Guidance Navigation and Control

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