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An analytical treatment of performance analysis of guidance laws is possible only in simplistic scenarios. As the complexity of the guidance system increases, a search for analytical solutions becomes quite impractical. In this paper, a new performance measure, based upon the notion of a timescale gap that can be computed through numerical simulations, is developed for performance analysis of guidance laws. Finite time Lyapunov exponents are used to define the timescale gap. It is shown that the timescale gap can be used for quantification of the rate of convergence of trajectories to the collision course. Comparison between several guidance laws, based on the timescale gap, is presented. Realistic simulations to study the effect of aerodynamics and atmospheric variations on the timescale gap of these guidance laws are also presented.
Date of Publication: May 2010