158 



PEOCEEDINGS OF THE AMERICAN ACADEMY 



TABLE IV. 



a Andromedag . 



y Pegasi . . . 



a Arietis . . . 

 a Ceti .... 



a Tauri . . . 



a Aurig£e . . . 



/3 Ononis . . . 



^ Tauri . . . 



a Orionis . . . 

 a Canis Majoris 

 a Canis Minoris 



/? Geminorum . 



c HydraB . . . 



a Leonis . . . 



/3 Leonis . . . 

 a Virginis 



a Bootis . . . 



d^ Librae . . . 



a Coronffi . . . 



a Serpentis . . 



a Scorpii . . . 



a Herculis . . 



a Ophiuchi . . 



a Lyrae . . . 

 y Aquilae . . 



a Aquilfe . . . 



/? AquiljB . . . 

 a'-' Capricorni 



a Cygni . . . 



a Aquarii . . . 

 a Piseis Australis 



a Pegasi . . . 



[r] 



Assumed 

 correction 



to 

 Newcomb. 



-\- 

 —10 

 -f- 

 + 

 + 

 —20 

 +10 

 +10 

 +10 

 +20 

 +10 

 + 

 + 

 + 

 + 

 + 

 +10 

 +10 

 + 

 +10 

 —10 

 + 

 +10 

 + 

 +10 

 —10 

 +10 

 +10 

 —10 

 +10 

 +20 

 + 



Derived 



correction to 



assumed 



R. A. 



+ 

 + 

 + 



+160 

 — 60 



+ 

 + 7 

 + 

 + 

 4 

 2 

 6 



— 1 



— 1 

 —10 



— 1 

 + 1 

 + 1 

 + 

 + 



+ 1 



— 3 



— 1 



+ 1 



— 3 

 +13 

 + 1 



— 3 



— 4 



— 6 

 +10 



— 3 



— 6 



— 1 



— 2 



— 6 

 + 3 



Derived 

 correction 



to 

 Newcomb. 



+ 



o 



+ 

 + 



+50 

 —51 





 

 + 4 

 —18 

 + 16 

 + 9 

 + 9 

 +10 

 + 9 

 + 1 

 + 1 

 + 

 + 

 + 1 

 7 

 9 

 1 

 7 

 3 

 1 

 7 



— 4 

 + 4 

 + 

 + 7 

 + 4 

 —11 

 + 8 

 +14 

 + 3 



Adopted 

 correction 



to 

 Newcomb. 



+ 

 + 

 + 

 + 

 + 

 + 

 + 



+135 

 — 36 



— 3 



— 6 



— 3 



— 3 

 + 1 

 —21 

 +13 

 + 6 

 + 6 

 + 7 

 + 6 



— 2 



— 2 



— 3 



— 3 



— 2 

 + 4 

 + 6 



— 2 

 + 4 





 2 

 4 

 7 

 1 

 3 

 4 

 + 1 

 —14 

 + 5 

 +11 

 + 



+ 



+ 



+ 



+79 

 —76 



The accidental errors of the standard catalogue, as indicated by modern 

 observations, are now sufficiently well known to enable tis to make a final 

 determination of all the periodic coeflacients. In this final discussion, the ap- 

 proximate corrections depending on the Declination, already found, will be 

 applied before the solution of the equations of the form 



m sin a + M cos a = r. 



The values of m and n should not differ much from those already found ; since 

 the errors depending on the Declination are largely eliminated. Thus, e.g., the 

 error for a Canis Majoris is counterbalanced by that for a Aurigae, and the error 

 for a Piseis Australis by that for a Cygni. 



The method of procedure will be the same as before. The residuals given 

 on page 143 and following, are first corrected by the values given in the last 

 column of Table IV. Including a Canis Majoris and a Piseis Australis, the fol- 

 lowing are the values of e, to be applied to the observations : — 



