xxx CONTENTS. 



LECT. PAGE 



XIV. The Latitude and the Motion of the Node ... 64 



XV. Motion in an Orbit of Any Inclination .... 68 



XVI. Motion in an Orbit of Any Inclination (continued) . 72 



XVII. On Hill's method of treating the lunar theory . . . 77 



XVIII. On Hill's method of treating the lunar theory (continued) 81 



2. Development of a certain infinite determinant arising in relation 



to the motion of the node of the Moon's orbit ... 85 



3. Numerical developments in the lunar theory. . . . .104 



4. The secular acceleration of the Moon's mean motion . . .120 



5. Neison's lunar inequality ........ 130 



6. A method of solving the equation -j-^ + Qw = 0, ivhere 



a t~ 



Q = fjv + 2</, cos 2t + '2q, cos 4t + 2q, s cos 6t + 1 32 



7. Theory of Jupiter's Satellites . . . . . . .136 



8. Masses of Jupiter's Satellites consistent with Damoiseau's constants 188 



9. Repetition of some numerical calculations in the Mecanique 



Celeste relating to the theory of Jupiter's Satellites . . 192 



10. Perturbation of the orbit of the November meteors . . .194 



11. Theory of the figure of the Earth. . . 201 



12. Effect of the long inequality of Jupiter and Saturn upon the 



motions of Jupiter's Satellites 224 



13. Studies on Neivton's lunar theory . . 227 



14. Various errata ...... 233 



15. Addendum to paper on the secular acceleration of the Moon's 



mean motion, No. 4, p. 120 . . 237 



16. Laplace's theorems on the development of functions in series 239 



