Relative Control of a Virtual Telescope Using Global Positioning System and Optical Metrology

Abstract

Nomenclature Roman Symbols a = Semimajor axis A = Plant matrix B = Deterministic matrix e = Eccentricity e c = Control error vector GM = Gravitational parameter i = Inclination K = Gain matrix l = Reference separation between the occulter and the coronagraph M = Mean anomaly Q = Control error weighting matrix R = Control input weighting matrix r = Position in Earth-Centered Inertial (ECI) u = Control input v = Velocity in ECI x = State vector in ECI Greek Symbols ω = Argument of perigee Ω = Right ascension of ascending node Subscripts cs = The coronagraph satellite cs, ref = Reference trajectory for the coronagraph max = Maximum value os = The occulter satellite ⊕ = The Earth = The Sun