caa a22 4500 463169964 CHVBK 20180406164810.0 cr unu---uuuuu 170326e20070301xx s 000 0 eng 10.1007/s10957-007-9165-5 doi (NATIONALLICENCE)springer-10.1007/s10957-007-9165-5 Guidance Trajectories for Spacecraft Rendezvous [Elektronische Daten] [A. Miele, M. Ciarcià, M. Weeks] In a previous paper of Miele et al. (J. Optim. Theory Appl. 132(1), 2007), we employed the single-subarc sequential gradient-restoration algorithm to optimize the three-dimensional rendezvous between a target spacecraft in a planar circular orbit and a chaser spacecraft with an initial separation distance and separation velocity. The achieved continuous solutions are characterized by two, three, or four subarcs depending on the performance index (time, fuel) and the constraints. In this paper, based on the solutions in Miele et al. (J. Optim. Theory Appl. 132(1), 2007), we employ the multiple-subarc sequential gradient-restoration algorithm to produce pieced guidance trajectories implementable in real time via constant control components. In other words, in this investigation, we force the controls to behave as parameters in each subarc. With the above understanding, we investigate four problems: (P1)minimum time, fuel free; (P2)minimum fuel, time free; (P3)minimum time, fuel given; (P4)minimum fuel, time given. Problem P1 results in a two-subarc solution, each subarc with constant controls: amax-thrust accelerating subarc followed by amax-thrust braking subarc. ProblemP2 results in a four-subarc solution, each subarc with constant controls: an initial coasting subarc, followed by a max-thrust braking subarc, followed by another coasting subarc, followed by another max-thrust braking subarc. Problems P3 and P4 result in two, three, or four-subarc solutions depending on the performance index and the constraints, albeit with constant controls in each subarc. For each of the problems studied, the performance index of the multiple-subarc pieced guidance trajectory approximates well the performance index of the single-subarc continuous optimal trajectory of Miele et al. (J. Optim. Theory Appl. 132(1), 2007) as well as the performance index of the multiple-subarc pieced optimal trajectory: the pairwise relative differences in performance index are less than 1/100. Springer Science+Business Media, LLC, 2007 Space trajectories nationallicence Rendezvous nationallicence Guidance nationallicence Optimal control nationallicence Calculus of variations nationallicence Mayer problems nationallicence Bolza problems nationallicence Transformation techniques nationallicence Multiple-subarc sequential gradient-restoration algorithm nationallicence Miele A. Aero-Astronautics Group, Rice University, Houston, TX, USA aut Ciarcià M. Aero-Astronautics Group, Rice University, Houston, TX, USA aut Weeks M. Aeroscience and Flight Mechanics Division, NASA-Johnson Space Center, Houston, TX, USA aut Journal of Optimization Theory and Applications Kluwer Academic Publishers-Plenum Publishers; http://www.springer-ny.com 132/3(2007-03-01), 377-400 0022-3239 132:3<377 2007 132 10957 https://doi.org/10.1007/s10957-007-9165-5 text/html Onlinezugriff via DOI 1 research-article jats NATIONALLICENCE 856 40 https://doi.org/10.1007/s10957-007-9165-5 text/html Onlinezugriff via DOI NATIONALLICENCE 700 1- Miele A. Aero-Astronautics Group, Rice University, Houston, TX, USA aut NATIONALLICENCE 700 1- Ciarcià M. Aero-Astronautics Group, Rice University, Houston, TX, USA aut NATIONALLICENCE 700 1- Weeks M. Aeroscience and Flight Mechanics Division, NASA-Johnson Space Center, Houston, TX, USA aut NATIONALLICENCE 773 0- Journal of Optimization Theory and Applications Kluwer Academic Publishers-Plenum Publishers; http://www.springer-ny.com 132/3(2007-03-01), 377-400 0022-3239 132:3<377 2007 132 10957 Metadata rights reserved Springer special CC-BY-NC licence nationallicence BK010053 XK010053 XK010000 NATIONALLICENCE NATIONALLICENCE NL-springer