Pokrovskii

In present work we propose a mathematical model of horse fatigability and then using the model we derive motion equations with the help of calculus of variations. The equations are solved in general integral form and then numerically taking in account Yin & Yang boundary conditions at the point of entering (or leaving) the circle. The results are presented in graphic form and supplied with the discussion. Trajectories, obtained in this paper, are equally applicable not only for horses, but for other actively moving objects such as motorcycles, bicycles, race cars etc.