UNDERSÖKNING AF PLANETEN PANDORAS RÖRELSE. 



111 



66. 



Adderar man de i afdelningarne i' = o ingående termerna och inför de arbiträra 



konstanterna, så erhåller man : 

 j = 1 — 41,"66 + k + 0,"02577 (n)t 



+ j 7/48 + ^ i cos( £ ) 

 + 0,"36288(w)*cos(e) 

 + 1,"04 cos2( 6 ) 

 — 0,"07 cos3(é) 



+ ;— 0/'23 + 7c 2 j sin O) 

 + 9/'60828(»)*sun(e) 

 — 0,"59sin2( £ ) 

 + 0/'03sin3( £ ) 



c + J-5a_42, B 87-10 + ;&*■ 



«„ e,. 7 / , ,, . 



2-^= — "02 



21 fl 



d(i) 



+ jO,"00-gÄ,J cos(e) + [-^Ö + g^i sin (c) 

 — 9,"61002 (n)t cos(£) + 0,"36294 (n)t sin («) 

 + 0,"94 cos 2( £ ) + 2,"22 sin 2( £ ) 



— 0,"06 cos 3(e) —0/15 sin 3( e ) 



J^|!i 1,-08 



cos % a{ t ) ' 



+ j2,"58 + 1\ cos ( 4 ) + j— '0,"54— ^ jsin( £ ) 



— l,"13028(»)tf cos(e) — 5/'07442(w)*sin(é) ' 



— 1/19 cos 2( £ ) + 0,"26 sin 2( £ ) 

 + 0,"10 cos 3(e) 



tf|" = JT+0/'02577(w)* 



-0/13 cos ( 4 ) 

 — 0,"28cos2( £ ) 

 + 0/'02 cos 3( 4 ) 



— 0,"03 sin 3(e) 



— 0/13 sin ( £ ) 

 + 0/14 sin 2(é) 

 — 0,"01 sin 3(e) 



+ |Q,»56-gfc,jooB( fl ) +|16/'87 + ^(l-| 2 )Ä 1 !sin( 4 ) 

 — 9/'61O02 (n)< cos (a) + 0,"35928 (n)t sin ( £ ) 



+ |0/'27 + ^f *,| co S 2( £) + !-0/'25-g^ 1 ! sin2( £ ) 

 + 0,"34123(rc)*cos2(é) — 0/'0l288(w)f sin2( £ ) 



- 0/'02 cos3(e) — 0,"04 sin3( £ ) 



2»/ = 2C— 0/'05156(w)* 



+ ^_7/'36- ( -|7 Cl ! cos ( £ ) + [0,"36-^ 2 J sin ( £ ) 



- 0,"36293 («)* cos (e) — 9,"61002 (w)tf sin (é) 



- 0,"78 cos 2(e) + 0/46 sin 2(e) 

 + 0/'06 cos 3(e) - 0,"02 sin 3( £ ) 



^ = + 0,»58 - e k - 0/72074 (n)t 



+ \— 0',59 + y cos( £ ) + j— 2/'59 + /|sin( £ ) 

 + 5/'Ö7442(w)f cos(e) — 1,"-13028(»> sin(e)/ 

 — 0/'09 cos 20) —0/42 sin 2( £ ) 



+ 0,"01 cos 3( £ ) + 0/'03 sin 3( £ ) 



I 



De eqvationer, hvilka bestämma de arbiträra konstanterna i andra approximatio- 

 nen, äro följande (II. 94): 



"o = c + w f 1 - ¥) *» sin (fi )o - (g ] h cos 0)o - 5 1 *i sin 2 0)o + <§ i K °os 2( £ ) + W*)o 

 o = k + k 1 cos ( £ ) + 7c 2 sin (s) -+■ |-^J 



o = - I g * - i ^ -<g Ä, cos ( £ ) - ^fc 2 sin ( £ ) + 2(v) -fiZ 



o = ^h sin ( £ )„ - |y A 2 cos ( £ )„ + 2 (j^ 



o = — el, + 7 sin ( £ ) + \ cos («)„ + (-^ q 



o = lco S (e) -l lS m(a) + ^(J^, 



hvilka kunna skrifvas under formen: 



g • c = <J> c + (l - e f) \ sin ( 4 ) - h 2 cos ( £ ) - | *, sin 2( £ ) +%k, cos 2( £ ) + g K«$'s) 



o = 7c + A, cos ( £ ) + 7c 2 sin ( £ ) + 



dt / 



(«), 



o = — | & — | e^ — fc, cos ( £ ) — 7c 2 sin ( £ ) — Z+2 K V ' („)„ 



