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<h2>AAS 97-727</h2>
<h2>MINIMUM Delta-V DEFLECTING EARTH-CROSSING ASTEROIDS </h2>
<h4> Sang-Young Park, J.T. Elder and I.M. Ross - Naval Postgraduate School </h4>
<h2> Abstract </h2>
We present a formulation of a finite-dimensional optimization problem associated with the deflection of Earth-Crossing Asteroids. The performance measure is minimizing the delta-V requirement for achieving a minimum target separation distance. A number of astrodynamical constraints are identified and modeled. The constrained optimization problem is numerically solved using a sequential quadratic programming method. Our numerical analysis indicates that the minimum delta-V requirement is not a monotonically decreasing function of the warning time; rather, there is a finer structure associated with the orbital period of the colliding asteroid. Computations performed for the asteroid Toutatis illustrate these points.