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On predicting boat drift for search and rescue
Authors:Zao Ni  Zhiping Qiu
Institution:a Institute of Solid Mechanics, Beijing University of Aeronautics and Astronautics, Beijing 100083, PR China
b Department of Ocean and Mechanical Engineering and Department of Mathematics, Florida Atlantic University, Boca Raton, FL 33432, USA
Abstract:A theoretical model for predicting boat drift for search and rescue missions is presented in this work. The drift model is based on the law of physics which govern the motion of a floating body in a given wind and surface current field. In terms of the empirical aerodynamics force coefficients of the boat or any other drifting object, external wind field, and current field, the drift velocity of the boat being searched for can be obtained. The uncertainty of the characteristics of the boat’s drift is evaluated by interval analysis of the uncertainties of the characteristics of the drifting boat and external forcing fields. The search area expansion and the source of uncertainty are systematically evaluated. The current statistical model-based operational definitions of leeway drift, leeway rate, leeway angle, divergence angle, leeway divergence, downwind component of leeway, and crosswind component of leeway are clarified in light of the presented theoretical model. The divergence angle and leeway divergence are evaluated through the interval analysis of the uncertainty of the parameters involved.
Keywords:Search and rescue  Drift  Divergence  Uncertainty  Interval analysis  Nonlinear programming
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