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Yiannis Sakellaridis and Akshay Venkathesh have determined, when the group$G$ is split and the field $\F$ is of characteristic zero, the Plancherelformula for any spherical space $X$ for $G$ modulo the knowledge of thediscrete spectrum.  The starting point is the determination of good neighborhoods at infinity of$X/J$, where $J$ is a small compact open subgroup of $G$. These neighborhoodsare related to "boundary degenerations" of $X$. The proof of their existence ismade by using wonderful compactifications.  In this article we will show the existence of such neighborhoods assumingthat $\F$ is of characteristic different from 2 and $X$ is symmetric. Inparticular, one does not assume that $G$ is split. Our main tools are theCartan decomposition of Benoist and Oh, our previous definition of the constantterm and asymptotic properties of Eisenstein integrals due to Nathalie Lagier .  Once the existence of these neighborhoods at infinity of $X$ is established,the analog of the work of Sakellaridis and Venkatesh is straightforward andleads to the Plancherel formula for $X$.

Neighborhoods at infinity and the Plancherel formula for a reductive $p$-adic symmetric space