Performing the full angular analysis of $\overline{B}_d \to \overline{K}^{*0}\mu^+\mu^-$ at LHCb

$\overline{B}_d \to \overline{K}^{*0}\mu^+\mu^-$ is a rare electroweak $b-->s$ penguin decay that is thought to have excellent sensitivity to physics beyond the Standard Model. In this note we present a general method for performing the full angular analysis of the decay which gives access to a set of observables which are very sensitive to non--Standard Model right--handed currents. The experimental sensitivity to these observables for 2, 10 and 100fb$^{-1}$ of LHCb data is presented. Where possible, these are compared to a previously investigated method based on angular projections.