Abstract: Aiming at the deficiencies of the traditional features of navigation path about ships collision in the sea and the algorithm limitations for forecasting collision point, a new calculation method based on least square method of ships collision point is proposed. According to the former Global Position System(GPS) navigation data and the Mercator projection transformation, navigation track function is gained in Cartesian coordinates. The point of the intersection navigation track of two ships is identified as the possible collision point, when the ships speed and dangerous distance threshold are taken into account. The results of the numerical simulation analysis and practical application show that the method runs correctly, it is practical and can successfully avoid the limitations of the traditional method.
least squares method,
navigation path function fitting,
Mercator projection transformation,
Global Position System (GPS)