Computational algorithm for the evaluation of inclinations of the level in the problems of the dynamics of basins

We develop a method for the evaluation of inclinations of the level, which enables one to find them with high accuracy. The reliability of this method is tested by comparing the numerical solutions for inclinations of the level with analytic expressions. It is shown that the system of coupled equations for inclinations of the level can be decomposed into two independent equations with sufficiently high accuracy.[PUBLICATION ABSTRACT]