348 MEMOIRS NATIONAL ACADEMY OF SCIENCES, VOL. X, NO. 7. 



TABLES OF (119) ALTHAEA. 



OSCULATING ELEMENTS. 



Epoch and Osculation, 1894, Aug. 23.0. M. T. Berlin=1894.643, M. T. Berlin. 



o„=332 43 50=332?7306 



w=168 2 24 = 168.04001 



& = 203 54 3=203.9008 Mean equinox and ecliptic 1S94.0. 

 i= 5 43 54= 5.7317J 



cp= 4 36 2= 4.6006 



n=855."4057 = 0.23761270 



g and n are mean elements. 



The elements are based on oppositions extending from 1872 to 1900 and on the perturbations of the 

 first order by Jupiter, as given on page 350. 



AUXILIARY QUANTITIES. 



log 57. 2958 c=0. 66234 



log p =0.40909 •°yi. 



NUMERICAL DESIGNATION OF THE ARGUMENTS FOR TABLES II-V. 



log a=0.41189 

 log e=8. 90422 



log \ — -= 



9. 96509 



1=9 



2=<7-<?' 

 3=9-3/ 

 4=7— 2o' 



5=2*7— 3c' 

 6=29-0' 

 7=3o-2 3 ' 

 8=3ff-4o' 



9= 4o-3o' 

 10= -g' 

 n=-g-g> 



CONSTANTS TO BE SUBTRACTED FROM THE TABULATED PERTURBATIONS. 



c 2 =0?4072 c r =0. 001098 c fi =0. 001607 



Derivation of c z , c r , c„. (See also page 208.) 



r z =0?4072. 



e r =0. 001075— (constant part log r + correction for difference between mean and 

 osculating values of semimajor axis). 



=0. 001075-(27/'4-38."4) sin I" Mod. 



=0.001075+0.000023. 

 c r =0. 001098. 



c-=0. 001622— (constant part of 5/3). 

 =0. 001622-0. 000008. 

 =0.001614. 



