7 + 0.03896 t 

 c5, = 338.3 + 0.00703 t 

 t5, = 283.15 + 0.001896 i 



ip^ = 279.0 -f 0.88650 « 

 (ƒ), = 186.2 + 77843 t 

 y, = 101.8 + 0.74650 t 

 If,— 46.7 + 0.74137 t 



d^— 60 2 —0 13614 t 

 6^ — 293.16 - 032335 L 

 6^ = 319.71 — 006854 t 

 8.— 11.96 — 001772 r 



r^— 75 6 + 136 18 t 

 r, = 202.64 + 0.032 373 < 

 r, = 170.09 -f 006 892 t 

 r, = 123.84 + 0.001 810^ 



6 — 315°.8ü0 4- 0°.000 0381 t 

 &— 135 779 + .000 038n 



L — 238°.0 -f 0^08313 t M — 225°.3 + 0.08308 i 



1^=117.9 4-0.00112^ W^— 64 2 + 001617^ 

 V— 24.54-0 16608^ F' = 160 ,3 + 0.16612 i 



The periodic perturbatiojis in the latitudes are of the form : 

 djp,- = Y. sin a 

 (fqi = Ti cos a 



ösi = X 8171 (u,- ■ 



ê') 



