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More detections with good mass measurements are needed. We present a new planet discovered during the BEBOP survey for circumbinary exoplanets using radial velocities. We use data taken with the SOPHIE spectrograph at the Observatoire de Haute-Provence, and perform a spectroscopic analysis to obtain high precision radial velocities. This planet is the first radial velocity detection of a previously unknown circumbinary system. The planet has a mass of 0.56 $\\rm M_{Jup}$ and orbits its host binary in 550\u2009d with an eccentricity of 0.25. Compared to most of the previously known circumbinary planets, BEBOP-3b has a long period (relative to the binary) and a high eccentricity. There also is a candidate outer planet with a $\\sim 1400$ d orbital period. We test the stability of potential further candidate signals inside the orbit of BEBOP-3b, and demonstrate that there are stable orbital solutions for planets near the instability region which is where the Kepler circumbinary planets are located. We also use our data to obtain independent dynamical masses for the two stellar components of the eclipsing binary using high resolution cross-correlation spectroscopy, and compare those results to a more traditional approach, finding them compatible with one another.<\/jats:p>","DOI":"10.1093\/mnras\/staf1184","type":"journal-article","created":{"date-parts":[[2025,7,18]],"date-time":"2025-07-18T14:30:58Z","timestamp":1752849058000},"page":"2801-2814","source":"Crossref","is-referenced-by-count":8,"title":["BEBOP VII. 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