  Our Galaxy hosts a very massive object at its centre, often referred to as
the supermassive black hole Sgr A*. Its gravitational tidal field is so intense
that can strip apart a binary star passing its vicinity and accelerate one of
the components of the binary as hypervelocity star (HVS) and grab the other
star as S-star. Taken into consideration that many binary star systems are
known to host planets, in this paper we aim to broaden the study of the close
interaction of binary stars and their planetary systems with Sgr A* massive
object. Results are obtained via a high precision $N-$body code including
post-Newtonian approximation. We quantify the likelihood of capture and
ejection of stars and planets after interaction with Sgr A*, finding that the
fraction of stars captured around it is about three times that of the planets
(~ 49.4% versus ~14.5%) and the fraction of hypervelocity planet (HVP) ejection
is about twice HVSs (~21.7% versus ~9.0%). The actual possibility of
observational counterparts deserves further investigation.
