Analytic Optimal Observability Maneuvers for In-Orbit Bearings-Only Rendezvous

Abstract

No AccessEngineering NoteAnalytic Optimal Observability Maneuvers for In-Orbit Bearings-Only RendezvousJonathan Grzymisch and Walter FichterJonathan GrzymischInstitute of Flight Mechanics and Control, University of Stuttgart, 70569 Stuttgart, Germany*Ph.D Candidate, Institute of Flight Mechanics and Control, Pfaffenwaldring 7a; .Search for more papers by this author and Walter FichterInstitute of Flight Mechanics and Control, University of Stuttgart, 70569 Stuttgart, Germany†Professor, Institute of Flight Mechanics and Control, Pfaffenwaldring 7a; . Senior Member AIAA.Search for more papers by this authorPublished Online:11 Sep 2014https://doi.org/10.2514/1.G000612SectionsView Full TextPDFPDF Plus ToolsAdd to favoritesDownload citationTrack citations ShareShare onFacebookTwitterLinked InRedditEmail About References [1] Woffinden D. C. and Geller D. K., “Observability Criteria for Angles-Only Navigation,” IEEE Transactions on Aerospace and Electronic Systems, Vol. 45, No. 3, 2009, pp. 1194–1208. doi:https://doi.org/10.1109/TAES.2009.5259193 IEARAX 0018-9251 CrossrefGoogle Scholar[2] Grzymisch J. and Fichter W., “Observability Criteria and Unobservable Maneuvers for In-Orbit Bearings-Only Navigation,” Journal of Guidance, Control, and Dynamics, Jan. 2014, pp. 1–10. doi:https://doi.org/10.2514/1.62476 JGCDDT 0162-3192 LinkGoogle Scholar[3] Woffinden D. C. and Geller D. K., “Optimal Orbital Rendezvous Maneuvering for Angles-Only Navigation,” Journal of Guidance, Control, and Dynamics, Vol. 32, No. 4, 2009, pp. 1382–1387. doi:https://doi.org/10.2514/1.45006 JGCDDT 0162-3192 LinkGoogle Scholar[4] Fehse W., Automated Rendezvous and Docking of Spacecraft, Cambridge Aerospace Series, Cambridge Univ. Press, Cambridge, England, U.K., 2003, pp. 29–75, 424–440. doi:https://doi.org/10.1017/CBO9780511543388 CrossrefGoogle Scholar[5] 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 JGCDDT 0162-3192 LinkGoogle Scholar[6] Gaias G., D’amico S. and Ardaens J., “Angles-Only Navigation to a Noncooperative Satellite Using Relative Orbital Elements,” Journal of Guidance, Control, and Dynamics, Vol. 37, No. 2, 2014, pp. 439–451. doi:https://doi.org/10.2514/1.61494 JGCDDT 0162-3192 LinkGoogle Scholar[7] Davis C., “Theory of Positive Linear Dependence,” American Journal of Mathematics, Vol. 76, No. 4, 1954, pp. 733–746. doi:https://doi.org/10.2307/2372648 AJMAAN 0002-9327 CrossrefGoogle Scholar[8] Boyd S. and Vandenberghe L., Convex Optimization, Cambridge Univ. Press, Cambridge, England, U.K., 2004, pp. 215–271. CrossrefGoogle Scholar[9] Grzymisch J., Fichter W., Casasco M. and Losa D., “A Spherical Coordinate Parametrization for an In-Orbit Bearings-Only Navigation Filter,” Advances in Aerospace Guidance, Navigation and Control, Springer, New York, 2013, pp. 215–231. doi:https://doi.org/10.1007/978-3-642-38253-6 CrossrefGoogle Scholar Previous article Next article