i TABLE OF CONTENTS. 



SEPT. PAGE 



27. Concluded Normal Eight Ascensions and Declinations . . . 5(J 



Systematic discrepancies still remaining between different authorities . 61 



. 28. Longitudes and latitudes compared with the theory . . . .62 



CHAPTER IV. 



RESULTS OP THE COMPARISON OF THE THEORETICAL WITH THE OBSERVED POSITIONS OP 



NEPTUNE. 



29. Formulas for corrections of the elements ..... 65 



30. Equations of condition Method of treating them . ... . .67 



31. Solution of the equations Residual errors ..... 70 



32. Impossibility of correcting the mass of Uranus . . . . .72 



33. Impossibility of yet detecting an extra-Neptunian planet Almost perfect accord- 



ance of theory with observation during the nineteen years of observations . 72 



34. Position of the plane of the orbit ...... 73 



35. Concluded corrections and final values of the elements of Neptune . . 74 



CHAPTER V. 



TABLES OP NEPTUNE. 



36. Fundamental theory on which the tables are founded ... 76 



37. Data given in the several tables ...... 77 



38. Elementary precepts for the use of the tables ..... 82 



39. Examples of the use of the tables ....... 84 



Tables 88-110 



