Theoretical restrictions on accretion disks

Details Theoretical restrictions on accretion disks Theoretical restrictions on accretion disks

Oct 1994

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1994ap%26ss.220...75l&link_type=abstract

Astrophysics and Space Science (ISSN 0004-640X), vol. 220, no. 1, p. 75-82

Computer Science

Numerical Analysis

2

Accretion Disks, Astronomical Models, Gravitation, Interstellar Gas, Interstellar Radiation, Nonlinear Equations, Numerical Analysis, Opacity, Absorption, Algorithms, Approximation, Electron Scattering, Limits (Mathematics)

Scientific paper

We construct a standard thin disk model taking into account the pressure from both gas and radiation, the opacity contributed by both electron scattering and absorption, and the gravity from both a central object and disk. A simple and powerful technique for solving the non-linear equations is presented. Through a numerical algorithm for the two equations for beta, gamma, xi, all the disk quantities are expressed as the analytical function of beta, gamma, xi. We also discuss the solutions in the limit cases as beta approaches 0, as beta approaches 1, and the parameter range of the lienar approximation. From the numerical solutions and limit analyses, we found that it is not necessary to include the self-gravity of the disk.

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