( 127 ) 

 The inequalities öVi and öqi are : 



la. Equations of the centre. 

 ÖVi = a 1 sin {li — to,) -(- a,-2 sin (// — (5 J -fa/a sin {li — <'J'j)+ a/4 sin {l; — tu^) 



a,, = -f- O°O062 a,, H (M)()l 1 a,, = + 0°0030 a,^ — -f 0.0014 



a,i = — 0.0002 a.,., — + 0.0344 a,, = + 0281 a,^= + 0.0118 



a,i = OOOO a„ = — 0.0015 a,, = + 1736 a,, = + 0.0706 



a,, = O.OOOd a^, z= 0.0000 a,, — — 0.0204 a^^ =: -f 0.8528 



ÖQi =z a'a COS (li — tüj) -\- a'i^cos (/,— (5J -f '^'i'i<'os (//— (u,) -(-a'i4f'os (/,• — oJJ 



a'„ =: —.000054 a',, = +.000010 a\, = — 000026 a\, = —.000012 

 a',, = -[-.00OO02 a'.,, = -.000800 a'^, = —.000245 a',^ = —.000103 

 a'si ~ .000000 a',, = +.000013 a',, = —.001516 a',^ =z= —.000616 

 a',, = .000000 a'^.^ — .000000 a'^, = -f .000178 a'^^ — —.007445 



The inequalities of tlie groups \b and \c are of the form: 



(ff'i = y. sin a do,- = x' cos a. 



They are : 



coefficient coefficient 



Argument in öv{ in (fQi 



Satellite T. ^ 



2t +0.0034 (14- a,) —.000 017 (1+AJ 



3t +0.0016(1 f ^3) _.000 011 (1+;.,) 



4t +0.4303 —.003 755 {x ,, see above) 



8t +0.0014 + 23A, -.000012-20;, 



Satellite II. ^ 



r — 0.0123 (l+;i,) +.000 061(14;.,) 



2r +0.9875 —.008 617 {x ^, see above) 



3r +0.0052(1+;,) — .000 058 (l+;,i 



4t +o.oo51 + i;,-i;, + io9A, -.000 034+8;, -fi;,- 83;, 



5t +0 0004(1+;,) —.000 006(1+;,) 



6r +0.0005 + 3;, 4 -j;, —.000 008-5;,— 2;, 



/,— /, —0.0006 (If ;j +.000 004(1+;^ 



2(/,-/J +0.0005(1+;,) _.000006(l+;j 



+ .000 002 

 +.000 006 

 — .000 021 

 —.000 008 

 + .000 003 

 + .000 00? 



