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Given a maximal $\mathbb{Q}$-torus in $SL(N,\mathbb{Q})$, its orbit fromidentity coset in $SL(N,\mathbb{R})/SL(N,\mathbb{Z})$ naturally carries apossibly infinite Haar measure. We classify all possible limit measures of itwhen translated by a sequence of elements from $SL(N,\mathbb{R})$. This is anatural extension of Shapira and Zheng's work where only $\mathbb{Q}$-splittori are considered.

Limiting distribution of translates of the orbit of a maximal $\mathbb{Q}$-torus from identity on $SL(N,\mathbb{R})/SL(N,\mathbb{Z})$