, Volume 10, Issue 3, pp 219-227

Necessary and Sufficient Conditions for Optimal Impulsive Rendezvous with Linear Equations of Motion

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Abstract

Necessary and Sufficient Conditionsare known for the problem of the impulsive minimization of thetotal characteristic velocity of a spacecraft subject to linearequations of motions. These conditions are global in the sensethat the primer vector must be known over the entire flight interval.The purpose of the present paper is to present new localizednecessary and sufficiency conditions for the fixed-time problemthat are derived from the original ones, but require informationabout the primer vector only at a few specific points. Thesenew necessary and sufficiency conditions have both theoreticaland practical value.