  A harmonically trapped active Brownian particle exhibits two types of
positional distributions -- one has a single peak, the other has a single well
-- that signify steady-state dynamics with low and high activity, respectively.
Adding inertia to the translational motion preserves this strict single
peak/well classification of the densities but shifts the dividing boundary
between the states in the parameter space. We characterize this shift for the
dynamics in one spatial dimension using the static Fokker--Planck equation for
the full joint distribution of the state space. We derive local results
analytically with a perturbation method for a small rotational velocity and
then extend them globally with a numerical approach
