deletions | additions       diff --git a/Three_sources_N62_1_N90_2_and__.tex b/Three_sources_N62_1_N90_2_and__.tex  index 46c1f6c..dd9acf8 100644  --- a/Three_sources_N62_1_N90_2_and__.tex  +++ b/Three_sources_N62_1_N90_2_and__.tex 
...
The line-profile of N117_3 is double-peaked with the blue-shifted peak stronger than the red-shifted peak. The line-profiles of N62_1 and N90_2 are single-peaked but with plateau on the red-shifted side. We interprete these profiles as evidence of infall. Myers et al. (1996) present a model of infall that predicts similar line profiles. They assume two clouds (near and far) falling toward a common center and estimate the the resulting line profiles accounting for optical depth effects as well as standard radial-dependencies of velocity and excitation temperature. By measuring five parameters, the Myers et al. (1996) model allows as estimate of the infall velocity. The measured parameters are: $\sigma$ (velocity dispersion of an optically thin tracer), T_{BD} (the blue-shifted excess emission), T_{RD} (the red-shifted emission), T_D (the plateau emission), v_{red} (the red-shifted peak emission velocity) and v_{blue} (the blue-shifted peak emission velocity). When all quantities can be measured, the infall velocity is estimated to be:  \begin{equation}  B_{mod} v_{in}  =B_0 \frac{h^2\nu^{3+\beta}}{c^3}\frac{1}{e^{\frac{h\nu}{kT}}-1} \end{equation}  \begin{equation}