THE ORBITS OF THE EIGHT PRINCIPAL PLANETS. 97 



r7 2 =17".014373+0".075742 l a+3''.72988^'+4".06318/+0".006792 1 a"'+8".0455a' r 



+0".36832 i(< r +0".00628^ r '-f0".002lV"; 

 &=335° 11' 31''+4S3y— 336590y-239676"«''-27647"a'"+753490y r +7692y 



+802>"+294y"; 

 iV r 3 =+0.0014673+1200 1 a+61784a'+47930 ft "+11002 i a"'— 130700/"— 3160/ 



— 420/'— 90/"; 

 ^'=—0.0112171— 9383^—345400^'— 339820/— 83919/'+928300/ r + 20560/ 



+3020/'+720/"; 

 iV r 2 '<=+0.0113105+6512 i a+410140/+196140/+77329/'—842300/ r — 16240/ 



—2960/'— 700/"; 

 iV r 2 "'=+0.0225719+49397 ( «+3069020 1 a'+1992300/+155278a'"— 3928400/ r 



— 138640.7 '— 7660/'+1980/"; 

 ^=—0.0000011 — 1.2^—77^'— 43.4/— 18.1/+114' r +10.8/— 1.0/'— 2.7/"; 

 iV 2 r =— 0.0000064— 10.4a— 658,a'— 447.6/— 110.1/'+930/ r +62/+4.2/' 



-13.9/"; 

 j\r/'=+0.0000004— 0.6u+38;/+25.4a"+6.7/— 58/ r +0.0/— 0.2/'+1.0/"; 

 iV 2 "=+0.0000000.3+0.0 l «+2.8 l! /+1.9/+0.5 j( /"— 4.2u /r +0.0 l a r — 0.1 ;(t r/ +0.1 r " > 



#3=17".784456+0".034383^+2'\31316/+2''.93202/+0.231407/+12".4768/ r 



+0".53576/+0".00892/'+0".003()6/"; 

 /i 3 = 1 37° 6' 36". 5 — 4099>— 1 1 3430>' — 73350y"+352"/'+ 1 43360"/ r +3904"a r 



-176"/'+88"/"; 

 ^ 3 =+0.0015934+1401a+63100 / u'+48280 1 a"+8277/'— 129900/ r — 4560/ 



_220/'— 60/"; 

 ^'=—0.0131892— 11200a— 351120a'— 410400/— 73086/'+945000/ r 



+31 800 fi ' + 1 740 /t "+500/" ; 

 j\y=+0.0162641+8420 1 a+440180 i t/+185420/+95264/'— 880700/" 



—26920/— 1940"— 540/"; 

 N 3 '"=— 0.0790650+46942 1 a+3069920 i a'+1932860/+161058/'— 3813200//"' 



— 209680/+3740/'+670/"; 

 JVy=:+0.0000011-1.3a-80.4/'-63.47"+3.2/'+128.9/ r -5.4a r +2.2/' 



+0.5/"; 

 JV^ =:+0.0000110-10.3a-662.2a'-413/+71/'+823' r -207/-4.8/' 



— l.l(t m i 

 iy 3 r =-0.0000006+0.67+38.67'+24.9 i a"-3.8a m -42.V r -4.87 r +0.2a" 



-0.1/"; 

 i\ 7 3 r "=— 0.0000000.5+0.0^+2.8a'+1.8/— 0.3/'— 3.3/ r — 0.3/+0.1/'+0.0/". 



13 January, 1872. 



