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Low Energy Transit Orbits in the Restricted Three-Body Problems

1968; Society for Industrial and Applied Mathematics; Volume: 16; Issue: 4 Linguagem: Inglês

10.1137/0116060

1095-712X

C. Conley,

Aerospace Engineering and Control Systems

Previous article Next article Low Energy Transit Orbits in the Restricted Three-Body ProblemsC. C. ConleyC. C. Conleyhttps://doi.org/10.1137/0116060PDFBibTexSections ToolsAdd to favoritesExport CitationTrack CitationsEmail SectionsAbout[1] C. Conley, Notes on the restricted three body problem: Approximate behavior of solutions near the collinear Lagrangian points, TMX-53292, NASA, George C. Marshall Space Flight Center, Huntsville, Alabama, 1965 Google Scholar[2] Carl Ludwig Siegel, Vorlesungen über Himmelsmechanik, Springer-Verlag, Berlin, 1956ix+212 MR0080009 CrossrefGoogle Scholar[3] Aurel Wintner, The Analytical Foundations of Celestial Mechanics, Princeton Mathematical Series, v. 5, Princeton University Press, Princeton, N. J., 1941xii+448 MR0005824 0026.02302 Google Scholar[4] G. D. Birkhoff, The restricted problem of three bodies, Rend. Circ. Mat. Palermo, 39 (1915), 265–334 CrossrefGoogle Scholar[5] Charles C. Conley, On the ultimate behavior of orbits with respect to an unstable critical point. I. Oscillating, asymptotic, and capture orbits, J. Differential Equations, 5 (1969), 136–158 10.1016/0022-0396(69)90108-9 MR0251301 0169.11402 CrossrefISIGoogle Scholar[6] Jürgen Moser, On the generalization of a theorem of A. Liapounoff, Comm. Pure Appl. Math., 11 (1958), 257–271 MR0096021 0082.08003 CrossrefISIGoogle Scholar[7] V. V. Nemytskii and , V. V. Stepanov, Qualitative theory of differential equations, Princeton Mathematical Series, No. 22, Princeton University Press, Princeton, N.J., 1960viii+523 MR0121520 0089.29502 Google Scholar[8] Robert J. Sacker, A perturbation theorem for invariant manifolds and Hölder continuity, J. Math. Mech., 18 (1969), 705–762 MR0239221 0218.34046 ISIGoogle Scholar[9] M. C. Davidson, Numerical examples of transition orbits in the restricted three body problem, Astronaut. Acta, 10 (1964), 308–313 ISIGoogle Scholar Previous article Next article FiguresRelatedReferencesCited ByDetails Integrability of close encounters in the spatial restricted three-body problemCommunications in Contemporary Mathematics, Vol. 24, No. 06 | 4 June 2021 Cross Ref Geometry of transit orbits in the periodically-perturbed restricted three-body problemAdvances in Space Research, Vol. 70, No. 1 | 1 Jul 2022 Cross Ref Low-Thrust Orbit Dynamics and Periodic Trajectories in the Earth–Moon SystemAerotecnica Missili & Spazio, Vol. 101, No. 2 | 25 June 2022 Cross Ref Applying data mining techniques to higher-dimensional Poincaré maps in the circular restricted three-body problemCelestial Mechanics and Dynamical Astronomy, Vol. 133, No. 11-12 | 25 November 2021 Cross Ref Measure, dimension, and complexity of the transient motion in Hamiltonian systemsPhysica D: Nonlinear Phenomena, Vol. 107 | 1 Dec 2021 Cross Ref Interplanetary Small-Satellite Missions: Ballistic Problems and Their 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