2470 



Rotating Masses of Gravitating Liquids 



2470 



and flattening of homogeneous ellipsoids, 



and effects of expansion and contraction. 



Matthiessen, L. Z. Mth. Ps. 16 (1871) 



290-. 

 of fluid rotating in hollow spheroid about axis 



not that of symmetry. Dahlander, G. E. 



Ph. Mg. 21 (1861) 198-. 



gaseous mass under action of its own elas- 

 ticity and of centrifugal force, equation. 

 Luvini,G. Tor. Ac. Sc. At. 10 (1874-75) 

 508-. 



heterogeneous mass. Poincare, H. C. E. 

 106 (1888) 1571-. 



spheroid. Lipschitz, E. Crelle J. 63 



(1864) 289-. 



homogeneous ellipsoids. Ivory, J. [1837- 

 39] Phil. Trans. (1838) 57- ; (1839) 243-. 



(Ivory). Liouville, J. Liouv. J. Mth. 



4 (1839) 169-. 

 fluid, form of Laplace's second method 



of treating Legendre's problem. Purser, F. 



Mess. Mth. 6 (1877) 18-. 

 , Poincare's theory. Schwarzschild, 



K. [1897] Munch. Strnw. N. A. 3 (1898) 



231-. 

 and movements of seas. Poincare, H. Liouv. 



J. Mth. 2 (1896) 57-, 217-. 

 new form. Smith, Arch. Camb. Mth. J. 1 



(1839) 90- 

 under Newtonian forces, Liapounoff' s theorem. 



Poincare, H. C. B. 104 (1887) 622-. 

 possible, proof of Jacobi's theorem. Clausen, 



T. As. Nr. 18 (1841) 145-. 

 relative, of ellipsoid, Jacobi's theorem and 



Ivory's discussion of it. Todhunter, I. 



[1870] B. S. P. 19 (1871) 42-. 

 of spheroid, conditions. Siljestrom, P. A. B. 



A. Up. (1858) (pt. 2) 5. 



Experiments. Bezold, W. von. Berl. Ak. Sb. 



(1887) 261-. 



External potential of heterogeneous spheroid 

 with liquid envelope. Zeipel,H.von. Stockh. 

 Ak. Hndl. Bh. 24, Afd. 1 (1899) No. 4, 

 20pp. 



FIGURES OF EQUILIBRIUM. 



Jacobi, C. G. J. Pogg. A. 33 (1834) 229-. 

 Ivory, J. (vi Adds.) Ph. Mg. 13 (1838) 321-. 

 Dahlander, G. E. Ph. Mg. 20 (1860) 119-. 

 Thomson, (Sir) W. Edinb. B. S. P. 11 (1882) 



610-. 

 Darwin, G. it. [1887] Phil. Trans. (A) 178 



(1888) 379-. 



ellipsoidal. Meyer, C. O. Crelle J. 24 (1842) 



. Eamus, C. Kiob. Dn. Vd. Selsk. Afh. 12 



(1846) 111-. 

 , of homogeneous fluid. Liouville, J. C. B. 



16 (1843) 216- ; .Con. des Temps (1846) 85-; 



Liouv. J. Mth. 16 (1851) 241-. 

 , . Kostka, . Berl. Mb. (1870) 



116-. 

 , . Kriiger, S. Amst. Ak. Vs. 5 



(1897) 316-. 



ellipsoidal, of homogeneous fluid for given 

 energy, and rotation velocity. Stier, K. 

 Z. Mth. Ps. 25 (1880) 405-. 



of fluid cylinder. Kuntze, 0. Arch. Mth. Ps. 

 68 (1882) 273-. 



. Matthiessen, H. F. L. Z. Mth. Ps. 



28 (1883) 31-. 



of form nearly spherical rotating uni- 

 formly. Wantzel, L. Liouv. J. Mth. 4 

 (1839) 185-. 



, point in Laplace's theory. Pizzetti, P. 



Bm. B. Ac. Line. Bd. 5 (1896) (Sem. 1) 109-. 



heterogeneous planet. Darwin, G. H. [1883] 

 B. S. P. 36 (1884) 158-. 



homogeneous fluid. Ivory, J. [1823] Phil. 

 Trans. (1824) 85-. 



. Liouville, J. Par. EC. Pol. J. 23 cah. 



(1834) 289-. 

 Jacobi's. Darwin, G. H. [1886] B. S. P. 41 



(1887) 319-. 

 relative, for homogeneous fluid, ellipsoid as. 



Mathy, . Liouv. J. Mth. 4 (1898) 231-. 

 Boche's work. Tisserand, F. F. C. B. 96 



(1883) 1171-. 



Figures in superposed liquids. Bouquet de la 

 Grye, A. C. K. 83 (1876) 998-. 



(Bouquet de la Grye). Faye, 

 H.A.E. C. B. 83 (1876) 1000- . 



Fluid condition of Earth's interior and G. 



Darwin's theory of genesis of moon. Fisher, 



(Eev.) 0. Camb. Ph. S. P. 7 (1892) 335- ; 



8 (1895) 134-. 

 Form of ellipsoid. Tsinger, V. Y. [1869] (xn) 



Bee. Mth. (Moscou) 5 (1870) (Pt. 1) 414-. 

 fluid shell rotating in spheroid. Dahlander, 



G. E. Ph. Mg. 20 (1860) 426-. 



homogeneous fluid. Matthiessen, L. 

 D. Nf. Tbl. (*1869) 162-. 



ring rotating about central body. 



Giesen, A. Z. Mth. Ps. 22 (1877) 311-. 

 , permanent. Dienger, J. Arch. Mth. Ps. 



41 (1864) 187-. 

 Jacobi's ellipsoid. Kriiger, S. N. Arch. Wisk. 



3 (1898) 184-. 

 Kinetic theory of gravitating fluids. Houlle- 



vigue, L. J. de Ps. 4 (1895) 301-. 

 Law of gravity at surface of homogeneous 



fluid. Liouville, J. Liouv. J. Mth. 8 (1843) 



. Thomson, (Sir) W. 



Camb. Mth. J. 4 (1845) 191-. 



MOTION. 



of ellipsoid. Lejeune-Dirichlet,G. [1857] Gott. 



Ab. 8 (1858-59) (Mth.) 3-. 

 under its own attraction. Greenhill,A. G. 



[1879-80] Camb. Ph. S. P. 3 (1880) 289-; 4 



(1883) 4-. 

 . Basset, A. B. L. Mth. S. 



P. 17 (1887) 255-. 

 -. Hill, M. J. M. L. Mth. S. 



P. 23 (1892) 88-. 

 , Dedekind's theorem. Love, 



A. E. H. Ph. Mg. 25 (1888) 40-. 

 , heterogeneous. Betti, E. Bm. B. Ac. 



Line. T. 5 (1881) 201-. 



186 



