[ 436 ) 



bill llio resiiltiiiu' clirdnoiuc'ter-coi'i-ectioii : Febr. '28 8''.4 -f- -^fi'" l'^^-53 

 is soiiKMvlial luicofljiiji. 



After (liie coiLsideratioii of all these cii-cimistaiices, 1 liaxe entirely 

 rejeeted the obsei'wntioii of Febi*. 25: lo llic o oitsei-valioiis of 

 Maivli 3, liowexer, I lia\-e iihiinatelv assiiiiicd bill w eiulit. For l!ie 

 derivatives i-elati\elv lo llic clirojiouieler-eorreelioii for Mareli 3 are 

 verv small and tlieir mean xaliie is oidv -|- 0.04, while on the other 

 hand the ehronometei'-eorreelioji for March 3 ehanues oidy O-'iC). if the 

 time-determination of Febr. 28 is taken into aceonnl. 



This bein.t;- eslahlished. we had still lo lind iji w hal way llie 

 separate resnils jiad lo be combined. We had first to inxesliuate 

 wlietiier conslant ei-rors had to be feared foi- Ihe resnlts of the same 

 ni^ht. On the one liand 1 tiierefore derived mean residls for eacli 

 lind) l)y condiim'jiu' the sej»arale obserxations xvilh tiie accc|)le<l xx cMuiils 

 and from Ihe discoi'dances Ibnnd I compnied tIk' mean error of a 

 resnlt xvith xvei^uiil I. ()n iIk^ olher hand I deternnned the mean 

 error free from Ihe iidlnence of ihe conslani erroi' of the niuhl by 

 comi)ari]if>- Ihe sei)arate resnils xvilh Ihe mean i-esnil of Ihe niulil 

 for ihose Jii^uhls in xxhich nioi'e llian o obscrxalions hail been made. 



Iji llii> xxay I fonnd for xxeiu'ht i. i.e. for Ihe resnll of one obser- 

 xation xx ilhout special iincertaijity : 



'Folal mean error Fimb I rb o^^.t^o 



„ 11 ± 4^84 

 Partial „ ,, ± 5^.23 



Allhoniih ihe lasl Aalne is x'ery nncertain, there seems lo b(^ no 

 reason to assume in Ihe residls of the final rednclion errors ihal 

 remain conslant diiriiiu' ihe same ni,i2,hl. Hence iji dcdiicinu' Ihe final 

 resnlts xve need nol ask in xvhich iHii'ht theobserxalions have been made. 



In this xvay xve shall noxv derive for each liml» the mean value of 

 L L and also Ihose of the derivatives of the loniiilnde respec- 

 tix'ely to the olher xariable ipiantities. Let iis ])iit for the xaria- 

 lions of the latitude of the statiim, of the (•hronometer-correclion. of 

 the clironometer-lime of transit of the moon, of" its right ascension, of 

 its declination, of its parallax and of its semidiameler ; L (f . L fi , 

 h t, L I'., L d, L rr and L II and let L /', L <(', and Z_ d' he the cor- 

 respondinii- (|nanlilies 1"or Ihe star, 'riieii xve obtain: 



I LI. — — 1M)8 — 0.03 L iy, — 0.48 L 6 -\- 2<S.0.''> L I 



~ 28.53 L t ~- 29.05 L a -f 28.53 L n A 0.02 L iS 

 4 0.00 L (S' + O.SH L rr + 2.00 Z. // ... . Wri^hl f 0.0 



11 L L=: \- 0\70 4- O.OJ Lip — 0.71 L H Ar 28.51 L t 



— 2i».22 L f' — 20.51 Lit -{- 211.22 La ^ 0.0(i L d 



- O.OG L Ö' — 1.72 L.-T- 2.03 L Ji Wei-ht il 



