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Generalizing the Bicircular Restricted Four-Body Problem

2020; American Institute of Aeronautics and Astronautics; Volume: 43; Issue: 6 Linguagem: Inglês

10.2514/1.g004848

1533-3884

Rodolfo Batista Negri, A. F. B. A. Prado,

Nuclear physics research studies

No AccessEngineering NotesGeneralizing the Bicircular Restricted Four-Body ProblemRodolfo B. Negri and Antônio F. B. A. PradoRodolfo B. NegriNational Institute for Space Research, 12227-010 São José dos Campos, Brazil and Antônio F. B. A. PradoNational Institute for Space Research, 12227-010 São José dos Campos, BrazilPublished Online:17 Feb 2020https://doi.org/10.2514/1.G004848SectionsRead Now ToolsAdd to favoritesDownload citationTrack citations ShareShare onFacebookTwitterLinked InRedditEmail About References [1] Yagasaki K., "Sun-Perturbed Earth-to-Moon Transfers with Low Energy and Moderate Flight Time," Celestial Mechanics and Dynamical Astronomy, Vol. 90, Nos. 3–4, 2004, pp. 197–212. https://doi.org/10.1007/s10569-004-0406-8 CrossrefGoogle Scholar[2] Mingotti G., Topputo F. and Bernelli-Zazzera F., "Optimal Low-Thrust Invariant Manifold Trajectories via Attainable Sets," Journal of Guidance, Control, and Dynamics, Vol. 34, No. 6, 2011, pp. 1644–1656. https://doi.org/10.2514/1.52493 LinkGoogle Scholar[3] Henninger H. C. and Biggs J. 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B. A. Prado 22 February 2022 | Journal of Guidance, Control, and Dynamics, Vol. 45, No. 7On the stability of satellites at unstable libration points of sun–planet–moon systemsCommunications in Nonlinear Science and Numerical Simulation, Vol. 104Lie series solution of the bicircular problemResults in Physics, Vol. 31 What's Popular Volume 43, Number 6June 2020 CrossmarkInformationCopyright © 2020 by the American Institute of Aeronautics and Astronautics, Inc. All rights reserved. All requests for copying and permission to reprint should be submitted to CCC at www.copyright.com; employ the eISSN 1533-3884 to initiate your request. See also AIAA Rights and Permissions www.aiaa.org/randp. TopicsAerospace SciencesAsteroidsAstrodynamicsAstronauticsAstronomyCelestial MechanicsKepler's Laws of Planetary MotionOrbital ManeuversOrbital PropertyPlanetary Science and ExplorationPlanetsSpace OrbitSpace Science and Technology KeywordsSaturnPotentially Hazardous AsteroidsLagrangian PointOrbital PeriodOrbital ElementsElliptical OrbitKeplerian OrbitCanonical UnitsSolar SystemSatellitesAcknowledgmentsThe authors wish to express their appreciation for the support provided by grants 406841/2016-0 and 301338/2016-7 from the National Council for Scientific and Technological Development (CNPq); grants 2017/20794-2, 2015/19880-6, and 2016/24561-0 from São Paulo Research Foundation (FAPESP); and the financial support from the Coordination for the Improvement of Higher Education Personnel (CAPES).PDF Received27 September 2019Accepted19 January 2020Published online17 February 2020