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
