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Yet, it has so far failed to detect circumbinary planets despite their relatively high occurrence rates. Here, we report velocimetric measurements of Kepler-16A, obtained with the SOPHIE spectrograph, at the Observatoire de Haute-Provence\u2019s 193cm telescope, collected during the BEBOP survey for circumbinary planets. Our measurements mark the first radial velocity detection of a circumbinary planet, independently determining the mass of Kepler-16\u00a0(AB)\u00a0b to be $0.313 \\pm 0.039\\, {\\rm M}_{\\rm Jup}$, a value in agreement with eclipse timing variations. Our observations demonstrate the capability to achieve photon-noise precision and accuracy on single-lined binaries, with our final precision reaching $\\rm 1.5~m\\, s^{-1}$ on the binary and planetary signals. Our analysis paves the way for more circumbinary planet detections using radial velocities which will increase the relatively small sample of currently known systems to statistically relevant numbers, using a method that also provides weaker detection biases. Our data also contain a long-term radial velocity signal, which we associate with the magnetic cycle of the primary star.<\/jats:p>","DOI":"10.1093\/mnras\/stab3712","type":"journal-article","created":{"date-parts":[[2021,12,22]],"date-time":"2021-12-22T04:14:24Z","timestamp":1640146464000},"page":"3561-3570","source":"Crossref","is-referenced-by-count":29,"title":["BEBOP III. 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