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The results of the study of the binary HIP 18856 and construction of itsorbit are presented. New observational data obtained at the BTA of SAO RAS in2007-2019. Earlier Cvetkovi'c et al. (2016) constructed orbit for this system.However, it is based on 6 measurements, which cover a small part of the orbit.The positional parameters of the Hipparcos (ESA 1997) astrometric satellite,published speckle interferometric data (Mason et al. 1999; Balega et al. 2006,2007; Horch et al. 2012, 2017) and new ones were used in this study. Based onthe new orbital parameters, the mass sum was calculated, and the physicalparameters of the components were found. The obtained orbital and fundamentalparameters were compared with the data from the study by Cvetkovi'c et al.(2016). The comparison shows that the new orbital solution is better than theold one, since it fits new observational data accurately. Also based on thequalitative grade performed by Worley & Heintz (1983) new orbit was classifiedas "reliable", which means data covering more than half of the orbit withsufficient quantities of residuals of measurements.

Research of the HIP 18856 binary system