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



TABLES OF (103) HERA. 



OSCULATING ELEMENTS. 



Epoch and osculation, 1895, Nov. 26.0, M. T. Berlin=1895.904,M. T. Berlin. 



o / // 



g„= 76 9 2= 76? 1506 



o,=185 15 25=185.2569) 



£2 = 136 12 23 = 136. 2063 Mean equinox and ecliptic 1895.0. 

 i= 5 24 39= 5. 4107 J 



cp = 4 34 6= 4.5682 



, ! = 798 // .6939 = 0. 22185943 



g a and n are mean elements. 



The elements are based on oppositions extending from 1868 to 1902 and on the perturbations of the first 

 order by Jupiter, as given on page 340. 



log a=0. 43175 

 log e=8. 90116 



AUXILIARY QUANTITIES. 



log 57. 2958e=0. 65928 

 log p =0. 42898 



log 



A 



1+e 



=9.96534 



NUMERICAL DESIGNATION OF THE ARGUMENTS FOR TABLES II-IV. 



1=9-9' 



■2=9-29' 



3=<7 



4=9-3<7' 



b=2g—3g' 



ll=3p — bg' 



12=4r/-:V 

 13=43-5(7' 

 14 = 5 f/ -6</ 

 15= -g-g' 



CONSTANTS TO BE SUBTRACTED FROM THE TABULATED PERTURBATIONS. 



c z =0?5356 c r =0.001447 ^=0.000653 



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



c-=0?5356 



c r =0. 001699 — (constant part of o log r -f- correction for difference between mean and 

 osculating values of semimajor axis) 



=0. 001699-(+133.6"-13.8 // ) sin 1" Mod. 



=0.001699-0.000252 

 (>=0. 001447 



c„=0. 000660-(constant part of dp) 



=0. 000660-0. 000007 

 c„=0. 000653 



