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Journal of Physical Studies 10(2), 139–147 (2006)
DOI: https://doi.org/10.30970/jps.10.139 THE COMPUTATION OF THE PROTOPLANET DISC CONFIGURATION VIA LANE-EMDEN-FOWLER EQUATIONM. V. Vavrukh, V. V. Chvak
Department for Astrophysics, Ivan Franko National University of Lviv, |
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We investigated the equilibrium distribution of the matter for the model of the rotating protoplanet gas-dusty disc using the Lane-Emden-Fowler (LEF) equation in the approach of the polytropic dependence between pressure and density. We obtained a new kind of solutions of the LEF equation that are similar to solitons. On this groundwork we constructed general, continuous and positive solutions of the LEF equation that described the distribution of the fragmented disc matter via Titius-Bode's law.
PACS number(s): 96.10.+i, 97.82.Jw