We present the results of our spectroscopic monitoring campaign of \zeta Oph , carried out at the University observatory Jena with the spectrograph FLECHAS between July 2015 and September 2016 . The main aim of the project is to determine the radial velocity of the star precisely , as a wide range of radial velocity measurements of \zeta Oph are given in the literature . Beside the proper motion and parallax , the radial velocity is an important input parameter for the calculation of the space motion of the star . \zeta Oph is considered to be a runaway star and potential former companion of the progenitor star of the pulsar PSR J1932+1059 , which both may have been located in a binary system and were then released during a supernova explosion about 1 Myr ago in the Upper Scorpius OB association . For the calculation that the pulsar and \zeta Oph could have been at the same place , a radial velocity of -9.0 km/s for \zeta Oph was used in the literature . By analysing the hydrogen and helium lines in 48 FLECHAS spectra , we determined the radial velocity of \zeta Oph to be 12.2 \pm 3.3 km/s and the projected rotational velocity to 432 \pm 16 km/s with no indication for variability .