Astronomy and Astrophysics – Astronomy
Scientific paper
Jun 1981
adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1981mnras.195..755g&link_type=abstract
Monthly Notices of the Royal Astronomical Society, vol. 195, June 1981, p. 755-763.
Astronomy and Astrophysics
Astronomy
19
Astronomical Models, Axisymmetric Flow, Numerical Integration, Stellar Mass Accretion, Stellar Rotation, Viscous Flow, Angular Momentum, Angular Velocity, Boundary Value Problems, Gravitational Fields, Kepler Laws, Radial Distribution, Radiation Pressure, Runge-Kutta Method
Scientific paper
A simplified, but fully nonspherical rotating accretion model is studied, with self-similarity as the major simplification. As a consequence, its relevance is confined to such a regime, that the gravitational field of the accreting body can be considered to be fully Newtonian, and can thus satisfy a power-law dependence on radial distance. The accreting material is taken to arrive from infinity with uniformly oriented angular momentum, which defines a symmetry axis for the problem. The quasi-Keplerian motion about the central body is subjected to a slight viscosity which drives the accretion. The nature and the uniqueness of the solution are discussed and the assumption of negligible velocity is found to be self-consistent. The shape of the system is investigated by performing numerical integration by a fourth-order Runge-Kutta scheme. An equation for the angular velocity is derived from simple dynamical considerations, and solved numerically.
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