The purpose of this paper is to develop a mathematical model based on the use of e-learning in the technical training of Yurchenko vault. This scientific approach has led to an ascertaining experimental study that has been conducted by means of the following research methods: 1. Analysis of the specialized scientific literature. 2. Computerized video method by using "Pinnacle Studio" capture and video processing program and "Kinovea" and "Physics ToolKit programs for biomechanical video analysis of sports technique. 3. The method of mathematical modeling. 4. The method of movement postural orientation. 4. The statistical method, by means of "KyPlot" computerized program. The research was conducted during the period 2012 - 2014 and was attended by 8 female athletes of 12 to 15 years old, members of the national junior team of Romania. In this respect there were analyzed biomechanically 22 vaults executed in three national competitions; the kinematic and dynamic characteristics results and the performances achieved in competitions were correlated statistically. Results. Highlighting the linear correlative significance of kinematic and dynamic characteristics indicators of the combined rotational and translational movement in conformity with the anthropometric, biomechanical and performance parameters of junior gymnasts aged 12 to 15, for developing the mathematical model of Yurchenko handspring vault in women's artistic gymnastics. Conclusions. The effective use of e-training in the mathematical modeling of the biomechanical and sport performances characteristics created the possibility to deepen the phasic preparation of sports technique and to process more efficiently the modern didactical programs of learning.

gymnastics, mathematical modeling, biomechanics, Yurchenko, performance