Guidance Navigation and Control

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This course gives the fundamental aspects of guidance, navigation and control of dynamical systems. This course stresses modeling of physical problems into mathematical terms.

TEXT: “Inertial Navigation Systems with Geodetic Applications,” by C. Jekeli, Walter de Gruyter, Berlin, 2001.

  • Particle Kinematics
    • Vector Description of Particle Motion
    • Angular Velocity of Rotation of Coordinate Systems
    • Differentiating Vectors Seen From Other Frames
    • Direction Cosine Matrix (Euler Angles)
  • Orbital Dynamics
    • Newton’s Law
    • Kepler’s Equation
    • Orbit Propagation and External Disturbances
  • Geodetics and Reference Frames
    • Geodesy of the Earth
    • Transformations Between Reference Frames
  • Global Positioning System (GPS)
    • Constellation Overview
    • Pseudorange Measurements
    • Clock Bias and Other Error Sources
  • Position Determination Using GPS
    • Linear and Nonlinear Least Squares
    • Geometric Dilution of Precision (GDOP)
  • Inertial Navigation Sensors (INS)
    • Fundamental Equations
    • Combined GPS/INS
  • Guidance and Control Concepts
    • Hohmann Transfer
    • Launch to Rendezvous

Years Taught: Spring '06, Spring '05, Spring '04, Spring '03, Spring '02