Exact density-potential pairs from the holomorphic Coulomb field

Monthly Notices of the Royal Astronomical Society

Volumn 376, Issue 3, 2007, Pages 1162-1168

  Ciotti, Luca ^a   Giampieri, Giacomo ^b  

^a UNIVERSITY OF BOLOGNA   (Italy)

^b CALIFORNIA INSTITUTE OF TECHNOLOGY   (United States)

Author keywords

Celestial mechanics; Galaxies: kinematics and dynamics; Stellar dynamics

Indexed keywords

ASTROPHYSICS; GRAVITATION;

AXISYMMETRIC; CELESTIAL MECHANICS; COULOMB FIELD; GALAXIES: KINEMATICS AND DYNAMICS; GRAVITATIONAL FIELDS; POINT MASS; PROPERTY; SELF-GRAVITATING SYSTEMS; SPHERICAL SYMMETRY; STELLAR DYNAMICS;

ELECTROMAGNETIC FIELDS;

EID: 34147101092     PISSN: 00358711     EISSN: 13652966     Source Type: Journal    
DOI: 10.1111/j.1365-2966.2007.11497.x     Document Type: Article

References (58)

1. Appell P., 1887, Ann. Math. Lpz., 30, 155
2. Barnabé M., Ciotti L., Fraternali F., Sancisi R., 2005, in Braun R., ed., ASP Conf. Ser. Vol. 331, Extra-planar Gas. Astron. Soc. Pac., San Francisco, p. 231
3. Barnabé M., Fraternali F., Ciotti L., Sancisi R., 2006, A&A, 446, 61
4. Binney J., 1981, MNRAS, 196, 455
5. Binney J., Tremaine S., 1987, Galactic Dynamics. Princeton Univ. Press Princeton (BT)
6. Carter B., 1968, Commun. Math. Phys., 10, 280
7. Chandrasekhar S., 1969, Ellipsoidal Figures of Equilibrium. Yale Univ. Press, New Haven
8. Chandrasekhar S., 1976, Proc. R. Soc. Lond. A, 349, 571
9. Ciotti L., 2000, Lectures Notes on Stellar Dynamics. Scuola Normale Superiore, Pisa
10. Ciotti L., Bertin G., 2005, A&A, 437, 419
11. Ciotti L., Pellegrini S., 1996, MNRAS, 279, 240
12. Ciotti L., Bertin G., Londrillo P., 2004, in Bertin G., Farina D., Pozzoli R., eds, Plasmas in the Laboratory and in the Universe: New insights and New Challenges, AIP Conf. Proc., 703, 322
13. Ciotti L., Nipoti C., Londrillo P., 2006, ApJ, 640, 741
14. D'Afonseca L. A., Letelier P. S., Oliveira S. R., 2005, Class. Quant. Grav., 22, 3803
15. Dehenen W., 1993, MNRAS, 265, 250
16. de Zeeuw P. T., Pfenniger D., 1988, MNRAS, 235, 949
17. de Zeeuw P. T., Carollo C. M., 1996, MNRAS, 281, 1333
18. Evans N. W., 1994, MNRAS, 267, 333
19. Evans N. W., de Zeeuw P. T., 1992, MNRAS, 257, 152
20. Ferrers N. M., 1877, Quart. J. Pure Appl. Math., 14, 1
21. Gleiser R., Pullin J., 1989, Class. Quant. Grav., 6, 977
22. Hénon M., 1959, Ann. d'Astrophys., 22, 126
23. Hunter C., 1977, AJ, 82, 271
24. Jackson J. D., 1999, Classical Electrodynamics, 3rd edn. Wiley, New York
25. Jeffreys H., 1970, The Earth, 5th edn. Cambridge Univ. Press, Cambridge
26. Kaiser G., 2004, J. Phys. A: Math. Gen., 37, 8735
27. Kellogg O. D., 1953, Foundations of Potential Theory. Dover, New York
28. King I., 1972, ApJ, 174, L123
29. Kutuzov S. A., 1998, Astron. Lett., 24, 645
30. Kutuzov S. A., Osipkov L. P., 1980, AZh, 57, 28
31. Lanzoni B., Ciotti L., 2003, A&A, 404, 819
32. Lebovitz N. R., 1967, ARA&A, 5, 465
33. Lee J., Suto Y., 2003, ApJ, 585, 151
34. Lee J., Suto Y., 2004, ApJ, 601, 599
35. Letelier P. S., Oliveira S. R., 1987, J. Math. Phys., 28, 165
36. Letelier P. S., Oliveira S. R., 1998, Class. Quant. Grav., 15, 421
37. Lynden-Bell D., 1962, MNRAS, 123, 447
38. Lynden-Bell D., 2000, MNRAS, 312, 301
39. Lynden-Bell D., 2002, preprint (astro-ph/0207064)
40. Lynden-Bell D., 2004a, Phys. Rev. D, 70, 104021
41. Lynden-Bell D., 2004b, Phys. Rev. D, 70, 105017
42. Miyamoto M., Nagai R., 1975, PASJ, 27, 533
43. Muccione V., Ciotti L., 2003, in Contopoulos G., Voglis N., eds, Galaxies and Chaos. Lecture Notes on Physics, 626, 387
44. Muccione V., Ciotti L., 2004, A&A, 421, 583
45. Newman E. T., 1973, J. Math. Phys., 14, 102
46. Newman E. T., Janis A. I., 1965, J. Math. Phys., 6, 915
47. Newman E. T., Couch E. C., Chinnapared K., Exton A., Prakash A., Torrence R., 1965, J. Math. Phys., 6, 918
48. Page D. N., 1976, Phys. Rev. D, 14, 1509
49. Pfenniger D., 1984, A&A, 134, 373
50. Plummer H. C., 1911, MNRAS, 71, 460
51. Rosseland S., 1926, ApJ, 63, 342
52. Satoh C., 1980, PASJ, 32, 41
53. Tassoul J. L., 1978, Theory of Rotating Stars. Princeton Univ. Press, Princeton
54. Teukolsky S., 1973, ApJ, 185, 635
55. Toomre A., 1982, ApJ, 259, 535
56. Tremaine S., Richstone D. O., Byun Y. I., Dressler A., Faber S. H., Grillmair C., Kormendy J., Laver T. R., 1994, AJ, 107, 634
57. Waxman A. M., 1978, ApJ, 222, 61
58. Whittaker E. T., Watson G. N., 1950, A Course of Modern Analysis. Cambridge Univ. Press, Cambridge