The movement of bodies in space (like spacecraft, satellites, and space stations) must be predicted and controlled with precision in order to ensure safety and efficacy. Kinematics is a field that develops descriptions and predictions of the motion of these bodies in 3D space. This course in Kinematics covers four major topic areas: an introduction to particle kinematics, a deep dive into rigid body kinematics in two parts (starting with classic descriptions of motion using the directional cosine matrix and Euler angles, and concluding with a review of modern descriptors like quaternions and Classical and Modified Rodrigues parameters). The course ends with a look at static attitude determination, using modern algorithms to predict and execute relative orientations of bodies in space.
Этот курс входит в специализацию ''Специализация Spacecraft Dynamics and Control'
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Специализация Spacecraft Dynamics and ControlКолорадский университет в БоулдереОб этом курсе
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Колорадский университет в Боулдере
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Программа курса: что вы изучите
Introduction to Kinematics
This module covers particle kinematics. A special emphasis is placed on a frame-independent vectorial notation. The position velocity and acceleration of particles are derived using rotating frames utilizing the transport theorem.
Rigid Body Kinematics I
This module provides an overview of orientation descriptions of rigid bodies. The 3D heading is here described using either the direction cosine matrix (DCM) or the Euler angle sets. For each set the fundamental attitude addition and subtracts are discussed, as well as the differential kinematic equation which relates coordinate rates to the body angular velocity vector.
Rigid Body Kinematics II
This module covers modern attitude coordinate sets including Euler Parameters (quaternions), principal rotation parameters, Classical Rodrigues parameters, modified Rodrigues parameters, as well as stereographic orientation parameters. For each set the concepts of attitude addition and subtraction is developed, as well as mappings to other coordinate sets.
Static Attitude Determination
This module covers how to take an instantaneous set of observations (sun heading, magnetic field direction, star direction, etc.) and compute a corresponding 3D attitude measure. The attitude determination methods covered include the TRIAD method, Devenport's q-method, QUEST as well as OLAE. The benefits and computation challenges are reviewed for each algorithm.
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Лучшие отзывы о курсе KINEMATICS: DESCRIBING THE MOTIONS OF SPACECRAFT
Except for certain random topics, everything else have been clearly explained with appropriate examples. the quizzes were enriching too.
I couldn't be more happy with this course I enjoyed every second of it... and yeah... also the assignments
A good course for those interested aerospace, as well as those just looking to further their mathematical skills.
Best technical course on coursera. Instructor is full of knowledge and is one of the best teachers i have came across.
Специализация Spacecraft Dynamics and Control: общие сведения
Spacecraft Dynamics and Control covers three core topic areas: the description of the motion and rates of motion of rigid bodies (Kinematics), developing the equations of motion that prediction the movement of rigid bodies taking into account mass, torque, and inertia (Kinetics), and finally non-linear controls to program specific orientations and achieve precise aiming goals in three-dimensional space (Control). The specialization invites learners to develop competency in these three areas through targeted content delivery, continuous concept reinforcement, and project applications.
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