22 ÙSTEX JÎERGSTRAXD, 



A: = sin ii^ sin p 



l = sin ;'i cos j; 



111 = cos /(i sin p 



n = cos '/«, cos j») 



«=i^asinl" 



[]]=,« sin (V/- O,) 



[2] = ^ cos I« - /2.) 



[3]= [11 sin.) 



[4] = [2] sin c) 



[5] = m cos /, — /( COS ä sin /, 



[6] = [3] sin /i + /< COS <)' cos ij 



A = -[4J./. + [J]-^+|-'>l-^" + l21eosn.;/ 



i^i = - [4J cos i, .h + [\\ COS i\.l+ [3] . /y/ + [2] . n 



C\ = - [(3J . A- - [2J sin i, . I 



I)i = — 2 Ai cos III 

 J?i = 4- 2 J.1 sin »1 



-A, = + 1 1 1 . A + [4] . / + |2| cos /, . m - [5] . n 

 B, = + [1] cos /, . A + |4J cos /, . I + [2] . m - [3] . u 

 G, ^ - [2] sm I,. h + \()].l 

 Z'j = — 2 A-, cos Ui — 8 sin 1 " sin »j 

 J?^ = 4- 2 J^j sin »^1 — .s sin 1" cos u^ 



F., = ^ . 



a 



Die Bedingungsgleiehungen fiii- die BalinA-erbesserungen erhalten 

 dann die folgende Form: 



A^ .Jit, + B,. Jn,. + 0, . J I, -f D, . è- + i?i . 11 = Jp" 



A2 . Ju^ + B.^ . Jü.^ 4- C, . .dl, + i)., . I -I- £"2 . îy 4- .Fg . Ja = ^.s . 



Dabei sind /la, . ^/i, , Jl, ,!?,»/ in Graden, ^« aber in Bogen- 

 sekunden ausgedrückt. 



Ï 



