Abstract
The solution of a semi-linear dynamic system, which is the mathematical model of plane-parallel ship motion, is obtained using the perturbation method. It is shown that solution of linear dynamical systems depends on both harmonic functions and integral sine and cosine functions. The perturbation method is used to solve the plane-parallel motion of a ship from nonlinear equations that take into account the influence of static moment. The effect of this value on each of the velocity components is shown. The influence of the linear velocity component on the angular velocity is shown.. The resulting solutions can be used to automate the movement of a vessel along a constrained fairway using an automatic control system.
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