Embark on a deep exploration of spacecraft relative motion control with the Spacecraft Relative Motion Kinematics and Kinetics course. This advanced-level offering from the University of Colorado Boulder unveils the fundamentals and applications of describing and controlling the motion of one spacecraft as observed from another.
Comprehensive and thought-provoking, the course encompasses the development of differential equations of relative motion, considerations of perturbations, and the study of relative orbits bounded to the chief. With a focus on practical applications, learners will grasp the use of a range of relative coordinates, the impact of perturbations on relative motion, and the setup of bounded relative orbits across various chief eccentricities.
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Delve into the four comprehensive modules of the Spacecraft Relative Motion Kinematics and Kinetics course. From revisiting Keplerian motion basics to exploring bounded relative motion, each module offers in-depth insights into spacecraft dynamics.
Revisit the foundational principles of Keplerian motion, including Newton’s Law, Kepler’s Laws, and orbit geometries. Dive into orbit differential equations of motion, orbital angular momentum, and orbit energy.
Uncover the intricacies of variation of parameters with a focus on Lagrangian matrix, Lagrange brackets, and Lagrange’s planetary equations. Explore Poisson brackets, Gauss' variational equations, and their numerical solutions.
Gain insights into spacecraft formation flying through an introduction to formation flying and the mapping between LVLH and inertial frames. Delve into relative equations of motion, curvilinear equations, and solutions for relative orbits with mean J2 perturbation.
Explore the challenges and solutions of bounded relative motion, including J2-invariant relative orbit constraints, impact of J2 perturbation on inertial motion, and fuel usage predictions for general mean element differences.
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