Solutions of the axi-symmetric Poisson equation from elliptic integrals II. Semi-analytical approach

Astronomy and Astrophysics

Volumn 434, Issue 1, 2005, Pages 17-23

  Pierens, A ^a   Hure J M ^a,b  

^a UNIVERSITÉ PARIS DIDEROT   (France)

^b UNIVERSITÉ PARIS DESCARTES   (France)

Author keywords

Gravitation; Methods: analytical; Methods: numerical

Indexed keywords

BOUNDARY CONDITIONS; ELECTROSTATICS; FINITE DIFFERENCE METHOD; GALAXIES; GRAVITATION; HYDRODYNAMICS; INTEGRATION; MATHEMATICAL MODELS; POISSON EQUATION;

METHODS: ANALYTICAL; METHODS: NUMERICAL; POINT MASS; RAZOR-THIN APPROACH;

ASTROPHYSICS;

EID: 17444389631     PISSN: 00046361     EISSN: None     Source Type: Journal    
DOI: 10.1051/0004-6361:20034196     Document Type: Article

References (13)

1. Abramowitz, M., & Stegun, I. A. 1964, in Handbook of mathematical functions with examples, graphs and mathematical tables, NBS, Sect. 17
2. Cannizzo, J. K. 1992, ApJ, 385, 94
3. Cannizzo, J. K., & Reiff, C. M. 1992, ApJ, 385, 87
4. D'Alessio, P., Canto, J., Calvet, N., & Lizano, S. 1998, ApJ, 500, 411
5. Frank, J., King, A., & Raine, D. 1992, in Accretion power in astrophysics, 2nd ed. (Cambridge Uni. Press)
6. Gradshteyn, I. S., & Ryzhik, I. M. 1994, in Table of integrals, series and products, ed. A. Jeffrey (Academic Press Inc.), 5th ed.
7. Huré, J.-M. 2000, A&A, 358, 378
8. Huré, J.-M. 2005, A&A, 434, 1 (Paper I)
9. Ibanez, S. M. H., & Sigalotti, L. D. 1984, ApJ, 285, 784
10. Lantian, Y., & Xiaoci, L. 1990, Ap&SS, 172, 293
11. Mineshige, S., & Umemura, M. 1997, ApJ, 480, 167
12. Paczynski, B. 1978, Acta Astron., 28, 91
13. Pringle, J. E. 1981, ARA&A, 19, 137