[EN]Despite the huge improvements guaranteed by future GRAVITY observations of
the S0-2 star, these will not be able to unveil the fundamental nature, whether black hole or
wormhole, of the central supermassive object. Nevertheless, observing stars orbiting closer
to the central gravitational source could allow to distinguish between the black hole and
wormhole nature of this object at more than 5 .
Firstly, we have used publicly available astrometric and spectroscopic measurements of
the S0-2 star to constrain the metric around the supermassive object without finding any
evidence either favouring or ruling out the wormhole nature. Secondly, we have designed a
mock catalogue of future observations of the S0-2 star mirroring the accuracy and precision
of GRAVITY. Afterwards, we firstly tested our methodology showing that our procedure
recovers the input model, and subsequently we demonstrated that the constraining power of
such a dataset is not enough to distinguish between black hole and wormhole. Finally, we
built some toy models representing stars orbiting much closer the central object than S0-2.
We used these toy models to investigate which are the ideal orbital features and observational
strategies to achieve our aim of unveiling the fundamental nature of the central supermassive
object, demonstrating that a star with a period of the order of 5 years and a pericentre
distance of 5AU could identify the nature of the central object at almost 5 accuracy.
