Modeling and Classifying X-Shaped Radio Galaxies

Mathematics – Probability

Scientific paper

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Scientific paper

While there are many explanations for the formation of the apparently small subset of radio galaxies that display an X-shaped morphology (XRGs), an important but often overlooked aspect of observing XRGs is the substantial problem encountered due to projection effects. A physically well-defined XRG will not appear X-shaped if viewed from certain angles. Thus, it is quite probable that many galaxies that have been observed and classified as having other shapes, in particular, some of the double-double radio sources, may in fact be XRGs. To more accurately determine the likelihood of an XRG appearing non-X-shaped, we developed a computer algorithm to model fiducial XRGs and develop probabilities of an observation leading to classification errors due to projection effects. The program randomly generates viewing angles for different XRG models, and these are then categorized as to whether or not they appear X-shaped to the observer. Knowing they are in fact X-shaped, however, provides a statistical probability for observing an XRG and yet misclassifying its shape. By repeating this process for many viewing angles and for a variety of XRG models, we are able to analyze the likelihood of actual XRGs appearing non-X-shaped.

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