The Earth life is exposed to the hazardous space collision like the Shoemaker-Levy 9 comet with Jupiter in July 1994 or the Chicxulub Crater brought about the Earth mass extinction. In this study, a impulsive and a continuous optimization problem are ...
The Earth life is exposed to the hazardous space collision like the Shoemaker-Levy 9 comet with Jupiter in July 1994 or the Chicxulub Crater brought about the Earth mass extinction. In this study, a impulsive and a continuous optimization problem are formulated to calculate the optimal impulses and the optimal lasing energies for deflecting Earth-Crossing Objects(ECOs). The direct shooting method for impulsive optimization and Hermite-Simpson''s scheme for continuous optimization are used to adopt a nonlinear programing. Those optimal impulses and lasing energies are provided to change the ECO''s velocity for avoiding impact to the Earth. The nonlinear constraints of the optimization problem are based on the three-dimensional patched conic approximation including the Earth''s gravitational effects. The optimal deflection of ECOs is estimated for various deflecting scenarios. The analysis performed in present paper can be practically applied to deflection missions by using spacecraft with limited power.