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- W2001797553 abstract "A new technique is proposed to identify infinite families of candidate periodic trajectories (cyclers) in any restricted,coplanar,circular,two-planetsystem.Inthesimplestcaseinwhichonlyoneoftheplanetsenablesgravityassisted maneuvers, a method based on Henon’s diagram is used instead of solving Lambert’s multiple-revolution problem.Itprovidesthesolutionsinacomprehensiblegraphicalformandsuggeststheirnaturalclassification.Inthe particular Earth–Mars case, it is shown that all previously found solutions for cyclers are present in Henon’s diagram. For the more general case in which both planets enable gravity-assisted maneuvers, Henon’s diagram is extended to present the trajectories that start and end near the same planet with the same relative velocity. This new extended diagram can be also used to predict periodic trajectories in this more general system. A discussion of all classes of periodic trajectories is presented. Nomenclature a = semimajor axis e = eccentricity F, G = Lagrange/Gibbs functions h = angular momentum vector h = angular momentum magnitude hp = height of the hyperbola’s pericenter i = inclination angle M1, M2, M3 = bodies in the three-body problem: central (sun), primary (planet), and spacecraft m1, m2, m3 = masses of M1, M2, and M3 m = number of spacecraft’s semirevolutions n = number of primary’s semirevolutions P1, P2 = primary bodies (planets) in the four-body problem p = semilatus rectum" @default.
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- W2001797553 date "2008-05-01" @default.
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- W2001797553 title "Interplanetary Periodic Trajectories in Two-Planet Systems" @default.
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- W2001797553 doi "https://doi.org/10.2514/1.30046" @default.
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