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IJUP08 - Universidade do Porto

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The dynamical state of galaxies: from 2D to 6D<br />

P. Mondim 1 , J. Brinchmann 2<br />

1 Department of Applied Mathematics, Faculty of Science, University of <strong>Porto</strong>, Portugal.<br />

Centre for Astrophysics of University of <strong>Porto</strong>, Portugal<br />

2 Leiden University, The Netherlands.<br />

Centre for Astrophysics of University of <strong>Porto</strong>, Portugal<br />

The goal of this work is to investigate the relationship between the dynamical state of a<br />

galaxy (which belongs to a 6D phase-space, and can only be known with information<br />

regarding the velocity and position of every galaxy's particles) and the information<br />

available from observations: it's 2D velocity field.<br />

This goal is pursued by numerically calculating the Tensor Virial Theorem [1] quantities to<br />

study the phase-space structure of galaxies mergers' simulations and contrasting them with<br />

synthetic observations of those galaxies.<br />

An effective way of calculating the kinetic energy associated with movement that can be<br />

regarded as “ordered” and the kinetic energy associated with movement that can be<br />

regarded as “ran<strong>do</strong>m” has been devised. Using this tool to study the phase-space structure<br />

of merging galaxies, we were able to verify how ordered- and ran<strong>do</strong>m-motion evolve<br />

during the interaction of the galaxies. The ratio of ordered-motion to ran<strong>do</strong>m-motion of the<br />

system's particles has been found to peak early after the beginning of the interaction,<br />

presenting a strong decrease thereafter and, finally, reaching a steady level, lower than the<br />

initial value. Galaxies of different morphological types have been found to provide<br />

somewhat different evolutions for the quantities that trace the ordered- and ran<strong>do</strong>mmotion.<br />

Work is now underway to create synthetic observations of those same mergers, in order to<br />

make possible a comparison of the “observed” and “real” physical quantities. This may<br />

lead, ultimately, to the establishment of innovative methods of non-parametric<br />

classification of velocity fields. Such methods would be specially valuable for highredshift<br />

galaxies, for which the known methods fail for requiring high signal-to-noise<br />

ratios.<br />

Thus, so far, the main conclusions for the current work are the establishment of typical<br />

evolutions for the ordered- and ran<strong>do</strong>m-motion of a galaxy's particles during a merger<br />

event and the establishment of different trends for the evolution of those quantities in<br />

galaxies of different morphological types. Further work is still underway.<br />

References:<br />

[1] Binney, J. and Tremaine, S. (1994), Galactic Dynamics, Princeton University Press.<br />

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