The article performs the issues of positioning and ensuring the movement of a geophysical vessel along a routing line, applied aspects of marine geophysical technologies according to the technical characteristics of a vessel, allowing to carry out the operation complex on the shelf zone of the World Ocean. The points of balancing modes and stability region of the controlled object without stalling vessel in the circulation of the vertical plane relative to center-line plane are calculated for the realization of the parameters of the vessel motion. We determine a linearized model of a controlled device and a table of the numerical values of the coefficients determined in the vicinity of various balancing modes. In addition, the roots of a characteristic equation for the pair of towed objects directly from an underground garage and a vehicle have been established.
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