This research addresses the problem of formulating and analyzing
the single vehicle path planning problem for radar exposure
minimization. A single vehicle with given initial and final
positions is exposed to a threat radar and optimal paths are
sought. The calculus of variations and optimal control are applied
to formulate optimal trajectories and numerical optimization
algorithms are utilized to solve for the optimal paths. A
sensitivity study of the objective cost is performed for flight
against one radar utilizing two different geometries and several
numerical approaches. A second threat radar is then included in the
formulation and the optimal trajectory for fight between the radars
is found for several symmetric threat radar geometries.
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