Abstract
Conclusions This Note has developed a solution of Lambert’s problem, using a second-order approximation of the equations of motion, referenced to a point on a nearby circular orbit. The solution was obtained from a multiple-scale solution of Kepler’s problem in which the initial velocity variables were determined by an algebraic perturbation method, given the initial and final positions. The results show a significant improvement over the previous solution derived from a first-order approximation of the equations of motion. The advantages of such a method are an improved numerical accuracy as well as the coupling of in-plane and out-of-plane motion captured at second order. Acknowledgment
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