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We present a multi-wavelength study of the radio galaxy PKS J0334-3900 at thecentre of Abell 3135. The spectro-polarimetric radio observations are combinedwith spectroscopic optical and X-ray data to illustrate the use of Head-Tailradio galaxies to reveal properties of the intracluster medium. ATCAobservations at 1.4, 2.5, 4.6 & 8.6 GHz are presented with a detailed analysisof the morphology and spectral indices giving physical parameters to constrainthe dynamical history of the galaxy. Using these constraints we produce asimulation of PKS J0334-3900. We find that this Head-Tail morphology can beinduced via a combination of orbital motion due to a binary companion andrelative motion through the ICM. New Chandra images of A3135 are presented fromwhich we obtain a cluster electron density of n_(e,0) = (1.06 +/- 0.11 x10^(-3) cm^(-3), a global temperature of 2.4 ^(+0.51)_(-0.38) keV and a lowerlimit to the radio jet power of PKS J0334-3900 of 1.6 x 10^(44) erg/s. A newredshift analysis of the cluster from available spectroscopic data shows A3135to be comprised of galaxies with 0.058 < z < 0.066 and gives a new mean clusterredshift of 0.06228 +/- 0.00015. We also uncovered a background subgroupbetween 0.066 < z < 0.070. Stokes Q and U data of Abell 3135 were used toobtain rotation measure values along the line of sight to PKS J0334-3900. Usingour simulation we are able to infer the distance between the jets to be 154 +/-16 kpc, which when combined with the difference in rotation measure between thejets provides a novel new way to estimate the average magnetic field within acluster. A lower limit to the cluster B-field was calculated to be 0.09 +/-0.03 micro Gauss. We show observations of Head-Tail galaxies can be used toinfer information on the cluster environment, showing them to be an importantclass of objects in next generation all sky surveys.

Using head-tail galaxies to constrain the intracluster magnetic field: an in-depth study of PKS J0334-3900