Bolza type added conditions used in the study of optimal transfer from Lagrangian points

Details Bolza type added conditions used in the study of optimal transfer from Lagrangian points Bolza type added conditions used in the study of optimal transfer from Lagrangian points

Aug 1981

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1981stcma..40..471p&link_type=abstract

Studii si Cercetari de Mecanica Aplicata, vol. 40, July-Aug. 1981, p. 471-496. In Rumanian.

Physics

Bolza Problems, Earth-Moon Trajectories, Lagrangian Equilibrium Points, Mayer Problem, Trajectory Optimization, Transfer Orbits, Euler-Lagrange Equation, Optimal Control, Trajectory Analysis, Variational Principles

Scientific paper

A unified theory regarding the extremum conditions for Mayer type problems is presented, considering the transfer from Lagrangian points of the earth-moon system. The problem, that includes the analysis of the optimal trajectory that determines a final maximum velocity in a given time, may be generalized to also cover the final maximum distance. A verifying method for the sign variation of the second order of the functional fulfilling the necessary conditions for the Weierstrass case is discussed.

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