n TABLE OF CONTENTS. 



SECT. PAGE 



27. Concluded Normal Eight Ascensions and Declinations . . . .56 

 Systematic discrepancies still remaining between different authorities . 61 



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



CHAPTEE IV. 



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



NEPTUNE. 



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



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



31. Solution of the equations — Eesidual 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 



CHAPTEE V. 



TABLES OP NEPTUNE. 



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



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



38. Elementary precei^ts for the use of the tables . . . . . 82 



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



Tables .......... 88-110 



