CELESTIAL MECHANICS: LEUSCHNER 



39 



were thereby reduced from 2.2 to a maximum of dbO.14. Ele- 

 ments F. 



Further correction of the perturbations by means of the new 

 mean motion produced larger residuals. The best representation as 

 above is obtained by the use of the adopted Elements F without 

 further correcting the perturbations. 



From the experience of the Recheninstitut and of Leuschner 

 with Leppig's elements, it is evident that before a satisfactory repre- 

 sentation for all oppositions, without making arbitrary corrections to 

 the elements, can be obtained, it will be necessary to derive an ac- 

 curate set of osculating elements by connecting a limited number of 

 oppositions with accurate determination of the perturbations. With 

 an accurate set of osculating elements the perturbations may then 

 be corrected, but further correction of the elements should be made 

 only after higher order perturbations and perturbations by planets 

 other than Jupiter shall have been considered. 



REFERENCES 



'A. N. 

 2 A. N. 

 8 A. N. 

 4 B. J. 



vol. 70, p. 79. 



vol. 70, p. 219. 



vol. 71, p. 47. 



1871. A. N. vol. 72, p. 331. 



8 A. N. vol. 139, p. 63. 

 *Tabellen zur Geschichte und Stat- 

 istik der Kleinen Planeten. 

 7 A. N. vol. 153, p. 225. 



TABLE 8. Elements (94) Aurora 



