@inproceedings{382159e2856b4802b3e57630ba3be053,

title = "Attractive set of optimal feedback control for the hill three-body problem",

abstract = "This paper investigates the combination of optimal feedback control with the dynamical structure of the three-body problem. The results provide new insights for the design of continuous low-thrust spacecraft trajectories. Specifically, we solve for the attracting set of an equilibrium point under optimal control with quadratic cost. The analysis reveals the relation between the attractive set and original dynamics. In particular, we find that the asymptotic form of the attractive set to an equilibrium point or a fixed point under optimal control is completely defined by its left unstable eigenvectors and a term inversely proportional to its unstable eigenvalue.",

author = "Mai Bando and Scheeres, {Daniel J.}",

year = "2016",

language = "English",

isbn = "9780877036333",

series = "Advances in the Astronautical Sciences",

publisher = "Univelt Inc.",

pages = "471--488",

editor = "Ozimek, {Martin T.} and Renato Zanetti and Bowes, {Angela L.} and Russell, {Ryan P.} and Ozimek, {Martin T.}",

booktitle = "Spaceflight Mechanics 2016",

address = "United States",

note = "26th AAS/AIAA Space Flight Mechanics Meeting, 2016 ; Conference date: 14-02-2016 Through 18-02-2016",

}