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The Σ – D relation for Galactic planetary nebulae: Application of orthogonal fitting procedure

Published online by Cambridge University Press:  30 August 2012

Branislav Vukotić  and
Dejan Urošević
Branislav Vukotić
Affiliation:
Astronomical observatory, Volgina 7, 11060, Belgrade, Serbia email: bvukotic@aob.rs
Dejan Urošević
Affiliation:
Dept. of Astronomy, University of Belgrade, Studentski trg 16, 11000 Belgrade, Serbia email: dejanu@matf.bg.ac.rs
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Abstract

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We estimate the parameters of the radio surface brightness to diameter (Σ – D) relation for the sample of Galactic planetary nebulae (PNe). The bootstrap re-sampling and orthogonal offsets fitting procedure are applied. The orthogonal fitting procedure provides that the parameter values of D – Σ and Σ – D fits are invariant within the estimated uncertainties. We discuss the probability statistics of the fitted (log Σ = log A - β log D) relation and the resulting fit parameters which is indicative for PN distance determination.

Keywords

planetary nebulae: generalmethods: numericalmethods: statistical
Type
Contributed Papers
Information
Proceedings of the International Astronomical Union , Volume 7 , Symposium S283: Planetary Nebulae: An Eye to the Future , July 2011 , pp. 522 - 523
Copyright
Copyright © International Astronomical Union 2012

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