Abstract
AbstractThis paper presents an analytical zero-effort-miss (ZEM)/zero-effort-velocity (ZEV) feedback guidance algorithm using the Levi-Civita transformation, where the ZEM and ZEV vectors can be determined explicitly instead of numerical integration or any propagators. In each guidance cycle, the states of the spacecraft and target are first transformed into Levi-Civita coordinate, the optimal time-to-go is then computed through the Newton–Raphson method and the ZEM/ZEV vectors are determined explicitly, the optimal control inputs are finally transformed back into cartesian coordinate. The effectiveness of the proposed method is demonstrated using a missile intercept and a head-on collision intercept problem.KeywordsZEM/ZEV guidanceLevi-Civita transformationOptimal time-to-go
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