Astronomy and Astrophysics – Astrophysics
Scientific paper
Jul 2011
adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=2011a%26a...531a..10t&link_type=abstract
Astronomy & Astrophysics, Volume 531, id.A10
Astronomy and Astrophysics
Astrophysics
Galaxies: Distances And Redshifts, Distance Scale
Scientific paper
Aims: Öpik derived the distance to M 31 using its rotation, flux and angular size. We describe his method and its reliance on the mass-to-luminosity ratio M/L in an instructive way and consider it formally within a family of dynamical cosmic distance indicators. Methods: We consider ways of overcoming the M/d degeneracy in methods where together with the dynamical equation one uses an auxiliary relation M ~ dn to infer the distance d (with examples for n = 0,1,2,3). As a possible deep space analog to Öpik's method we assess hypothetical Eddington radiators (M/L = M/LEdd). Results: We describe ways of calibrating Öpik-related methods that do not use directly the angular size and consider their sensitivity to the used local H0. We find, for instance, that when the size-luminosity relation is calibrated using distance-independent reverberation mapping to infer the BLR size, the derived mass M ∝ LαΔλ2 does not depend on H0, whereas the Eddington ratio Lbol/LEdd does (as ∝ H0-2). This is illustrated using very luminous yet quiescent radio quasars at redshifts 0.5-1.6.
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