Spacecraft relative motion control has many applications including rendezvous and docking, circumnavigation, on orbit assembly, servicing, etc. The course Spacecraft Relative Motion Kinematics and Kinetics covers the fundamentals of describing the motion of one spacecraft as seen by another spacecraft. A range of relative coordinates are investigated. Further, the course covers developing the differential equations of motion of the relative motion and considers a range of assumptions on separation distances. Finally, the impact of the J2 perturbation on the relative motion is studied. After this course, you will be able to... * Describe relative motion using rectilinear or curvilinear Hill frame coordinates, using relative orbit elements, as well as using differential orbit elements. * Develop the differential equations of relative motion for both near circular and highly elliptical chief motions * Predict the impact of perturbations on the relative motion * Understand how to setup relative orbits that remain bounded to the chief. Please note: this is an advanced course, best suited for working engineers or students with college-level knowledge in mathematics and physics. The material covered is taking from the book "Analytical Mechanics of Space Systems" available at https://arc.aiaa.org/doi/book/10.2514/4.105210.
Example: Non-Conservative Variational equations with Lagrangian Coeffient Matrix
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Skills You'll Learn
J2 invariant relative orbits, variational equations, relative motion differential equations, relative orbit geometries, differential orbit element kinematics
From the lesson
Variation of Parameters
This week you will learn the mathematics to derivate the variational equations of parameters that are invariants of the unperturbed problem.
Taught By
Hanspeter Schaub
Glenn L. Murphy Chair in Engineering, Professor