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We discuss the reconstruction of low-energy nuclear reaction kinematics fromcharged-particle tracks in solenoidal spectrometers working in Active TargetTime Projection Chamber mode. In this operation mode, reaction products aretracked within the active gas medium of the Active Target with a threedimensional space point cloud. We have inferred the reaction kinematics fromthe point cloud using an algorithm based on a linear quadratic estimator(Kalman filter). The performance of this algorithm has been evaluated usingexperimental data from nuclear reactions measured with the Active Target TimeProjection Chamber (AT-TPC) detector.

Kinematics reconstruction in solenoidal spectrometers operated in active target mode