Artigo Revisado por pares

Method of Multiple Scales for Orbit Propagation with Nonconservative Forces

2017; American Institute of Aeronautics and Astronautics; Volume: 40; Issue: 6 Linguagem: Inglês

10.2514/1.g002287

ISSN

1533-3884

Autores

Armand Awad, Anshu Narang-Siddarth, Ryan Weisman,

Tópico(s)

Guidance and Control Systems

Resumo

No AccessEngineering NoteMethod of Multiple Scales for Orbit Propagation with Nonconservative ForcesArmand Awad, Anshu Narang-Siddarth and Ryan WeismanArmand AwadUniversity of Washington, Seattle, Washington 98195*Graduate Research Assistant, Advanced Dynamics, Validation and Control Research Laboratory, William E. Boeing Department of Aeronautics and Astronautics.Search for more papers by this author, Anshu Narang-SiddarthUniversity of Washington, Seattle, Washington 98195†Assistant Professor, Advanced Dynamics, Validation and Control Research Laboratory, William E. Boeing Department of Aeronautics and Astronautics; .Search for more papers by this author and Ryan WeismanU.S. Air Force Research Laboratory, Kirtland Air Force Base, New Mexico 87117‡Research Aerospace Engineer, Space Vehicles Directorate.Search for more papers by this authorPublished Online:16 Feb 2017https://doi.org/10.2514/1.G002287SectionsRead Now ToolsAdd to favoritesDownload citationTrack citations ShareShare onFacebookTwitterLinked InRedditEmail About References [1] Vallado D. and Finkleman D., “A Critical Assessment of Satellite Drag and Atmospheric Density Modeling,” AIAA/AAS Astrodynamics Specialist Conference and Exhibit, AIAA Paper 2008-6442, Aug. 2008. LinkGoogle Scholar[2] Gaposchkin E. and Coster A., “Analysis of Satellite Drag,” Lincoln Laboratory Journal, Vol. 1, No. 2, 1988, pp. 203–224. Google Scholar[3] National Research Council, Continuing Kepler’s Quest—Assessing Air Force Space Command’s Astrodynamics Standards, National Academies Press, Washington, D.C., 2012, pp. 21–28, 35. Google Scholar[4] Vallado D. A., Fundamentals of Astrodynamics and Applications, 4th ed., Microcosm Press, Hawthorne, CA, 2013. Chaps. 9.2, 9.6, 9.8. Google Scholar[5] Brouwer D. and Hori G.-I., “Theoretical Evaluation of Atmospheric Drag Effects in the Motion of an Artificial Satellite,” Astronomical Journal, Vol. 66, No. 1290, June 1961, pp. 193–225. CrossrefGoogle Scholar[6] Delhaise F., “Analytical Treatment of Air Drag and Earth Oblateness Effects Upon an Artificial Satellite,” Advances in Space Research, Vol. 14, No. 5, 1994, pp. 69–72. doi:https://doi.org/10.1016/0273-1177(94)90098-1 ASRSDW 0273-1177 CrossrefGoogle Scholar[7] Barrio R. and Palacian J., “High-Order Averaging of Eccentric Artificial Satellites Perturbed by the Earth’s Potential and Air-Drag Terms,” Proceedings of the Royal Society of London, Series A: Mathematical, Physical and Engineering Sciences, Vol. 459, April 2003, pp. 1517–1534. CrossrefGoogle Scholar[8] Hoots F., “A Short Efficient Analytical Satellite Theory,” Journal of Guidance, Control, and Dynamics, Vol. 5, No. 2, 1982, pp. 194–199. doi:https://doi.org/10.2514/3.56157 JGCODS 0731-5090 LinkGoogle Scholar[9] Li L.-S., “Perturbation Effects of Quadratic Drag on the Orbital Elements of a Satellite in a Central Force Field,” Journal of the Astronautical Sciences, Vol. 58, No. 1, 2011, pp. 23–33. doi:https://doi.org/10.1007/BF03321157 CrossrefGoogle Scholar[10] Danielson D., Sagovac C., Neta B. and Early L., “Semianalytic Satellite Theory,” Naval Postgraduate School, TR, Monterey, CA, 1995. CrossrefGoogle Scholar[11] Dallas S. and Khan I., “The Singly Averaged Differential Equations of Satellite Motion for e Greater Than or Equal to 0 and Less Than 1,” AIAA/AAS Astrodynamics Conference, AIAA Paper 1976-0830, 1976. LinkGoogle Scholar[12] O’Brien R. T. and Sang J., “Semianalytic Satellite Theory Using the Method of Multiple Scales,” AIAA/AAS Astrodynamics Specialist Conference and Exhibit, AIAA Paper 2004-4852, Aug. 2004. LinkGoogle Scholar[13] Awad A., Narang-Siddarth A. and Weisman R., “The Method of Multiple Scales for Orbit Propagation with Atmospheric Drag,” AIAA Guidance, Navigation, and Control (GNC) Conference, AIAA Paper 2016-1370, Jan. 2016. LinkGoogle Scholar[14] Nayfeh A. H., Perturbation Methods, Wiley, New York, 2008, Chaps. 1.3, 1.4, 5, 6. Google Scholar[15] Cacan M. R., Leadenham S. and Leamy M. J., “An Enriched Multiple Scales Method for Harmonically Forced Nonlinear Systems,” Nonlinear Dynamics, Vol. 78, No. 2, 2014, pp. 1205–1220. doi:https://doi.org/10.1007/s11071-014-1508-9 NODYES 0924-090X CrossrefGoogle Scholar[16] Schaub H. and Junkins J. L., Analytical Mechanics of Space Systems, AIAA, Reston, VA, 2003, Chap. 12.3. LinkGoogle Scholar[17] O’Malley R. E., Historical Developments in Singular Perturbations, Springer, Switzerland, 2014, Chap. 5. CrossrefGoogle Scholar[18] Engels H., Numerical Quadrature and Cubature, Academic Press, New York, 1980, Chaps. 3, 4. Google Scholar[19] Escobal P. R., Methods of Orbit Determination, Wiley, New York, 1965, Chap. 10.4. Google Scholar[20] Wertz J. R., Mission Geometry: Orbit and Constellation Design and Management: Spacecraft Orbit and Attitude Systems, Vol. 1, Microcosm Press, El Segundo, CA, 2001, Chap. 2. Google Scholar[21] Montenbruck O. and Gill E., Satellite Orbits: Models, Methods and Applications, Springer Science & Business Media, Berlin, 2012, Chap. 3.5. Google Scholar Previous article Next article FiguresReferencesRelatedDetailsCited byA Machine Learning-Based Approach for Improved Orbit Predictions of LEO Space Debris With Sparse Tracking Data From a Single StationIEEE Transactions on Aerospace and Electronic Systems, Vol. 56, No. 6Efficient and accurate error propagation in the semi-analytic orbit dynamics system for space debrisAdvances in Space Research, Vol. 65, No. 1Multi-fidelity orbit uncertainty propagationActa Astronautica, Vol. 155 What's Popular Volume 40, Number 6June 2017 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 ISSN 0731-5090 (print) or 1533-3884 (online) to initiate your request. See also AIAA Rights and Permissions www.aiaa.org/randp. TopicsAerodynamicsAeronautical EngineeringAeronauticsAerospace SciencesAstrodynamicsAstronauticsAtmospheric ScienceEuropean Space AgencyOrbital PropertyPlanetary Science and ExplorationPlanetsSolar PhenomenaSolar PhysicsSpace AgenciesSpace OrbitSpace Science and Technology KeywordsSatellitesAtmospheric DragHighly Eccentric OrbitPeriapsisSpace Situational AwarenessSingular PerturbationNumerical IntegrationDrag CoefficientEarthAtmospheric ConditionsAcknowledgmentsThis work was supported in part by the U.S. Air Force Research Laboratory Space Scholars Program, sponsored by the Universities Space Research Association, as well as by startup funding from the William E. Boeing Department of Aeronautics and Astronautics, University of Washington. The authors appreciate the guidance and helpful input given by Terry Alfriend, Professor of Aerospace Engineering at Texas A&M University.PDF Received8 June 2016Accepted22 November 2016Published online16 February 2017

Referência(s)