No. 8.] 



MINOR PLANETS— LEUSCHNER, GLANCY, LEVY. 



149 



Finally, by inspection of the arguments, considerable computation can be avoided if 



1 



JJo 



The function w — Wo is tabulated in Table LVI. Since it is unavoidably a function of w 

 itself, the determination of w for a given case must be made by successive trials, the first 

 approximation being y,_^ 





Logarithmic. 



'/o 



^o' 



Vo' 



vor 



Cos 



r 

 2r 

 sr 

 Ar 

 hr 

 ir 



-4r+20„+2Jo 

 -3r+2(?„+2J„ 

 -2r+20„+2J„ 



- r+2e„+2j„ 



200+2^0 



r+2(?„+2j„ 



2r+2eo+2J„ 

 3r+29„+2Jo 

 4r+2eo+2J„ 

 5r+2flo+2Jo 

 7r+20„+2Jo 



-5r4-2»„+ j„ 



-4r+20„+ J„ 



-3r+2eo+ j„ 

 -2r+25„+ J, 



- r+2ff„+ j„ 



2^0+ ^0 



r+2eo+ ^0 

 2r+20o+ J„ 

 3r+2fl„+ Jo 



4r+2(?„+ Jo 

 5r+20o+ Jo 

 7r+2flo+ Jo 



r 

 2r 

 sr 

 4r 



-4r+46»o+4J„ 

 -3r+4e„+4J„ 

 -2r+40o+4Jo 



- r+4eo+4Jo 



40„+4Jo 

 r+4flo+4J„ 

 2r+4^o+4^ 

 3r+4e„+4Jo 

 4r+4fl„+4Jo 

 5r+4i9o+4Jo 



-4r+4fl„+3Jo 

 -3r+4(»o+3Jo 

 -2r+4flo+3Jo 



- r+49o+3J„ 



4ff„+3J„ 

 r+4flo+3Jo 

 2r+4e„+3Jo 

 3r+4flo+3Jo 

 4r+4flo+3J„ 

 5r+4eo+3Jo 



Table LVI. 



4.360 



4.379 



4.664 



4. 605„ 



4.71 



4.666 



4. 516„ 



[5. 807„] 



[6. 2084] 



TO-l 



[5. 1966„] 

 4.766 

 4.446 

 4.412 

 4.484 



4. 161„ 

 3.19 

 3.52 



5. 1420 

 7. 6355„ 

 4. 856„ 



4. 92„ 



5. 5174„ 

 5. 4248„ 



4.582 

 4.674 

 4.99 

 5. 4623„ 

 [7. 1987] 

 5. 0056 

 4.38 

 5. 6251 

 5. 5812 



5.83 



[8. 0913] 



8, 5565„ 



m",7n' 



Unit- I radian. 



[5. 7767] 



6. 6599 



7. 1194 

 6. 8442 

 6. 5883 

 6. 3437 

 5.875 



6. 5090 

 6.169 



6. 8821„ 



7. 0986„ 

 6.359 



8. 2144 

 8. 0894„ 

 7. 8150„ 

 7. 6056„ 

 7. 4128„ 

 7. 2254„ 



[6. 8746„] 



6. 8776„ 

 6. 8815„ 

 6. 6271„ 



6. 7985 



7. 8314„ 



8. 2964 

 8. 0434 

 7.8458 

 7.6603 

 7. 4778 

 7. 1130 



7. 8102 

 7. 7520„ 

 7. 6172„ 

 7. 7135„ 



7. 1862 



7. 1804 

 6.817 



8. 4680„ 

 8. 8270„ 

 8.7850 



[8. 5144] 

 8. 3274 



8. 1627 

 8.0050 



7. 354„ 



7. 5708„ 



8.8838 



9. 2180 

 9. 2783„ 

 9. 0241„ 



8. 8480„ 

 8. 6916„ 

 8. 5401„ 



m'^, m' 



7. 3732„ 



7. 7572„ 

 7. 5468„ 

 7. 3450„ 

 7. 1490„ 

 6. 7632„ 



6. 6325„ 



7. 0658 

 7. 6078 

 7. 6970 



7. 0722„ 



8. 4125„ 

 8. 9548 

 8. 6561 

 8. 4650 



[8. 2958] 

 8. 1426 

 [7. 8484] 



7. 5604 

 7. 4536 



6. 7816 



7. 4732„ 



8. 1061 



9. 1086„ 

 8. 8316„ 

 8. 6564„ 

 8. 5030„ 

 8. 3.544„ 

 8. 0545„ 



8. 6250„ 

 8. 1242 



6. 6043„ 

 8. 2308 



7. 9072„ 

 7. 8679„ 



7. 456„ 



8. 8822 



9. 2073 

 9. 8236„ 

 9. 4910rt 

 9. 3006„ 

 9. 1494„ 

 9. 0105„ 



8. 1083 



8. 2084 



9.0548„ 



9. 5174„ 

 0.2833 

 9. 9635 

 9. 7850 

 9.6434 

 9. 5128 



7. 7492 



8. 0553 

 7. 9060 

 7. 7602 

 7. 6136 

 7. 3134 



7. 4746„ 

 7. 8698„ 

 7. 9975„ 

 7. 9394„ 



7. 4480 



9. 5668n 

 9. 2006„ 

 9.0111„ 



[8. 8561„] 



8. 7346„ 

 8. 4936„ 



7. 8425„ 

 7. 5238„ 

 7. 3174 

 7. 7966 



9. 6833 

 9. 3296 

 9. 1558 

 9. 0248 

 8. 9050 

 8. 6668 



