# Gravitational Effects of Earth in Optimizing ?V for Deflecting Earth-Crossing Asteroids

@article{Ross2001GravitationalEO, title={Gravitational Effects of Earth in Optimizing ?V for Deflecting Earth-Crossing Asteroids}, author={I. Michael Ross and Sang-Young Park and Scott D. V. Porter}, journal={Journal of Spacecraft and Rockets}, year={2001}, volume={38}, pages={759-764} }

Analyses incorporating the gravitational effects of Earth to calculate optimal impulses for dee ecting Earthcrossing asteroids are presented. The patched conic method is used to formulate the constrained optimization problem. Geocentric constraints are mapped to heliocentric variables by the use of the impact parameter. The result is a unie ed nonlinear programming problem in the sense that no distinctions are made for short or long warning times. Numerical solutions indicate that the D V…

## 28 Citations

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We present a formulation of a e nite-dimensional optimization problem associated with the dee ection of Earthcrossing asteroids. The performance measure is minimizing the delta-V requirement for…

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