The spectrum of the free-free radiation from extended envelopes

Astronomy and Astrophysics – Astronomy

Scientific paper

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Nebulae, Radiative Transfer, Radio Spectra, Radio Stars, Stellar Envelopes, Stellar Mass Ejection, Electron Energy, Galactic Radiation, Interstellar Radiation, Mass Transfer, Radio Sources (Astronomy)

Scientific paper

The continuous radio spectrum from a spherical envelope in which the electron density is inversely proportional to the square of the radius is derived by solving the equation of radiative transfer, and the solution is also obtained in the general case where the electron density is inversely proportional to a variable power of the radius. The first case is given more attention since this may well represent the radio emission from the envelopes of stars undergoing mass loss. The optically thin portion of the envelope is found to produce the major part of the emission, and the radio spectrum and source size are found to have different power-law relationships to the frequency. It is shown that a measurement of the flux density can provide a good estimate of the loss rate, and such an estimate is derived for P Cyg. It is concluded that nebulae without a constant density may have continuous spectra very different from those of uniform spheres and that the spectra of uniform spheres correspond to about six times the emission of a black body at a temperature equal to the electron temperature.

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