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• W2897069638 abstract "No AccessEngineering NotesElliptic Displaced Orbit Approximation with Equally Spaced ImpulsesAndrea Caruso, Giovanni Mengali and Alessandro A. QuartaAndrea CarusoUniversity of Pisa, Pisa I-56122, Italy*Ph.D. Student, Department of Civil and Industrial Engineering; .Search for more papers by this author, Giovanni MengaliUniversity of Pisa, Pisa I-56122, Italy†Professor, Department of Civil and Industrial Engineering; . Senior Member AIAA.Search for more papers by this author and Alessandro A. QuartaUniversity of Pisa, Pisa I-56122, Italy‡Professor, Department of Civil and Industrial Engineering; . Associate Fellow AIAA (Corresponding Author).Search for more papers by this authorPublished Online:22 Oct 2018https://doi.org/10.2514/1.G003900SectionsRead Now ToolsAdd to favoritesDownload citationTrack citations ShareShare onFacebookTwitterLinked InRedditEmail About References [1] McInnes C. R., “Dynamics, Stability, and Control of Displaced Non-Keplerian Orbits,” Journal of Guidance, Control, and Dynamics, Vol. 21, No. 5, 1998, pp. 799–805. doi:https://doi.org/10.2514/2.4309 JGCODS 0731-5090 LinkGoogle Scholar[2] McKay R. J., Macdonald M., Biggs J. D. and McInnes C. R., “Survey of Highly Non-Keplerian Orbits with Low-Thrust Propulsion,” Journal of Guidance, Control, and Dynamics, Vol. 34, No. 3, 2011, pp. 645–666. doi:https://doi.org/10.2514/1.52133 JGCODS 0731-5090 LinkGoogle Scholar[3] Forward R. L., “Light Levitated Geostationary Cylindrical Orbits,” Journal of the Astronautical Sciences, Vol. 29, No. 1, 1981, pp. 73–80. JALSA6 0021-9142 Google Scholar[4] Forward R. L., “Light-Levitated Geostationary Cylindrical Orbits Using Perforated Light Sails,” Journal of the Astronautical Sciences, Vol. 32, April–June 1984, pp. 221–226. JALSA6 0021-9142 Google Scholar[5] Forward R. L., “Light-Levitated Geostationary Cylindrical Orbits. Correction and Expansion,” Journal of the Astronautical Sciences, Vol. 38, No. 3, 1990, pp. 335–353. JALSA6 0021-9142 Google Scholar[6] Simo J. and McInnes C. R., “Asymptotic Analysis of Displaced Lunar Orbits,” Journal of Guidance, Control, and Dynamics, Vol. 32, No. 5, 2009, pp. 1666–1671. doi:https://doi.org/10.2514/1.43703 JGCODS 0731-5090 LinkGoogle Scholar[7] Simo J. and McInnes C. R., “Designing Displaced Lunar Orbits Using Low-Thrust Propulsion,” Journal of Guidance, Control, and Dynamics, Vol. 33, No. 1, 2010, pp. 259–265. doi:https://doi.org/10.2514/1.45305 JGCODS 0731-5090 LinkGoogle Scholar[8] Heiligers J., Ceriotti M., McInnes C. R. and Biggs J. D., “Displaced Geostationary Orbit Design Using Hybrid Sail Propulsion,” Journal of Guidance, Control, and Dynamics, Vol. 34, No. 6, 2011, pp. 1852–1866. doi:https://doi.org/10.2514/1.53807 JGCODS 0731-5090 LinkGoogle Scholar[9] Gong S. and Li J., “Solar Sail Heliocentric Elliptic Displaced Orbits,” Journal of Guidance, Control, and Dynamics, Vol. 37, No. 6, 2014, pp. 2021–2026. doi:https://doi.org/10.2514/1.G000660 JGCODS 0731-5090 LinkGoogle Scholar[10] Wang W., Yuan J., Mengali G. and Quarta A. A., “Invariant Manifold and Bounds of Relative Motion Between Heliocentric Displaced Orbits,” Journal of Guidance, Control, and Dynamics, Vol. 39, No. 8, 2016, pp. 1764–1776. doi:https://doi.org/10.2514/1.G001751 JGCODS 0731-5090 LinkGoogle Scholar[11] Yashko G. J. and Hastings D. E., “Analysis of Thruster Requirements and Capabilities for Local Satellite Clusters,” 10th Annual AIAA/USU Conference on Small Satellites, Utah State Univ. Paper SSC96-VIII-4, Logan, UT, Sept. 1996, https://digitalcommons.usu.edu/smallsat/1996/all1996/49/ [retrieved 14 June 2018]. Google Scholar[12] Spilker T. R., “Saturn Ring Observer,” Acta Astronautica, Vol. 52, Nos. 2–6, Jan. 2003, pp. 259–265. doi:https://doi.org/10.1016/S0094-5765(02)00165-0 AASTCF 0094-5765 CrossrefGoogle Scholar[13] McInnes C. R., “Displaced Non-Keplerian Orbits Using Impulsive Thrust,” Celestial Mechanics and Dynamical Astronomy, Vol. 110, No. 3, July 2011, pp. 199–215. doi:https://doi.org/10.1007/s10569-011-9351-5-011-9351-5 CrossrefGoogle Scholar[14] Yamanaka K. and Ankersen F., “New State Transition Matrix for Relative Motion on an Arbitrary Elliptical Orbit,” Journal of Guidance, Control, and Dynamics, Vol. 25, No. 1, 2002, pp. 60–66. doi:https://doi.org/10.2514/2.4875 JGCODS 0731-5090 LinkGoogle Scholar[15] Huo M., Mengali G. and Quarta A. A., “Electric Sail Thrust Model from a Geometrical Perspective,” Journal of Guidance, Control and Dynamics, Vol. 41, No. 3, 2018, pp. 735–741. doi:https://doi.org/10.2514/1.G003169 LinkGoogle Scholar Previous article Next article FiguresReferencesRelatedDetailsCited byOptimal solar sail transfers to circular Earth-synchronous displaced orbits2 August 2019 | Astrodynamics, Vol. 4, No. 3Magnetic sail-based displaced non-Keplerian orbitsAerospace Science and Technology, Vol. 92 What's Popular Volume 42, Number 2February 2019 CrossmarkInformationCopyright © 2018 by the authors. Published by the American Institute of Aeronautics and Astronautics, Inc., with permission. All requests for copying and permission to reprint should be submitted to CCC at www.copyright.com; employ the ISSN 0731-5090 (print) or 1533-3884 (online) to initiate your request. See also AIAA Rights and Permissions www.aiaa.org/randp. TopicsAerospace SciencesAstrodynamicsAstronauticsAstronomyCelestial MechanicsDwarf PlanetsKepler's Laws of Planetary MotionOrbital ManeuversOrbital PropertyPlanetary Science and ExplorationPlanetsSpace OrbitSpace Science and Technology KeywordsOrbital EccentricityMathematical ModelsNon Keplerian OrbitSpacecraft MotionClohessy Wiltshire EquationNumerical SimulationAstronomical UnitHarmonic OscillationHeliocentric OrbitDwarf PlanetsPDF Received14 June 2018Accepted9 August 2018Published online22 October 2018" @default.
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