No AccessThe Implicit Function Theorem with Applications in Dynamics and ControlMatthew Harris and John ValasekMatthew HarrisTexas A&M UniversitySearch for more papers by this author and John ValasekTexas A&M UniversitySearch for more papers by this authorSession: NSC-1: AIAA Foundation MastersPublished Online:25 Jun 2012https://doi.org/10.2514/6.2010-174SectionsRead Now ToolsAdd to favoritesDownload citationTrack citations ShareShare onFacebookXLinked InRedditEmail About Previous chapter Next chapter FiguresReferencesRelatedDetailsSee PDF for references What's Popular 48th AIAA Aerospace Sciences Meeting Including the New Horizons Forum and Aerospace Exposition 04 January 2010 - 07 January 2010Orlando, Floridahttps://doi.org/10.2514/6.2010-174 Crossmark TopicsApplied MathematicsControl TheoryElementary AlgebraGeneral PhysicsGuidance, Navigation, and Control SystemsMathematical AnalysisOptimal Control TheoryRiccati Equations KeywordsCostate EquationTaylor SeriesNewton's MethodLinear Quadratic RegulatorMATLABEccentric AnomalyBoundary Value ProblemsApplied MathematicsKepler's EquationRiccati EquationsDigital Topics Aerospace Systems, Operations and Life Cycle