caa a22 4500 445863579 CHVBK 20180317145451.0 cr unu---uuuuu 170323e20110801xx s 000 0 eng 10.1007/s10569-011-9349-z doi (NATIONALLICENCE)springer-10.1007/s10569-011-9349-z Optimal two-impulse rendezvous using constrained multiple-revolution Lambert solutions [Elektronische Daten] [Gang Zhang, Di Zhou, Daniele Mortari] A solution to the fixed-time minimum-fuel two-impulse rendezvous problem for the general non-coplanar elliptical orbits is provided. The optimal transfer orbit is obtained using the constrained multiple-revolution Lambert solution. Constraints consist of lower bound for perigee altitude and upper bound for apogee altitude. The optimal time-free two-impulse transfer problem between two fixed endpoints implies finding the roots of an eighth order polynomial, which is done using a numerical iterative technique. The set of feasible solutions is determined by using the constraints conditions to solve for the short-path and long-path orbits semimajor axis ranges. Then, by comparing the optimal time-free solution with the feasible solutions, the optimal semimajor axis for the two fixed-endpoints transfer is identified. Based on the proposed solution procedure for the optimal two fixed-endpoints transfer, a contour of the minimum cost for different initial and final coasting parameters is obtained. Finally, a numerical optimization algorithm (e.g., evolutionary algorithm) can be used to solve this global minimization problem. A numerical example is provided to show how to apply the proposed technique. Springer Science+Business Media B.V., 2011 Lambert's problem nationallicence Multiple revolution nationallicence Two-impulse rendezvous nationallicence Non-coplanar elliptical orbits nationallicence Coasting arcs nationallicence Zhang Gang Department of Control Science and Engineering, Harbin Institute of Technology, 150001, Harbin, China aut Zhou Di Department of Control Science and Engineering, Harbin Institute of Technology, 150001, Harbin, China aut Mortari Daniele Department of Aerospace Engineering, Texas A&M University, 77843-3141, College Station, TX, USA aut Celestial Mechanics and Dynamical Astronomy Springer Netherlands 110/4(2011-08-01), 305-317 0923-2958 110:4<305 2011 110 10569 https://doi.org/10.1007/s10569-011-9349-z text/html Onlinezugriff via DOI 1 research-article jats NATIONALLICENCE 856 40 https://doi.org/10.1007/s10569-011-9349-z text/html Onlinezugriff via DOI NATIONALLICENCE 700 1- Zhang Gang Department of Control Science and Engineering, Harbin Institute of Technology, 150001, Harbin, China aut NATIONALLICENCE 700 1- Zhou Di Department of Control Science and Engineering, Harbin Institute of Technology, 150001, Harbin, China aut NATIONALLICENCE 700 1- Mortari Daniele Department of Aerospace Engineering, Texas A&M University, 77843-3141, College Station, TX, USA aut NATIONALLICENCE 773 0- Celestial Mechanics and Dynamical Astronomy Springer Netherlands 110/4(2011-08-01), 305-317 0923-2958 110:4<305 2011 110 10569 Metadata rights reserved Springer special CC-BY-NC licence nationallicence BK010053 XK010053 XK010000 NATIONALLICENCE NATIONALLICENCE NL-springer