Approximating proto-stellar structure without a computer (The proto-sun at 50 earth radii)

Astronomy and Astrophysics – Astronomy

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Pre-Main Sequence Stars, Star Formation, Stellar Models, Stellar Structure, Accretion Disks, Partial Differential Equations, Stellar Cores, Stellar Envelopes

Scientific paper

An analytical method that facilitates the description of main-sequence stellar structure is applied to protostars to model the core in formation. The model is based on Motz dimensionless variables which permit the stellar interior equations to be converted into a linearly approximate form. Equations for the mass, pressure, and temperature gradients of the protosun's hydrostatic core at 50 earth radii are given, and an approximation is presented for a one-solar-mass protostar that is contracting down to the main sequence. Comparisons are made between the analytical values and values from observations and computer models, and IR data confirm some analytically derived protostellar characteristics. It is concluded that the core of a protostar is composed of a spherical ball of gas in hydrostatic equilibrium where accretion very gradually becomes a factor.

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