The issue of designing the machine tractor movement trajectory is relevant today because its optimization significantly reduces fuel consumption and thus the transport costs. Proper choice of the energy machine and agricultural machinery with economy consumption of fuel and lubricants is also crucial. Recently, the problem has received scant attention in scientific literature. Therefore, this study analytically determines the trajectory of turning the tractor with front steering wheels and attempts to describe the curvilinear trajectory of a four-wheeled tractor using parametric equations in Cartesian coordinates. Its outcomes have a number of important implications for future practice; they are applicable e.g. in planning curved trajectories when cornering the tractor during field processing or in fuel and time consumption predictions for certain operations.
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