If $Z$ is a compact analytic space over $K$ of dimension $n$ and if $\varphi:Z\rightarrow{T^{\rm an}}$ is an analytic moment map, then ${\varphi_{\rm trop}}(Z)$ is a finite union of integral $\Gamma$-affine polytopes of dimension at most $n$. Moreover, ${\varphi_{\rm trop}}(\partial Z)$ is contained in a finite union of integral $\Gamma$-affine polytopes of dimension $\leq n-1$. If $Z$ is affinoid, then ${\varphi_{\rm trop}}(\partial Z)$ is equal to a finite union of such polytopes.