Mathematics
Scientific paper
Sep 1984
adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1984mnras.210...43z&link_type=abstract
Monthly Notices of the Royal Astronomical Society (ISSN 0035-8711), vol. 210, Sept. 1, 1984, p. 43-56.
Mathematics
98
Mass Distribution, Molecular Clouds, Star Formation, Statistical Distributions, Stellar Models, Angular Momentum, Binary Stars, Dwarf Stars, Functions (Mathematics), Interstellar Matter, Orbital Elements
Scientific paper
The dispersion and the shape of the observed Initial Mass Function (IMF) of field stars at birth is explained in terms of a theoretical model in which star formation is due to a hierarchical cloud fragmentation process, much like a family tree with a number of levels (less than about 5). The model is a Monte Carlo version of Bodenheimer's (1978) scheme of hierarchical fragmentation, which is based on successive stages of ring formation and ring fragmentation of a rotating interstellar cloud. This mechanism (or a similar one) is very appealing, because it is capable of solving not only the mass fragmentation problem but also the angular momentum problem in star formation. The predictive power of the model includes the black dwarf IMF, and, furthermore, the frequency distribution of the orbital periods of binary stars.
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