LIVRE V, C H A P. VII

--44-17 4i.c0<$-cî)+4.85.cos2($-c?^+F,iixos3($-c^)+-78,44.cos(c^-O/ — 67.94x052/1^— a)- 6.95xoj3(^^-- 2^)4-4,4'.cos^i?—t>)— 2,21. coso(^—"^)

-f 1.0,04.;. .cos l4o' 55' s'' -h 2 d" — $ ) — 20,09. ces (32" 58' 10" -[- 3 cî — 2 J-.j

-f 3,1 1 . cas (.33° 2' 36'' -f- 4 cî — 3 $ ) — 8,58 . cos C4o° ôa' i5" -f Q.) 4-8,73. cos ('7=' 35' 36' -\- 2 (^ — Ui') —54,69. cos(3o° n' )5''-f al^ — S')

— 6,4o . cos ( '7° 35' 36" -I- 3 c? — 2 1^) — 10,74 . cos (53^ 2' Sa" -^ o ç^- 3 3^;

— 2,04. cos (1 1.^ 8^35' 4- 3 (^ — 42^) — 5,56 . cos (27*^ 35' 36" -4- 2 -t,, — J- ): l'inégalité de la longitude de Mars- zn ^^-^

6^49.sin($--c?)-o'^9o,sm■.(5— (^)-24^44-smrc?— S/)-fi3'',6o.sin2((^!>)

-f i",io.sin3r3^ — %)— i',28.sin((3^ — ■5)-[- 0^42 . sin 2 ( J — ■^)

4- i"vi.2 . sin (27" 35' J6" -1-2 $ — $.) 4- o'',65 .sin (^7^ 3/ 36" 4- J )

— i2'^84.,sin(44^45'4-/'4- 2(T — $; - 6^55 . sin (33° 2'3B''-f-3cî - 2$):

-l- 3'',6i ..siu (-^3^ 25' 26" —%)— 2'',87 . sin (27^ 35' 16" ^ 2 cj' — Q,)

— 2r",59.sin (iî° 54' 5i"4^ 21^ ^)4. 2'',29 . sin (5o° o' 24" 4- 2 J — 3^ )- +î!^85.sin(27^35'36'43(5'-2 3^4-o^66.si^(^9°9'-"5.j-^^7l.sin^27°3i'36.^

Tinégalité t^u rayon vecteur de Jupiter zzz

— 56,99-f 644-9f^.cos(^2i — ■^) — £7 53,45. cos 2 (f^T—"^) — 287.20.003-3(2^ — "^) — 744i.cos4(0£— "5^) -24,6.3.cos5(q^— ;t^,)— 9,2o.cos6(2^ -;^ -- i, 70.0037(2/ —;t)) -|-i9 63.cosC^— i;^'b'35")—8o,3i. cos("^+23^32'47"):+-j5, 17.005(2 2^ -:t^-i.i^8'35')

— 290,92 .cos (21° 28' ]6-"4-2tj 3,3 — 128, 25 . cos (39^ 2;^ — Ji°8'd5')

— 879.78 ,cos (61^ 39'3o"-}-3-5 — 2îi)-f236,49 . cos (61° 4' 3' +4^^ — 32.)

4-5o,3i.cus(6i^i3 55"-i-5"fcj--42^'-(i93^64-^-o,o479)oos(3l^-5't)+57 '29'4-^4^"44)' 4^ 22,4* • t'Os (3 5 — 2^ — -6= 39 6' j — 241 ,69 . cos (5 ^j — 23/ -|- 23° 41' 4';^

l'inégalilé de la lougilude ûq Jupiter zzz — 78',9.sin^ a— tJ,■)-^- ^ 94",3 sin^- Q/~"^j4-i 6^22.sin3(.-^--t^,J4-3'',73.s;n4(gz-"5) 4- io'',98 . &u: (i3= 54' 46' 4~ ^., -f 4",96 . sin (1 1° 8' 35" -f - 1» — - ^ 2-)

— îai",62.siii(i^^24'58"^-2'J)— g.j-f;.o",oo47M.sin(4:i^37':4'-|-2,~2-fc)) 4^ 12', 26. sin ((j''8'35"-f-2'5 -^3 2/) ~ 82",94^. sin (60' 53' 16' -^' 35,— 2 o > 4-/.o'',ao4i53.sin 7 >°48'4y ' 4- 2 2^ — S'tj)— i",22 .sin (i i°8'3,3" 4-3.;^) — 4Q j

4- i5",]9. sin ^6;° 4^' i8''-j-4.îî — 3 l^j 4" 0^,82 .sin (89^^ 9' 4- 5 2/ — 6"tj): ^ i2",32 ,.5in,(77°4u' 57"-[- 3-5 — ^/j -4-. io"4,.. s!n.(6Q^ 35; 2" + 4.^ —5^,

42a ASTRONOMIE PHYSIQUE

-^ (7 58",o7 — t . o' ,0037 ^-f- sin (.^7' 4,*' 19'' -f 3 Q^ ^ 5 "tj 4 / . 4 '',54) •+-[ii;sd'-',o'',o47!o8+/^o ',0000066 j sin 5'^-.>!3^+2''26'22 --/.Gi ,8.^9+^.0 ,ool5-;9'*j

l'inégalié du rayon vecteur de Saturne ^1 3P9',i7-j-.8i53,84.cos(i:i: — "fcj)-!- i383,84.cos2(Q^— "fc> -|- 3oo.o7.cos3 13^—"^) -i-99 3.COS4 2^--fe^)+i5,6..cosn(g/— ■^)4-i3,93.cos6,2^-t) -f ^^.i-.^o. t)-^) ~394,f.cos'2(t)-$ )-4'5,o3.cos3Cfc)-Ê;-ii,82.cos4 "^^V34. 9i,.cosf"fc)-^i i°8'35 ) 4-5364 7 .cos ;^ii^ 5' 38'' -f- a"^ — ^) - 119379.005 60° i2'53''--f- ^^—iQ^) -f- 202,01 . cos (J-9' 9' -j- 3 ^ — 4^) 4- 1 176,05 . cos (88" 27' 49" -\- ^^ — 0/.)

4-^3443' — /.o,:'240 cos (23^ — 4î) + 58« iô'aS'-i-^ . 4/',-2o>7)

— 6b6, 85. cos (24^ 32' i 6 4- 2 1) — ^ è ) -t- ^^22,58 . cos(5 ;fc^ ■— 2 g/ -f 9^38 47"V l'inégalité de la longitude de Saturne iz

94';4S.sin(69»4i'i6"4-3^— V — 3i''49sin2(q^— ^^ — 6","7.sin3r^— î))

— i'',97.sin4 2^~-t, — o'\7.sin5C2^-t))--9''<^5sin t)- ê)+'4''4^.sin-("b— è) 4-i",43sin3,t)-ê 4-ii'',3i.sin^,84°35'3/H-2^ -|-3",'7.sin,28^6 , i''-4-t>g.--^) 4-4l9^67.sinvl3''56 27'■4^2■fc) — ^) — Z.o',o.53.6.sin'44«4'i/4-2^ — 2-t>)

— 4',9.sin 6i»43']4'4 4"^ — 3^) — i', 42. sin ;6:° i' 4t)'' + 5-5 —42^) 4-1 ,4S.sin( ^ - ;6°8'38' ) ^o ',67.sin:- 9^9 + ^ -2-t> +9 .79.sin (73°io'54 ^'^-^ ^)

-- i",( 9 . sin (89^ 9'4 , ^ —3-^) 4 27 ',32 . sin (24^ 4.' 8' 4 2 t, — 3 ^)

4 o",76 . sin (12* 38 i8'4 4 ^ — 3 ;^) — 56",55 . sin (83^ 3' 6'' 4 3-5 — 3^)

^ 2i",58 .sin (24* 20' 18" 4 23^ — 3-^) — 3i'',25 .sin (89^ 8' 27^4 t) — 3^}

— (,657",7 3 ~ t . o",oi42:^) sin (2 3^ — 4 1) 4 58=^ 22' 37" 4 l . 42",02c2)

sin (5 -tj — ?- î^ -i. 2<'35'i4"--^.53^8779 4r .o",ooij757")3

l'inégalilé du rajo/i vecteur à'Lranus zz

8594.6-^4^91,62. cosfî3i— ê;4 2J,62.coS2(î3^— ^)43368,28.cos(t)— è)

4 3r 6.1 1 . cos 2 ("5 — 5)4 84,55 . cos 3 (^ — (^ ; 4 24,33 . cos 4 .„ t) — ^ ) 4-5754, 6. cos (74» 4^45" 4 î» — '^ Ê J 4 1356,4. cos L^^" ^^^ i»" 4 t) — ^ 5);

l'inégalité de la longitude d'Uranus zn 52",3i-sin 9^— 5H-2o'',32.sin("t)- ^ i— 4',0T.sin2 (t) - 5)— o",82.sin3 (t^- 5)

4i",23.sin ri2"38' 18'' 4 2^)4 1 ",33. su- (1-° 38 1 ^'' 4 t))

4 3'' 6.^ . sin ( o» 38' 18" 4 2 ^ — î^; 4 /',26 . svu (2 ^ ^ ^ - 1 .^^ 8' 35'')

— i39',76.sm (72^7 4:^ — 2^) — o'',83 .sm(i2'»38 18' 4 2;^— ^)