Optimum transference from the collinear libration points of the earthmoon system
Abstract
Optimized control strategies for minimization of time to move from one state vector to another in transferring from the collinear libration points in the earthmoon system are analytically defined. A Banach vector space and a dual vector space are formulated with respective norms whose product is employed to find maxima and minima for the equations of motion of a space vehicle. Control commands are then chosen to correspond with the set of minimum movement in terms of parametric equations of the trajectory. The minimum time required to make the transfer is then obtained.
 Publication:

Revue Roumaine de Mathematiques Pures et Appliquees
 Pub Date:
 1982
 Bibcode:
 1982RRMPA..27..495P
 Keywords:

 EarthMoon System;
 Libration;
 Time Optimal Control;
 Transfer Orbits;
 Banach Space;
 Equations Of Motion;
 Astronomy