Pamela Freeman edited section_Analysis_subsection_GMC_properties__.tex  about 8 years ago

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\subsection{GMC properties}  \citet{Solomon_1987} examined GMCs in the Milky Way and described a few key relationships that characterize the properties of these clouds. We compared these properties for the M83 clouds  The M83 GMCs exhibit a similar relationship for velocity line width $\mathrm{\sigma}$ to radius $R$ as the Milky Way GMCs, which have a fit of $\sigma=(\dfrac{\pi^{1/2}R}{3.4})^{0.5}$ $\sigma=\dfrac{\pi^{1/2}R}{3.4}^{0.5}$  kms$^{-1}$ (Figure 2). This allows us to conclude the clouds are in virial equilibrium (\cite{Solomon_1987}). The virial mass $M_{vir}$ can then be calculated from the size and velocity dispersion, while the luminous mass $M_{lum}$ can be calculated from the luminosity and X$_\mathrm{CO}$ (\cite{Rosolowsky_2006}). These masses for M83 conform to a 1:1 ratio as expected (Figure 3). Finally, the luminous mass to radius relationships are also consistent with previous findings, with \citet{Solomon_1987} finding a fit of $M=540R^2 (M_\odot)$ (Figure 4).