caa a22 4500 445863021 CHVBK 20180317145449.0 cr unu---uuuuu 170323e20110301xx s 000 0 eng 10.1007/s10569-010-9327-x doi (NATIONALLICENCE)springer-10.1007/s10569-010-9327-x Optimal transfers between unstable periodic orbits using invariant manifolds [Elektronische Daten] [Kathryn Davis, Rodney Anderson, Daniel Scheeres, George Born] This paper presents a method to construct optimal transfers between unstable periodic orbits of differing energies using invariant manifolds. The transfers constructed in this method asymptotically depart the initial orbit on a trajectory contained within the unstable manifold of the initial orbit and later, asymptotically arrive at the final orbit on a trajectory contained within the stable manifold of the final orbit. Primer vector theory is applied to a transfer to determine the optimal maneuvers required to create the bridging trajectory that connects the unstable and stable manifold trajectories. Transfers are constructed between unstable periodic orbits in the Sun-Earth, Earth-Moon, and Jupiter-Europa three-body systems. Multiple solutions are found between the same initial and final orbits, where certain solutions retrace interior portions of the trajectory. All transfers created satisfy the conditions for optimality. The costs of transfers constructed using manifolds are compared to the costs of transfers constructed without the use of manifolds. In all cases, the total cost of the transfer is significantly lower when invariant manifolds are used in the transfer construction. In many cases, the transfers that employ invariant manifolds are three times more efficient, in terms of fuel expenditure, than the transfer that do not. The decrease in transfer cost is accompanied by an increase in transfer time of flight. Springer Science+Business Media B.V., 2011 Three-body problem nationallicence Unstable periodic orbits nationallicence Invariant manifolds nationallicence Dynamical systems theory nationallicence Transfer trajectories nationallicence Primer vector theory nationallicence Libration point orbits nationallicence Davis Kathryn Colorado Center for Astrodynamics Research, University of Colorado at Boulder, 429 UCB, 80309, Boulder, CO, USA aut Anderson Rodney Colorado Center for Astrodynamics Research, University of Colorado at Boulder, 429 UCB, 80309, Boulder, CO, USA aut Scheeres Daniel Colorado Center for Astrodynamics Research, University of Colorado at Boulder, 429 UCB, 80309, Boulder, CO, USA aut Born George Colorado Center for Astrodynamics Research, University of Colorado at Boulder, 429 UCB, 80309, Boulder, CO, USA aut Celestial Mechanics and Dynamical Astronomy Springer Netherlands 109/3(2011-03-01), 241-264 0923-2958 109:3<241 2011 109 10569 https://doi.org/10.1007/s10569-010-9327-x text/html Onlinezugriff via DOI 1 research-article jats NATIONALLICENCE 856 40 https://doi.org/10.1007/s10569-010-9327-x text/html Onlinezugriff via DOI NATIONALLICENCE 700 1- Davis Kathryn Colorado Center for Astrodynamics Research, University of Colorado at Boulder, 429 UCB, 80309, Boulder, CO, USA aut NATIONALLICENCE 700 1- Anderson Rodney Colorado Center for Astrodynamics Research, University of Colorado at Boulder, 429 UCB, 80309, Boulder, CO, USA aut NATIONALLICENCE 700 1- Scheeres Daniel Colorado Center for Astrodynamics Research, University of Colorado at Boulder, 429 UCB, 80309, Boulder, CO, USA aut NATIONALLICENCE 700 1- Born George Colorado Center for Astrodynamics Research, University of Colorado at Boulder, 429 UCB, 80309, Boulder, CO, USA aut NATIONALLICENCE 773 0- Celestial Mechanics and Dynamical Astronomy Springer Netherlands 109/3(2011-03-01), 241-264 0923-2958 109:3<241 2011 109 10569 Metadata rights reserved Springer special CC-BY-NC licence nationallicence BK010053 XK010053 XK010000 NATIONALLICENCE NATIONALLICENCE NL-springer