Aerospace Systems

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This course serves as an introduction to the fundamental aspects of analytical mechanics with emphasis on aerospace systems. It stresses modeling of physical problems into mathematical terms.

TEXT: “Analytical Mechanics of Aerospace Systems,” by J.L. Junkins and H. Schaub, American Institute of Aeronautics and Astronautics, Reston, VA, 2003.

  • Particle Kinematics
    • Vector Description of Particle Motion
    • Angular Velocity of Rotation of Coordinate Systems
    • Differentiating Vectors Seen From Other Frames
  • Particle Dynamics
    • Newton’s Law
    • Conservative Forces and Potential Energy
    • Forced and Unforced Systems
    • Work/Energy Principles
    • Angular Momentum
  • System of N Particles
    • Super Particle Theorem
    • Angular Momentum
    • Kinetic Energy
  • Rigid Body Attitude Coordinates
    • Direction Cosine Matrix
    • Principle Rotation Vector
    • Euler Angles
  • Continuous System
  • Rigid Body Dynamics
    • Angular Momentum
    • Direction Cosine Matrix
    • Inertia Transformations
    • Kinetic Energy
    • Euler’s Rotational Equations of Motion
  • Introduction to Lagrange’s Equation of Motion

Years Taught: Fall '00, Spring '00, Fall '99, Spring '99, Fall '98