Optimal Mid-Course Modifications of Ballistic Missile Trajectories.

摘要

The problem of finding optimal mid-course modifications of ballistic missile trajectories is investigated. A single velocity impulse is applied at the point of transfer from the original orbit to the modified trajectory. This limits the modified trajectory to one which intersects the original trajectory. Optimization of a weighted function of transfer velocity impulse and the time to impact after the modification occurs is accomplished. The function can be weighted to accommodate trade-offs between both components. The study is divided into two parts. Elliptical orbits for a non-rotating, atmosphere free earth are investigated, and then trajectories for an oblate, rotating earth with atmospheric reentry are examined.