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Part 1: Rigid body kinematics parameterizations in three dimensions: Direction cosine matrix, Euler angles, principal rotation vector, Euler parameters (quaternions), classical and modified Rodrigues parameters.
Part 2: Rigid body dynamics: angular momentum, kinetic energy and moment of inertia in three dimensions, Euler’s rotational equations of motion, torque-free rigid body rotation, dual-spin spacecraft, momentum exchange devices and gravity gradient stabilization.
Part 3: Nonlinear spacecraft stability and control: stability definitions, Lyapunov stability, Lyapunov functions, nonlinear feedback control laws, Lyapunov optimal control laws and linear closed-loop dynamics.
After completing course the student should be able to:
For the higher grades, the student should also be able to
6. Demonstrate in-depth methodology and understanding of attitude control of spacecraft, including three-dimensional kinematics, rigid body dynamics and non-linear regulation.
The lectures briefly introduce the topics and methods used to solve the problems on the problem sheets. The workshops are tutored and the students are strongly encouraged to work in groups. The problem sheets cannot be finished during scheduled hours, so work on problem sheets during non-scheduled hours is required to meet the deadlines.
Completed degree project on Bachelor level.
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The software Matlab is used throughout the course. Students are expected to use their own computers to solve the problems on the homeworks.
Schaub, H. & Junkins, J. L. Analytical Mechanics of Space Systems, 2nd edition, AIAA Education Series, 2009.
Supplementary material in the form of research articles will be provided.
A, B, C, D, E, FX, F
Based on recommendation from KTH’s coordinator for disabilities, the examiner will decide how to adapt an examination for students with documented disability.
The examiner may apply another examination format when re-examining individual students.
The participants are required to complete the following:
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Further information about the course can be found on the Course web at the link below. Information on the Course web will later be moved to this site.
Course web SD2910Mechanical Engineering
Second cycle
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