Forces balance in coordinate system of object’s existence 3D space

This work is the result of research and modeling of a set of forces that create the movement of the object with acceleration in a certain direction. The proposed analytical dependences determine the values of the coordinates of spatial locations of technological object, for example, when machining or in the medical diagnosis of pathological formations. An analytical model of maintaining stable spatial coordinates of the object, taking into account the peculiarities of the object's motion, is presented. Further research on the creation of analytical dependences that take into account the influence of external forces on the stability of the object’s spatial coordinates is proposed. This will increase the accuracy of determining the location of the object, which is very important in determining the positioning of the workpiece in the processing of parts, and in determining the spatial coordinates of pathology in the mass of a living organism.