  We study ``change of weights'' maps between loci of the stack of
$(\varphi,\Gamma)$-modules over the Robba ring with integral Hodge-Tate-Sen
weights. We show that in the $\mathrm{GL}_2(\mathbb{Q}_p)$ case these maps can
realize translations of $(\varphi,\Gamma)$-modules geometrically. The
motivation is to investigate translations of locally analytic representations
under the categorical $p$-adic Langlands correspondence.
