Computer Science
Scientific paper
Jan 1992
adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1992phdt........23c&link_type=abstract
Ph.D. Thesis Colorado Univ., Boulder.
Computer Science
Accretion Disks, Line Spectra, Linearization, Poynting-Robertson Effect, Sobolev Space, Absorption Cross Sections, Equations Of Motion, Radial Velocity, Radiation Distribution
Scientific paper
A combination of the Sobolev method and a linearization method is used to calculate line profiles from accretion discs which have outer parts optically thin in the continuum, but optically thick in the lines. The Sobolev method is used to find the mean intensity in the lines. The level populations are assumed to be in statistical equilibrium, and it is only the equation governing this equilibrium that is linearized. The temperature in the outer parts is specified as a function of radius. The computed line profiles are compared with those observed from the dwarf nova U Geminorum. The special relativistic equations of motion for a particle and the general relativistic equations of motion for a fluid in an arbitrary radiation field are formulated. The Poynting-Robertson forces are manifested in some of the velocity dependent terms so obtained. Newtonian approximations to the equations of motion are solved for a particle in orbit about a spherically symmetric source of radiation, where the angular size of the source as seen from the orbit is arbitrary. Situations are considered in which the absorption cross section of the particle is independent of frequency as well as when the particle is an atom absorbing in a spectral line. In both instances it is found that the finite size of the source of radiation leads to Poynting-Robertson drags greater than those caused by a point source of the same luminosity. The Newtonian equations are solved for a particle moving radially outward from the source. Limits for the velocities of high speed particles due to Poynting-Robertson drags are obtained. The fluid equations are discussed briefly in their relation to theoretical treatments of relativistic jets and accretion discs.
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