18 



FORMULES DE LA NUTATION ANNUELLE. 



21 ,A sin(ÔC-r'— 2Q + f )|_3 ,,l sin((> r'_2Q + y) 

 + 8 8,ei -3in(3C-r'-2Q- f )j 8 * " j_sin((>r'-2Q-y) 



M i sin(4C— 2r'-2Q+ f ) 



8 S,C l )_sin(4C— 2r'-2Q-y) 



3^ ( sin(4C — 4Q + P )i 77 < sin (4C — 4r'-4- f )i 1_ ,| (c, + c,) sin (2<C — 5Q -t- y) 



h * « $i ° j_ sin (4C - 4T'— f ) J + 4 ' ( -t- (c, - c,) sin (2(T - 3Q — y) 



128 



■ sin(4r_4Q — f )) 16 



7 , 5 | (c,+ f 2 )sin(3C— r'— 3Q + y)j_l e , i3 | ( Cl +c s )sin(Or'— 3Q + y) j_J_ s ^ 

 S 6 ' ( + (fi— f 2 )sin(5(C— r'— 3Q— y)J 8 l | +(«,— f 2 ) sin (£>!"— 3Q— y)j 16 ' 



(l + c,)siii(2C— 4Q+ f )| 



.(l_c,)sin(2C— 4Q— f)| 



53 f sin(5(T— 5r'+y)) 9 g , 2 ( (c.-*-c 2 )sin(2(r— 2r'— Q ■*■?)) 53 ? „ ( (c, + c,)sin(3C— 3r'— Q-»-?)) 

 ^lë^ (— sin^C;— 3r'— ?)) + 4 e '"(-«-(c,— c 2 )sin(2(Ç— 2r'— Q— y) ) "*" 16 e l j -t- (c,-c s ) sin (3^ — 5r'— Q — y)i 



51 , ( (i+r,)rsin(500— r'— r — ,)— sin(3(C-0 — I"-J-T — y)]) 15 , ( (l + c,)sin((Ç-0-»-r'-t-r- f ) 



Siéent] t ,,} s,eeml 



4 (+(1 — c,)[sin(3(;-4-0— r'-r-H f )— sin(3C;— 0— r'-+-r-+- ? )jj 4 



-(1 — c,)sin((;-0+r'-t-r-+- f ) 



15 , (' (l + c,)sin(([>o-4-r'— r — ? ) 



— Sj6 6t)l \ 



4 (-+-(1— c,) sin ((;-+- O -HT'— r + j>) 



11 



165 



ï ffl + 7 e 



3 , 59 , 



— 7 l "*- ~ w 



4 o 



(c,+ c,)sin(4C— 20 — Q — P ) 



713 



1 5 h m 



8 



(c, -t- cO sin (C + 2© — r'- Q — y) , 

 ■ (c, - c) sin (C -+- 2© — r'— Q + y) | 



255 i (c,+ c 2 )sin(2£>20— 2r'— Q — y) 



j e '.m { 



.( C| — c,)sin(4C— 20 — Q + j»)) 16 | -»- (c,-c 2 ) sin (2^+2© — 2f— Q + y) 



51 j (c 1 +c 2 )[sin(ô(T-0-r'-+-]-Q-y)-sin(3C+©-r'-r-Q-y)]^ 

 4 ea " i (+(c 1 -f 2 )[sin(3(;-©-r'-+-r-Q-t-y)-sin(5C:+©-r'-r-Q-+-y)j|" , "32 6 "" i+(f,-c 2 )sin(C-2©-Hr'-t-Q+y) 



35 , ( (c,-t-c 2 )sin((C-2©+r'+Q-y; 

 e wn 



33 , .( ( Cl -t-f 2 )sin(5C— 20— r'— Q + y)) 45 j (c 1 + c 2 )[sin(2Q — 2r'-Q-*-y)-sin(2<Ç— 2© — Q + y)| 

 32 j H -(f 1 _c 2 )sin(3C-2©— r'-Q-y)) 16 ( + ( Cl _ Cs )[ s in(20— 2r'-Q— f )-sin(2C— 2Q-'Q J — y)] 



_? e 'eimi ^ 1+ f *)[ sin (OG>— r ~ r '— Q + f)— sin(C— ©+r— r'— Q + ?)]j 225^ ^ < (H-e,)sin(4©-2r'- ? ); 

 4 ee "'" i (-t-(c 1 — c 2 )[sin((TH-0— r-r'-Q— y)— sin(t— O+T — r— Q— y)jT 32 S ' e "* j + (l-c,)sin(4©-2r'+ P ); 



00 3 



s,e»r 



8 



(1 -+- c,)[sin (O -+- r — y) — sin (3©— r — y) — sin (4(£— 5© -+- r — y) -t- sin (4£— © — r — y)] 

 + (1 — c,)[sin(© + r -+- y) — sin (3© — r -t- y) — sin (4{£— 5© -+- r -+- y) -t- sin (4<£ — © — r -+- y)] 



(l-t-f,)sin(3C-+-2© -3r'— y)) 15 i (I + c,) sin (3(> 2© — r'— 2Q — y) 



345 , 



s,e m , 



8 |-t-(l — c,)sin(5(£-t-20 — 3r'-+-y)) 16 ! -+- (1 — c,)sin (3^-t- 2© — r'— 2Q -i- f ) 



_45 , ( (l+r,)[sin(3C;— ©+r'-r- f )-t-sin(<00 — r'-t-r-y)-sin(3<C— 3©-»-r'-*-r- P )-sin(030— r'-r— ? )]j 

 4 ' (+(1- c,)[sin(3C-©+r'— r-H f )+sin(C+0— r'+H-y)— sin(3C— 3©+r'+r-4- f )— sin(C-t-3Q— r'— r+y)]j 



(20) 



Suite. 



15 ( (l+c,)sin(C-2©+r*-4-2Q-y)) 121 



16 (-4-(l-c,)sin v C-2©+r'+2Q+y)S 128 



v l+c 1 )sin(2(C-4©4-y)) 225 „ ( (l+c,)sin(4C-4©+2r'-y)) 



> I Ç fi ïîJ < ï 



1— c,)sin(2C-40-y)j 52 ' (+(l-c,)sin(4(;-40+2r'-t-y)) 



«9 „ ( (1-»-f 1 )rsin(4C-+-©-2l"-r-y)-sin(4C-©-2r'-t-r-y)lj 15 , ( (l+c 1 )sin(C-20-t-r'-2OH- f ) 



-s,e'em 



•(l-f 1 )[s.in(4(r+©-2r'-r+y)-sin(4(;-©-2r'+r-4-y)]| 16 



-— s t e im 



-(l-c,)sin(C-2©-t-r'-2Q- y)J 



