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A&A 373, 1032-1042 (2001)
DOI: 10.1051/0004-6361:20010664
An analysis of the observed radio emission from planetary nebulae
N. Siódmiak and R. TylendaN. Copernicus Astronomical Center, Department for Astrophysics, Rabianska 8, 87-100 Torun, Poland Torun Center for Astronomy, N. Copernicus University, Gagarina 11, 87-100 Torun, Poland
e-mail: tylenda@ncac.torun.pl
(Received 20 June 2000 / Accepted 12 April 2001 )
Abstract
We have analysed the radio fluxes for 264 planetary nebulae for which
reliable measurements of fluxes at 1.4 and 5 GHz, and of nebular diameters
are available. For many of the investigated nebulae, the optical thickness
is important, especially at 1.4 GHz. Simple models like the one specified
only by a single optical thickness or spherical, constant density shells do
not account satisfactorily for the observations. Also an r-2 density
distribution is ruled out. A reasonable representation of the observations
can be obtained by a two-component model having regions of two different values
of optical thickness. We show that the nebular diameters smaller than
are uncertain, particularly if they come from photographic plates
or Gaussian fitting to the radio profile. While determining the interstellar
extinction from an optical to radio flux ratio, caution should be paid regarding
optical thickness effects in the radio.
We have developed a method for estimating the value of self absorption.
At 1.4 GHz self absorption of the flux is usually important and can exceed
a factor of 10. At 5 GHz
self absorption is negligible for most of the objects, although in some cases
it can reach a factor of 2. The Galactic bulge planetary nebulae
when used to calibrate the Shklovsky method give a mean nebular mass of
. The statistical uncertainty of the Shklovsky distances
is smaller than a factor of 1.5.
Key words: planetary nebulae: general -- radio continuum: ISM -- ISM: dust, extinction
Offprint request: N. Siódmiak, alexan@ncac.torun.pl
© ESO 2001
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