Practical Constraints for the Applied Lambert Problem

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No AccessEngineering NotesPractical Constraints for the Applied Lambert ProblemBlair F. Thompson and Luke J. RostowfskeBlair F. Thompson42nd Combat Training Squadron Peterson Air Force Base, Colorado 80914*Lieutenant Colonel, U.S. Air Force, Ph.D. Associate Fellow AIAA.Search for more papers by this author and Luke J. Rostowfske42nd Combat Training Squadron Peterson Air Force Base, Colorado 80914†Major, U.S. Air Force.Search for more papers by this authorPublished Online:17 Feb 2020https://doi.org/10.2514/1.G004765SectionsRead Now ToolsAdd to favoritesDownload citationTrack citations ShareShare onFacebookTwitterLinked InRedditEmail About References [1] Battin R. H., An Introduction to the Mathematics and Methods of Astrodynamics, AIAA Education Series, AIAA, New York, 1987, pp. 238–241, 285, 295, 325–342. Google Scholar[2] Prussing J. E. and Conway B. A., Orbital Mechanics, 2nd ed., Oxford Univ. Press, Oxford, 2013, pp. 82, 86–90, 95–98. 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M., Binz C. R. and Kindl S., “Orbital Dynamic Admittance and Earth Shadow,” Journal of the Astronautical Sciences, Jan. 2019, pp. 1–31. https://doi.org/10.1007/s40295-018-00144-1 Google Scholar[12] Loechler L., An Elegant Lambert Algorithm for Mulitple Revolution Orbits, M.S. Thesis, Dept. of Aeronautics and Astronautics, Massachusetts Inst. of Technology, Cambridge, MA, 1988, pp. 7–40. Google Scholar[13] Thompson B., Brown D. and Cobb R., “Complete Solution to the Lambert Problem with Perturbations and Target State Sensitivity,” Advances in the Astronautical Sciences, Vol. 164, AAS, Springfield, VA, 2018, pp. 421–432; also AAS Paper 18-074, 2018. Google Scholar[14] Thompson B., “Enhancing Lambert Targeting Methods to Accommodate 180-deg Transfers,” Journal of Guidance, Control, and Dynamics, Vol. 34, No. 6, 2011, pp. 1925–1929. https://doi.org/10.2514/1.53579 LinkGoogle Scholar[15] Bond V. and Allman M., Modern Astrodynamics: Fundamentals and Perturbation Methods, Princeton Univ. Press, Princeton, NJ, 1996, Appendix D. CrossrefGoogle Scholar[16] Prussing J., “A Class of Optimal Two-Impulse Rendezvous Using Multiple-Revolution Lambert Solutions,” Advances in the Astronautical Sciences, Vol. 106, AAS, Springfield, VA, 2000, pp. 17–39; also Paper AAS 00-250, 2000. Google Scholar[17] Gottlieb R. and Thompson B., “Bisected Direct Quadratic Regula Falsi,” Applied Mathematical Sciences, Vol. 4, No. 15, 2010, pp. 709–718. Google Scholar Previous article Next article FiguresReferencesRelatedDetailsCited byLambert’s Problem with Multiple ConstraintsJournal of Aerospace Engineering, Vol. 35, No. 5Numerical Solution for the Single-Impulse Flyby Co-Orbital Spacecraft Problem11 July 2022 | Aerospace, Vol. 9, No. 7 What's Popular Volume 43, Number 5May 2020 CrossmarkInformationThis material is declared a work of the U.S. Government and is not subject to copyright protection in the United States. 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 SciencesAstrodynamicsAstronauticsAstronomyCelestial MechanicsFlight DynamicsOrbital ManeuversOrbital PropertyPlanetary Science and ExplorationPlanetsSpace OrbitSpace Science and Technology KeywordsSpecific Angular MomentumApogee AltitudeSpacecraft ManeuversEarthMinimum Safe AltitudeSpacecraft GuidanceLow Energy TrajectoryEnergy TransferPropellantComputingPDF Received27 August 2019Accepted9 January 2020Published online17 February 2020