124 



Or using a second operation, to serve as a check upon the computation ; and 

 also, to investigate the accurate logarithm of the planet's distance from the sun. 



Log. sine 36. 13. 46, 4 9^7716035 



Log. 259 1. 4132998 



Const, losr. 5. 3144251 



Log. 31573, 9 or 4,4993284 



o 



8.46.13,9 

 36. 13. 46, 4 mean anom. 



cs 9. 9066881 



774132998 



9. 3199379 

 o 



«77. 5626,5 



38 5813,2 



45 0. 0,3 



differing ^s from the truth. 



cs 38. 58. I'a, 2 9. 8906846 



2 



19 7S13692 

 19. 6989700 



Log. planet's dist. 0.0823992 



a 

 Example 2. The eUipse being evanescent, and the mean anonialyz: 1 50, re- 

 quired the excentric anomaly. 



Here the perihelion distance being evanescent, by the rule the, first approxi- 

 mated excentric anomaly^ j the mean anomaly, or 75'. 



The computation of C 



Log. sine 75 9. 98494 

 Const. Log. 5. 31442 



Log. 199230 5. 29936 



o . 



= 55. 20 

 75 



Log. m75 9. 89947 



19. 79894 

 Const, log. 19. 69897 



C. 



130. 20 

 150 



comp. mean anom. 



19. 40. = 1180 Error 



1. 90003 

 Log. 1180 3. 07188 

 Log. 937 2. 97191 



O / 



==15. 37 cor", ex. anom- 

 75 



2| 90. 37 Ist.cor'^.ex.anom. 



45. 18 



2d. Operation- 



