174 



SECULAR VARIATIONS OF THE ELEMENTS OF 



We also have 



(j = 21 6' 26".8 



^=132 40 56.2 



2 =292 49 53.2 



0,=251 45 8.6 P= 



Equations (550-553) reduced to numbers become 

 ^=50".438239<+8915".6+ 5800".35 sin (/<+/3 ) 



358V.52 sin ' 

 -f- 5583".09 sin 

 -f-20438".28 sin 

 -j-13294".37 sin 

 4- 646".98 sin 



+ 834". 76 sin (/ 6 <+&) 



3217".97sin 



14' 18".() 



p t = 20 31 24.6 



#.= 133 56 10.H 



19 21.2 



Precession on 

 fixed Ecliptic 



(559) 

 of 1850. 





f .=23 IT 16'.57-2445".33 cos (/<+/? )+1499".78 cos 

 _2189".55 cos (/ 2<+/ 3 2 )-7950.46 cos 



5722".14 cos (/4<+&) 277".79 cos (.<+/. i fi xc d Ecliptic 

 _355".257cos(/ 6 <+/3 6 )+1158".01cos(/,<+/3 7 ) j of 1850. 



^'=50".438239<+8915".6+696".462 sin (ft+P ) 



552".463 sin 

 -f 2250".29 sin 

 -|-8708".52 sin 

 -flO".0558 sin 

 -j-57". 102 si 

 1910".92 sin 



Precession on 

 (561) 



apparent Ecliptic. 



f =23 IT 16".57 248".520 cos (/<+/? )+ 196".017 cos 

 -755".057 cos (/ 2 <-(-/3 2 )-2901".753 cos 



_ 3".644 cos 



)- 20".539cos(/ 6 <+/3 6 ) 

 -f 595".433 cos (/ 7 <+/3 T ) 



Obliquity of 



(562) 

 apparent 

 Ecliptic, 



If we take the differentials of equations (561) and (562), we shall get 

 '^'=50".438239+0".152998 cos (/<+) OM17438 cos 

 +0".360530 cos (/ 2 <-f &)+l".352281 cos 



+0".0024267 cos (/ 6 <+/3 6 )+0"- 13156 cos 



0".227011cos(/ 7 <+,3 7 ) 



(563) 



L == -f-0'.054595 sin 



+0*.120965 sin 

 4-0".0008794 sin 



0".041668 sin 



. 004732 sin (7 6 <+/3 6 ) 

 0".0707357sin(<7 7 <+/3 7 ) 



(564) 



