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Anisotropic transverse flow is one of the most important observables in thestudy of ultra-relativistic nucleus-nucleus collisions. Detector acceptancenon-uniformity in the transverse plane introduces substantial bias in the flowanalysis dictating the need for specific corrections. The results of flowanalysis in Pb-Pb collisions at the beam energy of 40$A$~GeV recorded with thefixed target experiment NA49 at the CERN SPS are presented. The three-subeventtechnique is used for the differential measurements of the directed andelliptic flow. Corrections for the detector acceptance anisotropy in thetransverse plane are applied using an extension of the Qn-Corrections Frameworkdeveloped originally for the ALICE experiment at the LHC. The results arecompared with those previously published by the STAR at RHIC and the NA49 atCERN SPS collaborations. In the future, the developed procedure will be usedfor the analysis of the new Pb-Pb data collected by the NA61/SHINE experimentat the CERN SPS.

Analysis of anisotropic transverse flow in Pb-Pb collisions at 40A GeV in the NA49 experiment