AME559

038818

Modeling of gravitating dynamical systems within Newtonian, Lagrangian, and Hamiltonian frameworks with application to spacecraft motion in non-Keplerian and strongly perturbed environments. n-body problem, classical integrals of motion, Sundman's inequality, and central configurations; two-body and restricted two-body problems, classical, equinoctial, Delaunay, and Poincare orbital elements, universal variables; perturbation methods, Lagrange's and Gauss's equations, method of averaging, canonical transformations and perturbation theory; gravitational potential field models; oblateness, 3rd body, and SRP effects; two body relative motion, Clohessy-Wiltshire-Hill and Tschauner Hempel-Lawden equations, state transition matrices, and orbital element difference description; restricted and Hill-restricted three-body and four-body problems, Jacobi integral, equilibria, periodic solutions, local stability, invariant manifolds, and chaotic trajectories; generalization of n-body problem to rigid mass distributions, full 2-body problem, coupled orbital and attitude dynamics in central gravity.

GRD - Regular Grades A, B, C, D, E

Graduate

Prerequisite: AME 557 if no undergraduate orbital mechanics class and/or a LPL/Astronomy major.