Analytical Mechanics for Spacecraft Dynamics

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  • Generalized Methods of Analytical Mechanics
    • Learn the methodology of developing equations of motion using D'Alembert's principle, virtual power forms, Lagrange's equations as well as the Boltzmann-Hamel equations. These methods allow for more efficient equations of motion development where state based (holonomic) and rate based (Pfaffian constraints) are considered.
  • Energy Based Equations of Motion
    • Derive methods to develop the equations of motion of a dynamical system with finite degrees of freedom based on energy expressions.
  • Variational Methods in Analytical Dynamics
    • Learn to develop the equations of motion for a dynamical system with deformable shapes. Such systems have infinite degrees of freedom and lead to partial differential equations.