On the implications of the nTH-order virial equations for heterogeneous and concentric jacobi, dedekind, and riemann ellipsoids

Astrophysical Journal

Volumn 460, Issue 2 PART I, 1996, Pages 762-776

  Filippi, Simonetta ^a   Ruffini, Remo ^b   Sepulveda, Alonso ^a,b  

^a ICRANET   (Italy)

^b UNIVERSIDAD DE ANTIOQUIA   (Colombia)

Author keywords

Stars: Interiors; Stars: Rotation

Indexed keywords

EID: 21344436334     PISSN: 0004637X     EISSN: 15384357     Source Type: Journal    
DOI: 10.1086/177008     Document Type: Article

References (30)

1. Binney, J. J., Davies, R. L., & Illingworth, G. D. 1990, ApJ, 361, 78
2. Binney, J. J., & Tremaine, S. D. 1987, Galactic Dynamics (Princeton: Princeton Univ. Press)
3. Busarello, G., Filippi, S., Ruffini, R. 1988, A&A, 197, 91 (Paper III)
4. _. 1989, A&A, 213, 80 (Paper V)
5. _. 1990, A&A, 227, 30 (Paper VI)
6. Chambat, F. 1994, A&A, 292, 76
7. Chandrasekhar, S. 1987 Ellipsoidal Figures of Equilibrium (2d ed.; New York: Dover)
8. Cinzano, P., & van der Marel, R. P., 1994, MNRAS, 270, 325
9. Dedekind, R. 1860, J. Reine Angew. Math., 58, 217
10. Di Nunzio, M., & Ruffini, R., 1995, Phys. Rev., submitted
11. Dirichlet, G. 1860, J. Reine Angew. Math., 58, 181
12. Dive, P. 1930, Rotations Internes des Astres Fluides (Paris: Blanchard)
13. Filippi, S., Ruffini, R., & Sepulveda, A. 1990, A&A, 231, 30 (Paper VII)
14. _. 1991, A&A, 246, 59 (Paper VIII)
15. Fridman, A. M., & Polyachenko, V. L. 1984, Physics of Gravitating Systems I (New York: Springer-Verlag)
16. Goldstein, H. 1980, Classical Mechanics (New York: Addison-Wesley)
17. Hamy, M. 1887, Etude sur 1a Figure des Corps Celestes (thesis, Ann. Obs. Paris 1889, Mémoires, 19)
18. Ipser, J. R., & Managan, R. A. 1981, ApJ, 250, 362
19. Jacobi, C. G. J. 1834, Poggendorff Ann. Phy. Chem., 33, 229
20. Lai, D., Rasio, F. A., & Shapiro, S. L. 1993, ApJS, 88, 205
21. Lebovitz, N. R. 1979, Annu. Rev. Fluid Mech., 11, 229
22. Nelson, R. P., & Papaloizou, J. C. B. 1993, MNRAS, 265, 905
23. Pacheco, F., Pucacco, G., & Ruffini, R. 1986a, A&A, 161, 39 (Paper I)
24. _. 1986b, Proc. 4th Marcel Grossmann Meeting, ed. R. Ruffini, et al. (Amsterdam: North Holland), 1511 (Paper II)
25. Pacheco, F., Pucacco, G., Ruffini, R., & Sebastiani, G. 1989, A&A, 210, 42 (Paper IV)
26. Riemann, B. 1860, Abh. K. Ges. Wiss. Göttingen, 9, 3
27. Todhunter, I. 1873, History of the Mathematical Theories of Attraction and the Figure of the Earth (London: Constable)
28. Vandervoort, P. O., & Welty, D. E. 1981, ApJ, 248, 504
29. _. 1982, ApJ, 263, 654
30. Wiegandt, R. 1980, A&A, 82, 177