Theoretical aspects in the use of the inverse Tully-Fisher relation for distance determination

Astronomy and Astrophysics – Astrophysics

Scientific paper

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51

Distance, Galactic Clusters, Galaxies, Astronomical Photometry, Luminosity

Scientific paper

The formal basis of the inverse Tully-Fisher relation as a distance indicator is investigated. Formulas are derived which give the slope and zero-point of the inverse relation in terms of the'intrinsic' slope and zero-point, and of the dispersion (intrinsic plus observational) of M, or at constant log V(M). This is done for two luminosity functions, exponential and Gaussian. The systematic error in distance determination is investigated for: (1) clusters of galaxies or samples of galaxies otherwise (e.g., kinematically) known to be at same distances; and (2) field galaxies with photometrically measured distance modulus mu0 = constant. In both cases the limiting magnitude is an important factor.

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