Eigenoscillations of the differentially rotating Sun II. Generalization of the Laplace tidal equation

Astronomy and Astrophysics

Volumn 421, Issue 1, 2004, Pages 305-322

  Dzhalilov, N S ^a,b,c   Staude, J ^b  

^a PUSHKOV INSTITUTE OF TERRESTRIAL MAGNETISM   (Russian Federation)

^b ASTROPHYSIKALISCHES INSTITUT POTSDAM   (Germany)

^c INSTITUTE OF PHYSICS   (Azerbaijan)

Author keywords

Hydrodynamics; Stars: oscillations; Sun: activity; Sun: interior; Sun: oscillations; Sun: rotation

Indexed keywords

EIGENVALUES AND EIGENFUNCTIONS; FREQUENCIES; HYDRODYNAMICS; LAPLACE TRANSFORMS; OSCILLATIONS; POLYNOMIALS; ROTATION;

EIGENOSCILLATIONS; JACOBI POLYNOMIALS; SPHERICAL HARMONICS; VORTICITY MODES;

SUN;

EID: 3042572686     PISSN: 00046361     EISSN: None     Source Type: Journal    
DOI: 10.1051/0004-6361:20040121     Document Type: Article

References (44)

1. Bateman, H., & Erdélyi, A. 1953, Higher Transcendental Functions (New York: McGraw-Hill)
2. Berthomieu, G., Gonczi, G., Graff, P., Provost, J., & Rocca, A. 1978, A&A, 70, 597
3. Bildstein, L., Ushomirsky, G., & Cutler, C. 1996, ApJ, 460, 827
4. Cally, P. S. 2001, Sol. Phys., 199, 231
5. Charbonneau, P., Tomczyk, S., Schou, J., & Thompson, M. J. 1998, ApJ, 496, 1015
6. Charbonneu, P., Dikpati, M., & Gilman, P. 1999, ApJ, 526, 523
7. Clement, M. J. 1998, ApJ, 116, 57
8. Cox, J. P. 1980, Theory of Stellar Pulsation (Princeton, USA: Princeton Univ. Press)
9. Dzhalilov, N. S., Stande, J., & Arlt, K. 2000, A&A, 361, 1127
10. Dzhalilov, N. S., Staude, J., & Oraevsky, V. N. 2002, A&A, 384, 282
11. Dzhalilov, N. S., & Zhugzhda, Y. D. 1990, AZh, 67, 561
12. Dziembowsky, W., & Kosovichev, A. 1987, Acta Astron., 37, 341
13. Eckart, C. 1960, Hydrodynamics of Oceans and Atmospheres (Oxford, England: Pergamon Press)
14. Erdélyi, A. 1942, Duke Math. J., 9, 48
15. Gill, A. E. 1982, Atmosphere-Ocean Dynamics (England: Acad. Press, Univ. of Cambridge)
16. Gilman, P. A., & Fox, P. A. 1997, ApJ, 484, 439
17. Heun, K. 1889, Math. Annalen, 33, 161
18. Hollweg, J. W. 1987, ApJ, 312, 880
19. Ince, E. L. 1927, Ordinary Differential Equations (London)
20. Ionson, J. 1978, ApJ, 226, 650
21. Ionson, J. 1984, ApJ, 276, 357
22. Knobloch, E., & Spruit, H. C. 1982, A&A, 113, 261
23. Laplace, P. S. 1778-1779, Recherches sur Plusieurs Points du Système du Monde (extracts from Mémoires de L'Académie Royale des Sciences, 1775, 1776)
24. Lee, U., & Saio, H. 1986, MNRAS, 221, 365
25. Lee, U., & Saio, H. 1997, ApJ, 491, 839
26. Ledoux, P. 1951, ApJ, 114, 373
27. Levin, Y., & Ushomirsky, G. 2001, MNRAS, 322, 515
28. Lindzen, R. S., & Chapman, S. 1969, Space Sci. Rev., 10, 3
29. Longuet-Higgins, M. S. 1965, Proc. R. Soc. London A, 284, 40
30. Lou, Y. Q. 2000, ApJ, 540, 1102
31. Oraevsky, V. N., & Dzhalilov, N. S. 1997, Astron. Rep., 41, 91
32. Papaloizou, J., & Pringle, J. 1978, MNRAS, 182, 423
33. Pedlosky, J. 1982, Geophysical Fluid Dynamics (New York-Heidelberg- Berlin: Springer-Verlag)
34. Provost, J., Berthomieu, G., & Rocca, A. 1981, A&A, 94, 126
35. Rayleigh, J. W. S., Lord 1880, Proc. Lond. Math. Soc., 11, 57
36. Saio, H. 1982, ApJ, 256, 717
37. Shore, S. N. 1992, An Introduction to Astrophysical hydrodynamics (Acad. Press INC), 452
38. Smeyers, P., Craeynest, D., & Martens, L. 1981, Ap&SS, 78, 483
39. Stix, M., & Skaley, D. 1990, A&A, 232, 234
40. Townsend, R. H. D. 1997, MNRAS, 284, 839
41. Unno, W., Osaki, Y., Ando, H., Saio, H., & Shibahashi, H. 1989, Nonradial Oscillations of Stars (Univ. Tokio Press), 420
42. Watson, M. 1981, Geophys. Astrophys. Fluid Dyn., 16, 285
43. Whittaker, E. T., & Watson, G. N. 1927, A Cource of Modem Analysis (Cambridge) Wolff, C. L. 1998, ApJ, 502, 961
44. Whittaker, E. T., & Watson, G. N. 1927, A Cource of Modem Analysis (Cambridge) Wolff, C. L. 1998, ApJ, 502, 961