Euler Angles and the Euler Rotation Sequence

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  • เผยแพร่เมื่อ 9 ธ.ค. 2024

ความคิดเห็น • 143

  • @ChristopherLum
    @ChristopherLum  4 ปีที่แล้ว +23

    In case it is helpful, here are all the Flight Mechanics videos in a single playlist th-cam.com/play/PLxdnSsBqCrrEx3A6W94sQGClk6Q4YCg-h.html. You can support this channel via Patreon at www.patreon.com/christopherwlum. Please let me know what you think in the comments. Thanks for watching!

    • @mfatihozkan3503
      @mfatihozkan3503 22 วันที่ผ่านมา

      Hello, thanks for the lecture, Im trying to run matlab code but seems like DrawFrame functşon is missing, i checked the github but couldnt find might u help me

  • @changliu3313
    @changliu3313 3 ปีที่แล้ว +8

    I've been troubled for a long time by the Euler angles and how to correctly perform the self-rotation in sequence. This video is very clear and solves almost all my problems. Thank you so much

  • @user-Jalloul
    @user-Jalloul ปีที่แล้ว +2

    Beyond the excellent content, it's evident that your enthusiasm, excitement, and eagerness to share your knowledge on the subject you're teaching shine through.

    • @ChristopherLum
      @ChristopherLum  ปีที่แล้ว +1

      Hi,
      Thanks for the kind words, I'm glad you enjoyed the video. If you find these videos helpful, I hope you'll consider supporting the channel via Patreon at www.patreon.com/christopherwlum or via the 'Thanks' button underneath the video. Given your interest in this topic, I'd love to have you a as a Patron as I'm able to talk/interact personally with all Patrons. I can also answer any questions, provide code, notes, downloads, etc. on Patreon. Thanks for watching!
      -Chris

  • @Muslimun_wahid
    @Muslimun_wahid 4 ปีที่แล้ว +7

    One of the best instructors I got online... Thank you so much for your simplification of such important concepts.

  • @milesrobertroane955
    @milesrobertroane955 10 หลายเดือนก่อน +1

    AA516: I watched this last week but realized while watching this week's videos that I did not comment here. Good video, I like the Matlab demonstrations!

  • @carmelpule6954
    @carmelpule6954 4 ปีที่แล้ว +1

    I have thoroughly enjoyed watching this video. As a well over eighty-year-old engineer, I lived through the early days of computer programming and about 50 years ago using my primitive computer I tried to program a " line shape of a cross with a rudder "as a substitute for a basic aircraft outline which needed to follow my flying instructions of pitching rolling and yawing and translation. I obtained the flying simulation by a sequence of " slow" multiple transformations and I could not deduce that one could do it with one transformation through selecting a particular axis. Thank you for taking me back so many enjoyable years when I could afford the time to see the beauty of matrix transformations.

    • @ChristopherLum
      @ChristopherLum  4 ปีที่แล้ว

      Carmel, thanks for the great comment and historical perspective. It is great to hear your experience as it helps people appreciate the tools they have today as opposed to what was being done in the good old days of engineering. If you are interested, there is a follow in sequence of videos that show how some of this is implemented on some hardware, please feel free to check out the video and I'd love to hear your perspective. I hope to catch you at another video, thanks for watching!

    • @carmelpule6954
      @carmelpule6954 4 ปีที่แล้ว

      @@ChristopherLum Thank you for your reply, I shall definitely look at your sequence of videos and try to catch up with my lacking knowledge.
      At the moment, as an old man being locked in with " Coronavirus threat" I have been looking into spinning and precessing gyros and their elegant behavior. I have analyzed them and came to some useful conclusions about the gyro losing its centrifugal force, and simulated them with two linear linked differential equations. Though it is only an approximation one gets the idea of how torque in the vertical direction links torques in a horizontal direction.
      I shall now try to simulate the "floating and rotating action" of a "two-line gyro Rg spinning and Ra precessing radii" as shown in this video using your angular transformations. Thank you for the information , I shall follow your work and let you know of my thoughts. Thanks again.
      th-cam.com/video/Pbb_RnxeYys/w-d-xo.html

    • @ChristopherLum
      @ChristopherLum  4 ปีที่แล้ว

      That sounds like a great project, keep me posted!

  • @MrFedX
    @MrFedX 3 ปีที่แล้ว +4

    Came to understand more about euler rotations. Did not expect to also be so entertained! :D

    • @ChristopherLum
      @ChristopherLum  3 ปีที่แล้ว +1

      I'm glad it was helpful. Thanks for watching!

  • @aimeepak717
    @aimeepak717 8 หลายเดือนก่อน +1

    AE512: Great explanation of the DCM. Rotations are much less confusing when broken down into the three axes. (I also was impressed with the hand-drawn planes you had for each axis!)

  • @benjamindeworsop8348
    @benjamindeworsop8348 4 ปีที่แล้ว +1

    This is the clearest video describing a complex topic that I have ever watched. The way you motivate every discussion and clearly describe what's going on is INCREDIBLE. Thank you so much!!

    • @ChristopherLum
      @ChristopherLum  4 ปีที่แล้ว +1

      I'm glad it was helpful. There are other similar videos on the channel please feel free to check them out and let me know what you think in the comments. Thanks for watching

    • @cynthiamoricordova5099
      @cynthiamoricordova5099 3 ปีที่แล้ว

      I couldn't be more agree with you. It was a great explanation about Euler Angles.

  • @mehmetsahin8261
    @mehmetsahin8261 2 ปีที่แล้ว

    why you are my hero is that you make those topic that sounds like so complicated, eaisier to understand

    • @ChristopherLum
      @ChristopherLum  2 ปีที่แล้ว

      Hi Mehmet,
      Thanks for the kind words, I'm glad you enjoyed the video. If you find these videos helpful, I hope you'll consider supporting the channel via Patreon at www.patreon.com/christopherwlum or via the 'Thanks' button underneath the video. Given your interest in this topic, I'd love to have you a as a Patron as I'm able to talk/interact personally with all Patrons. Thanks for watching!
      -Chris

  • @KraegMachine
    @KraegMachine 3 ปีที่แล้ว

    cant thank you enough!!!im unable to express my gratitude in words

  • @xxroco0418xx
    @xxroco0418xx ปีที่แล้ว

    You explain so good these topics ,that if not well explained could be a struggle. But,you make it so interactive. good job.

    • @ChristopherLum
      @ChristopherLum  ปีที่แล้ว

      Hi Raul,
      Thanks for the kind words, I'm glad you enjoyed the video. If you find these videos helpful, I hope you'll consider supporting the channel via Patreon at www.patreon.com/christopherwlum or via the 'Thanks' button underneath the video. Given your interest in this topic, I'd love to have you a as a Patron as I'm able to talk/interact personally with all Patrons. I can also answer any questions, provide code, notes, downloads, etc. on Patreon. Thanks for watching!
      -Chris

  • @beritsyltebo3940
    @beritsyltebo3940 2 ปีที่แล้ว

    AA516: Thanks for writing everything out and being so thorough. The additional time spent doing this is very helpful so I could verify my own understanding and calculations.

  • @yaffetbedru6612
    @yaffetbedru6612 10 หลายเดือนก่อน

    AA516: Awesome discussion on Euler angles and rotation!

  • @wiloberlies9598
    @wiloberlies9598 4 ปีที่แล้ว +2

    Thanks Dr Lum, I was hoping you'd cover this topic....great info as always! I hope you and yours are healthy and safe.

    • @ChristopherLum
      @ChristopherLum  4 ปีที่แล้ว

      Hi Wil, great to hear from you. I've got a follow up to this video coming shortly, hopefully I'll see you there as well. I hope all is well on your end during these uncertain times!

    • @wiloberlies9598
      @wiloberlies9598 4 ปีที่แล้ว

      @@ChristopherLum Looking forward to the next video in the series, particularly if it will cover quaternions...all good here, I hope you and your family are still healthy. Have fun, be safe.

  • @rowellcastro2683
    @rowellcastro2683 10 หลายเดือนก่อน

    AA516: Awesome lecture. Rotating around the eigenvector with Rodrigue's rotation was very interesting! I have only heard of quaternions and apparently they make the process of rotating vectors easier. I am looking forward to learning about quaternions. Thanks Professor!

  • @inderbhangal5419
    @inderbhangal5419 2 ปีที่แล้ว

    AA 516: A lot of useful information explained relatively quickly and explained clearly with examples, very nice lecture.

  • @theehehron-1634
    @theehehron-1634 ปีที่แล้ว +1

    AA 516: Really interesting video, It's very satisfying watching the animation about a single axis at the end!

  • @Kumky605
    @Kumky605 9 หลายเดือนก่อน

    AA516: Forgot to comment on this when I watched it the first time but fantastic content, super engaging, and really enjoyed learning the concepts this way

  • @thomasstiglich3484
    @thomasstiglich3484 4 ปีที่แล้ว +2

    Another great video! Thank you for taking the time to present these videos.

    • @ChristopherLum
      @ChristopherLum  4 ปีที่แล้ว

      I'm glad it was helpful. This is the start of a series of videos discussing vehicle attitude. There is a video on the channel discussing how to do this using quaternions. Please let me know what you think of that one as well. Thanks for watching!

  • @edwardmau5877
    @edwardmau5877 8 หลายเดือนก่อน

    AE 512
    The MATLAB animation really helped with breaking down the concept into the 3 angles within their independent frames.

  • @leiladousti3769
    @leiladousti3769 4 ปีที่แล้ว +1

    Many thanks .Very helpful and finally I understood the concept of Euler parameters

    • @ChristopherLum
      @ChristopherLum  4 ปีที่แล้ว

      Glad it was helpful! Thanks for watching!

  • @petermay6090
    @petermay6090 10 หลายเดือนก่อน

    AA 516: Great MATLAB visualizations, very interesting lecture!

  • @Matttyyjon
    @Matttyyjon 4 ปีที่แล้ว +1

    This video is very helpful, I'm trying to come up with a math project for highschool and your video gave me the idea to derive the equation of the vector after rotations.

    • @ChristopherLum
      @ChristopherLum  4 ปีที่แล้ว +1

      I'm glad it was helpful. There are several related videos on the channel. Please feel free to check them out and I would love to hear what you think in the comments. Thanks for watching!

    • @Matttyyjon
      @Matttyyjon 4 ปีที่แล้ว

      @@ChristopherLum OK so I have one question I understood most of the video but what does Proving that the DCM is unitary do. That's where I am a bit confused like does it prove that the DCM is reliable in telling the final vector of the aircraft or some other reason?Thanks

  • @madhusudansharma6290
    @madhusudansharma6290 4 ปีที่แล้ว +1

    Love your videos, having knowledge is different from having skill/talent to share the knowledge, you have both.

    • @ChristopherLum
      @ChristopherLum  4 ปีที่แล้ว

      Thanks for the kind words. I'm glad it was helpful. Please let me know what you think of any of the other videos as well. Thanks for watching!

  • @davidtelgen8114
    @davidtelgen8114 8 หลายเดือนก่อน

    AE512: great explanations, and it even helped me understand eigenvalues better too.

  • @soowhanyi
    @soowhanyi ปีที่แล้ว +1

    AA516 love the matlab animation and i think it makes us understand easier with those visual simulations. I would love to learn in this manner. Thank you!

  • @dscoopeful
    @dscoopeful 2 ปีที่แล้ว

    Thank You, Christopher. Very well done!

    • @ChristopherLum
      @ChristopherLum  2 ปีที่แล้ว +1

      Hi David,
      Thanks for the kind words, I'm glad you enjoyed the video. If you find these videos helpful, I hope you'll consider supporting the channel via Patreon at www.patreon.com/christopherwlum. Given your interest in this topic, I'd love to have you a as a Patron as I'm able to talk/interact personally with all Patrons. Thanks for watching!
      -Chris

  • @yassinebenryan2814
    @yassinebenryan2814 4 ปีที่แล้ว

    This channel is priceless. Thank you

  • @nathanlipshutz3140
    @nathanlipshutz3140 8 หลายเดือนก่อน

    AE512: Appreciate the eigen vector explanation, it's an interesting connection back to the linear systems theory.

  • @Alvandelec
    @Alvandelec 4 ปีที่แล้ว +1

    Clear explanation ... thanks for sharing ... Christopher...

  • @adityabhat295
    @adityabhat295 4 ปีที่แล้ว +2

    Thanks you so much for this informative class Christopher. It made my life easier .
    Best regards
    Aditya (a student from India)

    • @ChristopherLum
      @ChristopherLum  4 ปีที่แล้ว +2

      I'm glad it was helpful. There are other similar videos on the channel. Please feel free to check them out and let me know what you think. Thanks for watching!

  • @reesetaylor3506
    @reesetaylor3506 8 หลายเดือนก่อน

    AE512: Super interesting that the eigenvector ends up being the axis of rotation, but this video finally connected why with my previous understanding of eigenvectors

  • @palomaramirez2360
    @palomaramirez2360 4 ปีที่แล้ว

    thank you very much!
    Greeting from Dominican Republic

    • @ChristopherLum
      @ChristopherLum  4 ปีที่แล้ว +1

      I'm glad it was helpful. There are several related videos on the channel. Please feel free to check them out and I would love to hear what you think in the comments. Thanks for watching!

  • @blums.skis_
    @blums.skis_ 3 ปีที่แล้ว

    great video, thank you. clear explanation with the right level of detail

  • @mrcoolstar91
    @mrcoolstar91 4 ปีที่แล้ว +1

    This is great :) Thanks for detailed explanations :)

    • @ChristopherLum
      @ChristopherLum  4 ปีที่แล้ว +1

      I'm glad it was helpful. There are several related videos on the channel. Please feel free to check them out and I would love to hear what you think in the comments. Thanks for watching!

  • @brianholloway7468
    @brianholloway7468 3 ปีที่แล้ว

    This video is amazing! I loved every minute! Thank you Sir!

  • @sagarkhairnar568
    @sagarkhairnar568 3 ปีที่แล้ว

    Nicely explained..I appreciate the efforts .

  • @mhdahdalw
    @mhdahdalw 4 ปีที่แล้ว

    I really appreciate you for making such an exelent video, It was really helpful for me to do my homework.

  • @anwar6971
    @anwar6971 4 ปีที่แล้ว +1

    Understood very, very well sir.

    • @ChristopherLum
      @ChristopherLum  4 ปีที่แล้ว

      Glad it was helpful, there are several other similar videos on the channel, please feel free to check them out. Thanks for watching!

  • @MrNewAmerican
    @MrNewAmerican 3 ปีที่แล้ว

    This so amazing!
    You've put in so much effort!

  • @shavykashyap
    @shavykashyap 10 หลายเดือนก่อน

    AA516 - Great discussion

  • @ucastik
    @ucastik 4 ปีที่แล้ว +1

    Sir, you covered all the necessary information just in 1 hours. Thank you for sharing. Which functions of matlab have you used in order to rotate frame with mouse ?

  • @cyberspider78910
    @cyberspider78910 2 ปีที่แล้ว

    you have advantage of writing with left hand...carry on..This concepts apply to robotics as well and are now quite clear to me ...thanks... and what should we do after we derive DCM. How it will help controlling flight !!

    • @ChristopherLum
      @ChristopherLum  2 ปีที่แล้ว

      Hi Viren,
      Thanks for reaching out, I'm glad you enjoyed the video. Unfortunately I'm unable to respond to questions on TH-cam due to the sheer volume of inquiries that I receive. That being said, I hope you'll consider supporting the channel via Patreon at www.patreon.com/christopherwlum or via the 'Thanks' button underneath the video as I'll be able to answer questions there. Given your interest in the topic, I'd love to have you as a Patron as I'm able to talk/interact personally with Patrons. Thanks for watching!
      -Chris

  • @lamiyanabaova3020
    @lamiyanabaova3020 3 ปีที่แล้ว

    priceless explanation.thanks a lot

  • @zaneyosif
    @zaneyosif 7 หลายเดือนก่อน

    AE512: Great to have the hand drawn diagram of the aircraft to show what the euler angles and DCM actually represent.

  • @boeing797screamliner
    @boeing797screamliner 3 ปีที่แล้ว +1

    AA516 - Great lecture as always. Also introduced me to some new Mathematica syntax - I now know how to simplify matrices instead of just leaving cos^2 + sin^2 in there, like I did for hw1 (oops)

    • @ChristopherLum
      @ChristopherLum  3 ปีที่แล้ว

      If you are interested in a more in depth look at Mathematica, I have a whole series of videos on this topic, feel free to check them out. For example, you can learn about Simplify vs. FullSimplify.

  • @saberxebeck
    @saberxebeck 3 ปีที่แล้ว

    another wonderful lecture, thank you!

  • @ojasvikamboj6083
    @ojasvikamboj6083 ปีที่แล้ว +1

    A A 516: Really liked the MATLAB visuals

  • @bsgove
    @bsgove 6 หลายเดือนก่อน

    AE512: I didn't realize until later in the class how exactly this would fold into our modeling of aircraft. It's clearly essential to mediate between different reference frames. It's unfortunate that DCM formulations across software packages are not always the same.

  • @AlexandraSurprise
    @AlexandraSurprise 10 หลายเดือนก่อน

    AA516: Allie S, I am also interested in the quaternions discussion. I have attended lectures on it before and the concept behind them is so wild and somehow intuitive! I'm sure your explanations will be really helpful.

  • @tanitanimoni4367
    @tanitanimoni4367 4 ปีที่แล้ว

    Excellent videos I have ever seen, would you please post (upload) the MATLAB scripts you used in the lecture.

  • @mostafaahmadi4998
    @mostafaahmadi4998 4 ปีที่แล้ว +1

    Superb explanation. That's awesome Chris. Thank you for sharing the playlist. If I create book on Spacecraft dynamics, I will make sure I will include your contribution. Could you please let us know if any Matlab simulations will accompany the flight dynamics playlist someday?

  • @ibrahimallafi1460
    @ibrahimallafi1460 3 ปีที่แล้ว

    thank you, gooooood lecture

  • @timproby7624
    @timproby7624 8 หลายเดือนก่อน

    [AE 512] I've had some experience with DCMs before but did not know about the eigenvector/value correlation to the "single" axis of rotation.

  • @wangchang1723
    @wangchang1723 10 หลายเดือนก่อน

    great video!

  • @Po-ChihHuang
    @Po-ChihHuang 10 หลายเดือนก่อน

    AA516 Very important topic with very interesting and clear explanation. Po

  • @shahinmohamadnejad6315
    @shahinmohamadnejad6315 3 ปีที่แล้ว +2

    First of all, thank you very much for such a nice lecture. I just have one question. In the lecture, you mentioned that the cosine matrix is not singular. I was wondering if this concept is always correct no matter how we choose angles of rotations!? The thing is I have seen in another lecture in which Tain-Bryant angles were used to present the cosine matrix. In that lecture, it was mentioned that for theta=90 the matrix is singular.

  • @danielmoore1994
    @danielmoore1994 2 ปีที่แล้ว

    AA516 - Certainly a highly engaging lecture. Connecting the Euler angles to the aerospace industry, is their definition based on the definition of the stability axes for an aircraft? Perhaps more specifically, is there a non-casual connection between the fact that the term C_13 term used to calculate the pitch angle from the direction cosine matrix is only dependent on the pitch angle, just as the longitudinal aircraft dynamic modes are uncoupled from motion in the other stability axes?

    • @ChristopherLum
      @ChristopherLum  2 ปีที่แล้ว

      Daniel, sort of. We'll talk about the stability axis later and we'll see they are different but related to Euler angles.

  • @malavikas9680
    @malavikas9680 3 ปีที่แล้ว

    Thanks a lot professor

  • @georgeyu7987
    @georgeyu7987 2 ปีที่แล้ว

    Thanks Dr Lum. At the end of video, you briefly mentioned intrinsic euler angle vs. extrinsic Euler angle, have you discuss extrinsic Euler angle in some of your video?

  • @maxwellsdaemon7
    @maxwellsdaemon7 2 ปีที่แล้ว

    Thanks for making this video. At 9:13, presenter says the vehicle starts aligned with the NED frame, but in the beginning of the video, he stated that the goal was to align the NED frame to the vehicle's Body frame. I was confused because the vehicle is already in the Body frame, and we want to align the NED frame to it, right? Maybe the presenter forgot to say that he was just using the vehicle/prop at 9:13 to show the sequence of euler rotations from NED to Body frame, is this right?

    • @ChristopherLum
      @ChristopherLum  2 ปีที่แล้ว +1

      Hi,
      Thanks for reaching out, I'm glad you enjoyed the video. Unfortunately I'm unable to respond to questions on TH-cam due to the sheer volume of inquiries that I receive. That being said, I hope you'll consider supporting the channel via Patreon at www.patreon.com/christopherwlum or via the 'Thanks' button underneath the video as I'll be able to answer questions there. Given your interest in the topic, I'd love to have you as a Patron as I'm able to talk/interact personally with Patrons. Thanks for watching!
      -Chris

  • @radoraan5272
    @radoraan5272 4 หลายเดือนก่อน

    first of all i want to thank you for all your work Christopher! amazing work!
    In second place i wanna share a dubt, to be exactly in 1:05:00 in the matlab code you use a function called "DrawFrame", and my question is how did you define the function? i tried to found it in internet but i couldn't.

  • @suthakarmuthu5024
    @suthakarmuthu5024 ปีที่แล้ว

    Hello Sir. Thanks for the wonderful lecture. I may need one clarification on how did you arrive at the atan2 equation for phi and chi (it starts at 49.11 in the video) from the DCM. May you point to any other lecture in case i need to understand this bit more.

  • @aboude82
    @aboude82 3 ปีที่แล้ว

    @Christopher You should put all your videos into a book, like Steve Brunton. I will buy it.

  • @601106790
    @601106790 4 ปีที่แล้ว

    Thanks Dr Lum. Very clear explainations. But question is: at 1:07:41, you did not mention how we calculate the rotation angle mu. Could you explain it? Many thanks!

    • @serhatsarhan8349
      @serhatsarhan8349 4 ปีที่แล้ว

      For the given initial angles, he probably captured the moment when three axis aligned. ( Longer pause time to capture obviously :) )

  • @sydneybrugman6366
    @sydneybrugman6366 2 ปีที่แล้ว

    AA 516: At the end of the video you described intrinsic versus extrinsic angles. Could you describe again why the psi, theta, phi angles we were working with are intrinsic? Also does this mean that the eigenvalue rotation angle is extrinsic?
    -Sydney B

    • @ChristopherLum
      @ChristopherLum  2 ปีที่แล้ว

      Great question. This is a little interesting as if you rotate around the primary axis this is only a single rotation, let's chat at office hours to make sure I understand the question.

  • @Rasmus0909
    @Rasmus0909 3 ปีที่แล้ว

    Thank you so much for this lecture and the other lectures you have on flight mechanics. You're a great person for sharing these for free.
    I do have a question, though, which I hope you will find the time to answer. How come your sines in the rotation matrices for the DCM have opposite signs of what I find online when searching for rotation matrices? Is it due to positive being defined as down in the NED coordinate system?

    • @ChristopherLum
      @ChristopherLum  3 ปีที่แล้ว

      Thanks for reaching out, I'm glad you enjoyed the video. Unfortunately I'm unable to respond to questions on TH-cam due to the sheer volume of inquiries that I receive. That being said, I hope you'll consider supporting the channel via Patreon at www.patreon.com/christopherwlum as I'll be able to answer questions there. Given your interest in the topic, I'd love to have you as a Patron as I'm able to talk/interact personally with Patrons. Thanks for watching!

  • @WalkingDeaDJ
    @WalkingDeaDJ 7 หลายเดือนก่อน

    Jason-AE512: I'm still a little bit lost, but I will try my best. Thanks professor.

    • @ChristopherLum
      @ChristopherLum  7 หลายเดือนก่อน

      Let me know if you have any questions and I'm happy to help

  • @abcddd580
    @abcddd580 3 ปีที่แล้ว

    Thank you for this video - it makes sense when the angular rotations about each axis are applied sequentially. However, a MEMS gyro doesn't tell you "here are the 3, sequential euler angles since the last control loop iteration that you can put into a DCM." So, how could you derive a rotation matrix that takes you from the orientation at the previous timestep to the one in the current timestep (which can then be chained onto a running rotation matrix that starts at the initial body frame aka global frame)? I ask because a MEMS gyro returns instantaneous angular velocity rates about each of the 3 orthogonal body axes - right? Do we assume the angular displacements (angular-velocity-rates-reported-about-each-axis-of-the-gyro * dt) about the 3 body axes are infinitesimal and thus we can kinda-sorta call then the 3 euler angles as if they were applied sequentially to the orientation at the last timestep and form a rotation matrix that way?
    I just saw ur video titled "Computing Euler Angles: The Euler Kinematical Equations and Poisson’s Kinematical Equations" which can give me the time rate of change of the 3 euler angles given the current euler angles and the angular rates in the body frame as reported by the gyro. Can the rate of change of these euler angles by integrated independently of the other euler angles to get the total euler angles?

  • @florianm5556
    @florianm5556 ปีที่แล้ว

    Hello Sir as an enthusiast I would like to thanks you for those amazing videos !
    I have a question concerning the calculus of the Rotation matrix from v to b at 31:45:
    Since its a combinaison of linear transformations and because the product of several matrices are not commutative should not we were supposed to do : C1v.C21.Cb2 instead of C2b.C21.C1v ?
    Greetings from France !

    • @ChristopherLum
      @ChristopherLum  ปีที่แล้ว +1

      Hi,
      Thanks for reaching out, I'm glad you enjoyed the video. Unfortunately I'm unable to respond to questions on TH-cam due to the sheer volume of inquiries that I receive. That being said, I hope you'll consider supporting the channel via Patreon at www.patreon.com/christopherwlum or via the 'Thanks' button underneath the video as I'll be able to answer questions there. Given your interest in the topic, I'd love to have you as a Patron as I'm able to talk/interact personally with Patrons. Thanks for watching!
      -Chris

  • @sethwhittington28
    @sethwhittington28 2 ปีที่แล้ว

    AE512: interesting, these seem reminiscent of the rotation matrices that we derived as part of our homework assignment this week.

    • @ChristopherLum
      @ChristopherLum  2 ปีที่แล้ว

      Good observation, some of that comes into play here

  • @milesbridges3547
    @milesbridges3547 ปีที่แล้ว

    AA 516: To determine the positive right handed rotation do you point your thumb in the direction of the axis of rotation and the direction your fingers curl is a positive rotation?

  • @zachsmith1973
    @zachsmith1973 ปีที่แล้ว

    AA 516: How did you determine where to put the cosines and (negative) sines in C_2/1? Is it just the same proof from previous videos but about the y-axis instead of z? or is there a quicker way to determine?

    • @ChristopherLum
      @ChristopherLum  ปีที่แล้ว +1

      Zach, yes, this is a similar proof as the previous but about a different axis. Unfortunately there isn't a real shortcuts as during the derivation you'll see where the negative signs go (it can be different depending on which axis).

  • @harshantbaraiya4712
    @harshantbaraiya4712 2 ปีที่แล้ว

    just a thing missing is, given a rotated coordinate frame, how to find those tait bryan(euler) angles wrt to world coordinate frame. It basically includes defining a Nodal line(xy plane intersecting Y'Z' plane) and then finding those rotating angles based on the sequence (XYZ, YZX, etc). I am quite clear about Classic euler angles(ZYZ, XYX, ZXZ, YZY, YXY, XZX) but finding for tait bryan angles tend to haunt me.

  • @justinhendrick3743
    @justinhendrick3743 4 ปีที่แล้ว +1

    Helpful lecture, Professor, thank you! Though, in the section where we talked about expressing a DCM as a single rotation about some axis, I was surprised that we didn't compute the angle that you need to rotate about that axis. Is that coming in a later video? Or is deriving that angle left as an exercise for the reader?

    • @ChristopherLum
      @ChristopherLum  4 ปีที่แล้ว +2

      Justin, you are absolutely correct, your spidey sense should have been tingling. We don't have the mechanisms in place to directly compute that right now. However, once we get to quaternions, we will directly compute this. I just posted the video a few hours ago if you're chomping at the bit and wanted to get to this early.

  • @WarmWeatherGuy
    @WarmWeatherGuy 2 ปีที่แล้ว

    48:50 you can't use Atan2 to find out what quadrant you're in the way you did here. Atan2(sin(x), cos(x)) is not the same as Atan2(-sin(x), -cos(x)).

    • @WarmWeatherGuy
      @WarmWeatherGuy 2 ปีที่แล้ว

      Nevermind! Theta is always between -90° and +90° so cosine of theta will always be positive.

  • @gustavocadiz4422
    @gustavocadiz4422 2 ปีที่แล้ว

    Really nice video
    I wondering if we can get the code of Matlab, thanks in advance Mr.

    • @ChristopherLum
      @ChristopherLum  2 ปีที่แล้ว

      Hi Gustavo,
      I have code and other benefits available on my Patreon page at www.patreon.com/christopherwlum. Given your interest in the topic, I'd love to have you as a Patron as I'm able to talk/interact personally with Patrons. Thanks for watching!
      -Chris

  • @Colin_Baxter_UW
    @Colin_Baxter_UW 10 หลายเดือนก่อน

    AA516: Does the vector that we can rotate about to get to the final frame in one rotation have a name?

    • @ChristopherLum
      @ChristopherLum  10 หลายเดือนก่อน

      Sometimes this is called the principle axis of rotation

  • @emin86
    @emin86 2 ปีที่แล้ว

    Is there a sequence to rotate a frame from an NED to an ENU coordinate system? Or is it easier to just set them X' = Y, Y' = X, and Z' = -Z?

    • @ChristopherLum
      @ChristopherLum  2 ปีที่แล้ว

      Hi Emin,
      Thanks for reaching out, I'm glad you enjoyed the video. Unfortunately I'm unable to respond to questions on TH-cam due to the sheer volume of inquiries that I receive. That being said, I hope you'll consider supporting the channel via Patreon at www.patreon.com/christopherwlum as I'll be able to answer questions there. Given your interest in the topic, I'd love to have you as a Patron as I'm able to talk/interact personally with Patrons. Thanks for watching!
      -Chris

  • @trickboi3543
    @trickboi3543 2 ปีที่แล้ว

    thank you

  • @aj.k.j
    @aj.k.j 3 ปีที่แล้ว

    I'm a little lost here. What is the advantage of euler over dcm? Dcm being unitary means it can't go into a gimbal lock? If dcm doesn't have gimbal lock issue then what's the advantage of using quaternion?

  • @sorabhbordia4158
    @sorabhbordia4158 ปีที่แล้ว

    where can i find the code?

  • @dipakgalathiya2909
    @dipakgalathiya2909 3 ปีที่แล้ว

    Please make some videos on How to calculate orientation error using euler angles in Robotic arm.

    • @ChristopherLum
      @ChristopherLum  3 ปีที่แล้ว

      Thanks for reaching out. If you have questions or would like to request a video, I hope you'll consider supporting the channel via Patreon at www.patreon.com/christopherwlum. I'd love to have you as a Patron as I'm able to talk/interact personally with Patrons. Thanks for watching!

  • @hakeembalogun4526
    @hakeembalogun4526 3 ปีที่แล้ว

    Can you direct me to where we calculate the euler principal rotation angle?

    • @ChristopherLum
      @ChristopherLum  3 ปีที่แล้ว

      Thanks for reaching out, I'm glad you enjoyed the video. Unfortunately I'm unable to respond to questions on TH-cam due to the sheer volume of inquiries that I receive. That being said, I hope you'll consider supporting the channel via Patreon at www.patreon.com/christopherwlum as I'll be able to answer questions there. I'd love to have you as a Patron as I'm able to talk/interact personally with Patrons. Thanks for watching!

  • @poovarasang3715
    @poovarasang3715 9 หลายเดือนก่อน

    How to calculate, using plane equation to find roll pitch yaw angle

  • @sunnysarkar7643
    @sunnysarkar7643 8 หลายเดือนก่อน

    AE512: Why do we see rotations that only cover 2 axis in industry, like a xyx or a zyz ratoation

  • @ibrahimallafi1460
    @ibrahimallafi1460 3 ปีที่แล้ว

    Thank you Prof, Please, could you send me the Matlab code? Thank you

  • @aaroncapozella5365
    @aaroncapozella5365 10 หลายเดือนก่อน +1

    Here for AA 516

  • @AndersonYuan-j7g
    @AndersonYuan-j7g 10 หลายเดือนก่อน

    AA 516: Celeste Yuan

  • @EigenA
    @EigenA 3 ปีที่แล้ว +3

    The three people who disliked this video failed their courses.

  • @9700784176
    @9700784176 ปีที่แล้ว

    THIS IS FOR MY REF NOTE ONLY AND NOT A COMMENT FOR THE ABOVE VIDEO :parallelly go through the concepts of Inverse, singularity, eigen vector and eigen values concepts of a matrix, what are they how they are usefull in real world scenarios

    • @9700784176
      @9700784176 ปีที่แล้ว

      EIGEN value concepts are stored in PID playlist, inverse matrx concpt as pdf in PID in Ddrive folder

  • @ajayjoseph4498
    @ajayjoseph4498 3 ปีที่แล้ว +1

    I think there is a mistake here. Here you mention th-cam.com/video/GJBc6z6p0KQ/w-d-xo.html the rotation sequence is in ZYX sequence but you have multiplied in wolfram in XYZ sequence. The answer I got multiplying ZYX sequence is different to yours.

    • @eliech6411
      @eliech6411 3 ปีที่แล้ว

      Yes he did the multiplication as it's a "fixed" euler sequence rotation. I don't know if he's using a different convention but i guess he also made a mistake in Mathematica when defining the rotation matrices, the (-) sign in front of the sin(angle) in all matrices is not placed in the correct position.

  • @LoganCTanner
    @LoganCTanner 2 ปีที่แล้ว

    tyyyyyyyyy
    :)

    • @ChristopherLum
      @ChristopherLum  2 ปีที่แล้ว +1

      Hi Logan,
      Thanks for the kind words, I'm glad you enjoyed the video. If the find the these videos to be helpful, I hope you'll consider supporting the channel via Patreon at www.patreon.com/christopherwlum. Given your interest in this topic, I'd love to have you a as a Patron as I'm able to talk/interact personally with all Patrons. Thanks for watching!
      -Chris

  • @marcosszmania5874
    @marcosszmania5874 2 ปีที่แล้ว

    AE 512: Visualizing it in Mathematica and Matlab really helps, thanks! Ps. The notations make no sense -.- petition to change it.

    • @ChristopherLum
      @ChristopherLum  2 ปีที่แล้ว

      Marcos, which part of the notation is confusing? We'll continue using this notation as it is fairly widely adopted in GNC. Let me know if there is something we can do to make it more palatable.

    • @marcosszmania5874
      @marcosszmania5874 2 ปีที่แล้ว

      @@ChristopherLum I was joking haha, but it is confusing the notation don't follow the order ofrotation, it is kinda backwards.

  • @edengebretsadik7793
    @edengebretsadik7793 7 หลายเดือนก่อน

    AE52

  • @decisive2242
    @decisive2242 3 ปีที่แล้ว

    oh my god i just wanted to make a script to make a block rotate