Kinematics: Describing the Motions of Spacecraft

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.The goal o

Created by: Hanspeter Schaub

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Overall Score : 96 / 100

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Course Description

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.After this course, you will be able to...* Differentiate a vector as seen by another rotating frame and derive frame dependent velocity and acceleration vectors* Apply the Transport Theorem to solve kinematic particle problems and translate between various sets of attitude descriptions* Add and subtract relative attitude descriptions and integrate those descriptions numerically to predict orientations over time* Derive the fundamental attitude coordinate properties of rigid bodies and determine attitude from a series of heading measurements

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Instructor Details

Hanspeter Schaub

Hanspeter Schaub is the Glenn L. Murphy Chair of Engineering and Professor in Aerospace Engineering Sciences at the University of Colorado Boulder and is the current graduate chair of the aerospace engineering sciences department. He has nearly 20 years of research experience, of which four years are at Sandia National Laboratories. His research interests are in nonlinear dynamics and control, astrodynamics, relative motion dynamics, and relative motion sensing. This has led to approximately 122 journal and 187 conference publications, and a 3rd edition textbook on analytical mechanics of space systems. In the last decade, he has developed the emerging field of charged astrodynamics. Schaub has been the ADCS lead in the CICERO mission and the ADCS algorithm lead on a Mars Mission. He has been awarded the H. Joseph Smead Fellowship, the Provosts Faculty Achievement Award, the Faculty Assembly Award for excellence in teaching, as well as the Outstanding Faculty Advisor Award.

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Reviews

4.8

52 total reviews

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By Musab N A on 8-Feb-18

Great professor. The material is very focused on space systems, but can easily be used in other robotics applications

By Daniel d S on 16-Oct-17

A practically useful and wholly positive learning experience from a passionate professor. I am working as an engineer in the space industry already, and took this course to patch up some cloudy areas of understanding. I got quite the bang for my buck.The material is taught in a style that leans towards applicable theory for the well-educated engineer. The videos are recordings of in-classroom lectures from UC Boulder, a university know for it's tight history of collaboration with NASA everywhere from Mars to Earth's outer Magnetosphere. In this course you will cover the necessary engineering physics to describe orbiting and rotating reference frames, attitude coordinate systems, and methods for determining spacecraft attitude from on-board sensors.My educational background is from outside an aerospace engineering department, and I had no problem keeping up. I encourage not only aerospace engineers, but anyone working in space (scientists, programmers, operations personnel) to try this course.

By Brian P on 27-Jun-17

This is a great course for working through the book, "Analytical Mechanics of Space Systems" that I've owned for many years but never got around to working through it at the level of detail involved in working through the problems on paper, instead of just in my head. Prof Schaub does an excellent job of filling in the gaps in the text and making it more understandable, but it does really, really help to have the book to work through along with the class. Even with a background in physics, math, and engineering, I immediately learned something new about how to solve kinematics problems that I should have known but didn't. The concept of generalized/canonical coordinate systems never made sense to me until this class, where for some reason the explanation just clicked and I knew how it worked like flipping a switch. That knowledge alone was worth the price of the certificate. Continuing on to work the follow-on courses and perhaps complete the specialization.

By Shounak D on 4-Feb-18

Wish every Professor taught like this guy. Excellent. Fun course.Thank you !

By Konstantinos on 28-Jul-18

The course is absolutely amazing! You can learn a huge amount of mathematics and applications in classical mechanics on these 4 weeks, which is crucial for me as a physicist, and there are a lot of challenging exercises so you can fully understand this. The only (for my point of view) disadvantage of this course is that in the last week you need to use/learn some programming skilles which I was not interested in learning (I only wanted to study the physics and math of this course even if programming is also useful in the field of physics).

By Andrea M on 28-Jun-17

One of the best courses that I have ever done in coursera. Schaub can explain advanced concepts in a very pragmatic and easy-to-understand way. Suggested for professionals already with a Master degree's in Engineering, or student with solid basis of Geometry and Mathematical Programming (e.g. Matlab, Mathematica)

By Troy W on 25-Feb-18

Good way to teach the course.Could have been better if the professor could stop the urge to use vectricx notation.

By Nicolas R on 17-Feb-19

Serious stuff.

By Kasper W on 4-Mar-19

The course is really nice. It gave me a good perspective of the coordinate systems used for attitude control and how they are good and bad in different contexts. It covered valuable topics in new and ongoing work done in the topic with a great lecturer that is engaging with the class. The topics covered in attitude determination were also valuable and gave an insight in how attitude determination is done on spacecrafts through multiple sensors. Hopefully this knowledge will help in further classes.

By SAIKAT B on 14-Mar-19

Amazing,

By Jakub B on 28-Dec-18

Fantastic course with a fantastic lecturer

By Vishnuvardhan S on 1-Jul-18

Awesome Course,Professor Hanspeter Schaub is simply awesome, he delivers the concept so perfectly.Course is superb. It was wonderful to take this course. Hoping to take the follow-up courses.Thank you for the course.