The total LW magnitude of the companion(s), M_LW,tot, is shown as a function of the effective projected separation from the compact red component, d_eff (defined such that ﹩{L}_{{\rm{LW}},{\rm{tot}}}/{d}_{{\rm{eff}}}^{2}={\sum }_{i}{L}_{{\rm{LW}},i}/{d}_{i}^{2}﹩ when an LRD has multiple companions). Diagonal lines indicate constant LW radiation intensity, J_21,LW, incident on the red component. Systems toward the upper left correspond to brighter companions at smaller separations and therefore higher LW intensities. The red dashed line marks a commonly adopted critical threshold for molecular hydrogen dissociation (J_crit = 10³), above which fragmentation is expected to be strongly suppressed. Shaded regions illustrate increasing likelihood for collapse in an LW-regulated regime.