Kinematics: Describing the Motions of Spacecraft に戻る

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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...

Oct 19, 2017

Brilliant classes! Absolutely brilliant, enjoyed every bit of it. All you need is that you should love Physics and Maths to attend these classes. If you do, it is an enriching experience for you.

Jun 03, 2019

if you are an aerospace engineering student and would like to get into orbital mechanics/ control and dynamics of satellites or celestial bodies, it's a decent course (series) to take.

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by Musab N A

•Feb 08, 2018

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

by Daniel d S

•Oct 16, 2017

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 Troy W

•Feb 25, 2018

Good way to teach the course.

Could have been better if the professor could stop the urge to use vectricx notation.

by Brian P

•Jun 27, 2017

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 Konstantinos

•Jul 28, 2018

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 Kasper W

•Mar 04, 2019

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 Pratik W

•Sep 13, 2017

Great Course! Given the advanced nature of this subject, Prof Schaub has successfully carved out an extremely neat course structure. His lectures provide valuable and clear insights into the concepts at play. The assignments are thorough and engaging as well. This course has already added substantial value to my background in Aerospace. I'm looking forward to enrolling in other similar courses!

by CEDRIC T

•Nov 10, 2019

Excellent course, even for non specialist or space professional. High quality course that can become very hard, especially if you haven't been doing maths for a while. However , it's a high reward if you succeed the course with a good grade, as it demonstrates you can handle work intensive assignments and programming.

by Andrea M

•Jun 28, 2017

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 Shounak D

•Feb 04, 2018

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

by Samuel L

•Jun 22, 2019

Course material is great, Prof Schaub is an excellent lecturer, but one thing that makes this course disappointing is that neither himself nor his TA is ever around to interact with the course mates. I was expecting a bit more activity with the mentorship and some QNA, but all of the cross-checkings of work are between classmates (so it could be the case of the blind leading the blind really...) and we are pretty much left alone. This makes it no different than watching videos on our own on Khan Academy or Youtube (zero interaction really). Otherwise, the content and material is good and well structured. Disclaimer - this is grad level stuff, so make sure your linear algebra and calculus is pretty solid.

by Clemens R

•Dec 27, 2018

Very good course! Few of the quizzes have the wrong answers marked as correct which can be confusing when learning the material (see the discussion forum for specifics).

by Aleksandr G

•May 05, 2019

Very useful compilation of attitude determination math. Could be applied in many engineering fields, not only spacecraft control.

Special thanks to lector Dr. H. Schaub. He is really know how to teach. I also recommend to visit he's web page, which is very useful.

http://hanspeterschaub.info/main.html_{}

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by Craig Z

•Jul 29, 2019

This a very difficult course but worth it if you put the time into it. This is an advanced graduate-level class and is relies heavily on previous concepts in physics, linear algebra, and calculus. Would not suggest taking it if you are not strong in all three.

by Mehvesh S

•Nov 28, 2019

This course was so good that I'm considering a masters at UC Boulder! On my way to finish all the courses in the series and I highly recommend to finish all 4 courses to have sufficient fundamental knowledge in ADCS/GNC field.

by Vishnuvardhan S

•Jul 01, 2018

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.

by Saju T M

•Oct 19, 2017

Brilliant classes! Absolutely brilliant, enjoyed every bit of it. All you need is that you should love Physics and Maths to attend these classes. If you do, it is an enriching experience for you.

by Rashi J

•Jun 03, 2019

if you are an aerospace engineering student and would like to get into orbital mechanics/ control and dynamics of satellites or celestial bodies, it's a decent course (series) to take.

by María A A B

•Oct 19, 2017

This is a great course for beginners in kinematics, I enjoy it and learn so much. However, you need to have a good math background.

by Kyle R

•Dec 11, 2019

Gives a good introduction to common attitude representations, along with how attitude can be determined from sensor measurements.

by Vishish

•Sep 11, 2019

Great course! Great lectures! Easy to understand.

by Barath C

•Mar 07, 2018

Awesome course! Gave a strong theoretical base.

by Jakub B

•Dec 28, 2018

Fantastic course with a fantastic lecturer

by JOHN Q

•May 05, 2017

wonderful course. very interesting

by Nicolas R

•Feb 17, 2019

Serious stuff.