Approximate analytical solutions of the Lane-Emden equation for a self-gravitating isothermal gas sphere

Monthly Notices of the Royal Astronomical Society

Volumn 395, Issue 4, 2009, Pages 2288-2291

  Mirza, Babur M ^a  

^a QUAID I AZAM UNIVERSITY   (Pakistan)

Author keywords

Galaxies: clusters: general; Galaxies: general; Methods: analytical; Stars: general; Stars: interiors

Indexed keywords

GALAXIES; ISOTHERMS; STARS;

APPROXIMATE ANALYTICAL SOLUTIONS; APPROXIMATION TECHNIQUES; GALAXIES GENERAL; GALAXIES: CLUSTERS: GENERAL; LANE-EMDEN EQUATION; METHODS:ANALYTICAL; POLYTROPIC GAS; STARS: GENERAL; STARS: INTERIORS; SYMMETRICS;

ASTROPHYSICS;

EID: 66149179365     PISSN: 00358711     EISSN: 13652966     Source Type: Journal    
DOI: 10.1111/j.1365-2966.2009.14697.x     Document Type: Article

References (11)

1. Binny J., Tremaine S., 1987, Galactic Dynamics. Princeton Univ. Press Princeton, Princeton, NJ
2. Goenner H., 2001, Gen. Relativ. Gravit., 33, 833
3. Honda M., Honda Y. S., 2003, MNRAS, 341, 164
4. Horedt G. P., 2004, Polytropes. Kluwer Academic Publishers, New York
5. Hunter C., 2001, MNRAS, 328, 839
6. McKee C. F., Holliman J. H., 1999, ApJ, 522, 313
7. Natarajan P., Lynden-Bell D., 1997, MNRAS, 286, 268
8. Nouh M. I., 2004, New Astron., 9, 467
9. Oldham K. B., Spanier J., 1974, The Fractional Calculus. Dover Publications. New York
10. Rose W. K., 1998, Advanced Stellar Astrophysics. Cambridge Univ. Press, Cambridge
11. Roxburgh I. R., Stockman L. M., 1999, MNRAS, 303, 46