On the derivation of the Tully-Fisher relations under different velocity-distance laws.

Astronomy and Astrophysics – Astrophysics

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Distance Scale, Galaxies: Distances And Redshifts

Scientific paper

The influence of the assumed velocity field model on the Tully-Fisher relation was studied using synthetic inhomogenities. Three models were allowed: the underlying Tolman-Bondi solution, the linearized model of Peebles and the Hubble law. Individual peculiar velocities superposed on the ideal velocity field were also allowed. The use of normalized distances in the derivation of the direct Tully-Fisher relation gives quite reliable results. If applying the triple-entry correction of Sandage to the derived distances the fastest rotators may reveal the backside infall signal in the Great Attractor region. The use of inverse Tully-Fisher relation derived using the Hubble law should also reveal the backside infall signal even if allowing rather large velocity dispersion. The galactic extinction may - however - make it difficult to detect strong enough backside infall signal.

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