  Spectropolarimetric reconstructions of the photospheric vector magnetic field
are intrinsically limited by the so-called 180$^\circ$ ambiguity in the
orientation of the transverse component. The successful launch and operation of
Solar Orbiter has made the removal of the 180$^\circ$ ambiguity possible using
solely observations obtained from two different vantage points. While the
exploitation of such a possibility is straightforward in principle, it is less
so in practice and it is therefore important to assess the accuracy and
limitations, as a function of both the satellites orbits and measurement
principles. In this work we present a stereoscopic disambiguation method (SDM)
and discuss a thorough testing of its accuracy in applications to modeled
active regions and quiet Sun observations. In a first series of tests, we
employ magnetograms extracted from three different numerical simulations as
test fields, and model observations of the magnetograms from different angles
and distances. In these more idealized tests, the SDM is proven to to reach a
100% disambiguation accuracy when applied to moderately-to-well resolved
fields. Even in the case of disambiguation of quiet Sun magnetograms with
significant under-resolved scale, the SDM provides an accuracy between 82% and
98% depending on the field strength. The accuracy of the SDM is found to be
mostly sensitive to the variable resolution of Solar Orbiter on its highly
elliptic orbit, as well as to the intrinsic scale of the observed field.
Finally, as a more realistic test, we consider magnetograms that are obtained
using a radiative transfer inversion code and the SOPHISM instrument simulator
applied to a 3D simulation of a pore, and present a preliminary discussion of
the effect of the viewing angle on the observed field.
