Astronomy and Astrophysics – Astrophysics
Scientific paper
2003-04-24
Mon.Not.Roy.Astron.Soc. 341 (2003) 164
Astronomy and Astrophysics
Astrophysics
5 pages, 3 figures, 1 table. Accepted for publication in MNRAS
Scientific paper
10.1046/j.1365-8711.2003.06399.x
We propose a novel mathematical method to construct an exact polytropic sphere in self-gravitating hydrostatic equilibrium, improving the non-linear Poisson equation. The central boundary condition for the present equation requires a ratio of gas pressure to total one at the centre, which is uniquely identified by the whole mass and molecular weight of the system. The special solution derived from the Lane-Emden equation can be reproduced. This scheme is now available for modelling the molecular cloud cores in interstellar media. The mass-radius relation of the first core is found to be consistent with the recent results of radiation hydrodynamic simulations.
Honda Mitsuru
Honda Yasuko. S.
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