A theoretical calibration of the planetary nebular cosmic distance scale

Astronomy and Astrophysics – Astrophysics

Scientific paper

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Astrometry, Magellanic Clouds, Metallicity, Planetary Nebulae, Red Shift, Stellar Temperature, Balmer Series, Galactic Bulge, H Beta Line, Hubble Constant, Optical Thickness, Stellar Evolution, Stellar Luminosity

Scientific paper

An extensive grid of optically thick model PN is computed in order to determine the extent to which the emission-line fluxes used in the planetary nebular distance scale are affected by the stellar effective temperature and the nebular and stellar metallicity. It is concluded that the nebular flux in the H-beta line is closely related to the luminosity of the central star, but that the more commonly used flux in the forbidden O III line at 5007 A can also be calibrated to give a reliable estimate of this quantity. A simple method is presented for determining the stellar effective temperature and the luminosity, and the nebular metallicity using only the Balmer lines and the lines of forbidden O III in the optical. As an absolute calibration of the planetary nebular distance scale, the excitation, extinction, and metallicity-corrected cutoff in the luminosity function are derived for the planetary nebulae in both the SMC and LMC, and the true distance modulus to the LMC is derived by a new hydrogen-reignition clump-fitting technique based on self-consistent helium-burning evolutionary models for the central stars.

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