  The goal of quantum tracking control is to identify shaped fields to steer
observable expectation values along designated time-dependent tracks. The
fields are determined via an iteration-free procedure, which is based on
inverting the underlying dynamical equations governing the controlled
observables. In this article, we generalize the ideas in Phys. Rev. A 98,
043429 (2018) to the task of orienting symmetric top molecules in 3D. To this
end, we derive equations for the control fields capable of directly tracking
the expected value of the 3D dipole orientation vector along a desired path in
time. We show this framework can be utilized for tracking the orientation of
linear molecules as well, and present numerical illustrations of these
principles for symmetric top tracking control problems.
