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Optimal Rendezvous with Constraints on Circular and Elliptical Orbits
Author(s) -
Istratie V.
Publication year - 2001
Publication title -
zamm ‐ journal of applied mathematics and mechanics / zeitschrift für angewandte mathematik und mechanik
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.449
H-Index - 51
eISSN - 1521-4001
pISSN - 0044-2267
DOI - 10.1002/zamm.200108115111
Subject(s) - rendezvous , thrust , fuel efficiency , space vehicle , acceleration , circular orbit , space (punctuation) , motion (physics) , work (physics) , circular motion , mathematics , aerospace engineering , physics , spacecraft , control theory (sociology) , computer science , engineering , classical mechanics , thermodynamics , operating system , control (management) , artificial intelligence
This work studies the optimum rendezvous with minimum fuel consumption two space vehicles on circular and elliptical orbits, the surveyor vehicle being equipped with a low thrust installation, their motion equations being written in the three‐dimensional space, in relative motion; the space origin being the target vehicle. Optimal controls to be determined being the acceleration due to thrust, related to the minimum fuel consumption. By means of the Legendre‐Clebsch condition it is demonstrated that the formulated optimization problem is, indeed, a minimum problem.