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 also illustrate these points.
|Number of pages||10|
|Journal||Advances in the Astronautical Sciences|
|Volume||97 PART 2|
|Publication status||Published - 1997|
All Science Journal Classification (ASJC) codes
- Aerospace Engineering
- Space and Planetary Science