braintruffle
braintruffle
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Master the Complexity of Spaceflight
Think of Kerbal Space PROBABILITY.
Extended video incl. chapter 5 - www.patreon.com/braintruffle
Topics
-----------
• Interplanetary transport network
• Manifold hopping
• Weak stability boundary
• Lagrange point orbit bifurcations: Lyapunov - Halo - etc.
• Low-energy transfers: 4-/3-body model - effective potential - Coriolis force - zero-velocity curves
• Phase spaces (n- vs. 1-particle)
• Oberth effect via phase space in 1D & 2D: why parabolas are Oberth-efficient
• Probability vs. reachability
• Ray vs. grid tracing
• Symplectic time integration
• Continuous- vs. non-continuous firing
Timetable
----------------
00:00 - INTRO: Why probability tracing?
00:46 - What makes it a tricky problem?
3:50 - Why ray tracing is flawed
4:44 - A better 4D grid tracer?
8:31 - Probability vs. reachability
9:55 - My solution strategy
12:45 - SOLUTION I: Continuous firing problem
15:15 - A new problem: non-continuous firing in phase space
17:29 - Parabolic approaches beat ellipses and hyperbolas: Oberth-efficiency
19:09 - Low-energy transfers: 3-body model - effective potential - Coriolis force - zero-velocity curves
22:43 - Lagrange points - periodic orbits - manifolds
24:57 - Manifold hopping - weak stability boundaries
27:59 - Interplanetary transport network - bifurcations of periodic orbits (Halo, Lyapunov, etc.)
29:56 - SOLUTION II: Non-continuous firing problem
Thanks to my Patreon supporters
www.patreon.com/braintruffle
-----------------------
Patrick Gibson
Houston Lucas
Daniel Altmann
... and all my patrons!
Thank you for watching!
Torsten
Oberth and out
มุมมอง: 272 158

วีดีโอ

The simplest flow physics that still makes sense
มุมมอง 130Kปีที่แล้ว
A vivid introduction to fluid simulation. Topics covered: rarefied gas dynamics, continuum gas dynamics, fluid motion descriptions & coordinates (spatially fixed (Eulerian), material-fixed (Lagrangian), arbitrary), reducibility aspects, motivation on modeling unresolved flow structures, ensemble averages of microscopically and macroscopically varying data, usefulness of the modeling hierarchy, ...
Running back in time is *not* recalling the past
มุมมอง 57K2 ปีที่แล้ว
This follow-up discusses fluid simulation related information reduction in view of time irreversibility of the governing evolution equations. We gain an overview of a statistical perspective on the microscopic motion and highlight the implied time irreversibility as well as the exclusion of anti-dissipation. Topics covered/used: Kinetic Theory of Gases, Boltzmann Equation, One-Particle Phase Sp...
There is fluid flow *without* many particles
มุมมอง 184K2 ปีที่แล้ว
This is the second part in a series about Computational Fluid Dynamics where we build a Fluid Simulator from scratch. We derive the Macroscopic Perspective (Continuum) from the Microscopic Perspective (Molecules) covering: Collective Molecular Behavior, Local (Non-)Equilibria, Classical Statistical Mechanics, Rarefied Gas Dynamics, and Continuum Gas Dynamics. The Macroscopic Perspective provide...
Fluid dynamics feels natural once you start with quantum mechanics
มุมมอง 2.1M3 ปีที่แล้ว
This is the first part in a series about Computational Fluid Dynamics where we build a Fluid Simulator from scratch. We highlight the Microscopic Perspective on Quantum Mechanics, Molecular Dynamics, and the Kinetic Theory of Gases that underlies and justifies Fluid Simulation Formulations in the first place. The Microscopic Perspective provides the ground for the next part where we focus on th...

ความคิดเห็น

  • @Mimi-up5ro
    @Mimi-up5ro วันที่ผ่านมา

    Love this. Thank you!💖✨

  • @user-nx7xx7rf1h
    @user-nx7xx7rf1h วันที่ผ่านมา

    quantum bs....

  • @HitmanR97
    @HitmanR97 วันที่ผ่านมา

    Not bad man, thanks for sharing 🫡

  • @DerSolinski
    @DerSolinski วันที่ผ่านมา

    Soooo... What he's telling me is I can shoot at the moon... Now where is my BFG 10000...

  • @koiyujo1543
    @koiyujo1543 2 วันที่ผ่านมา

    I'm very confused what is this? is this orbital mechanics?

  • @rickybloss8537
    @rickybloss8537 2 วันที่ผ่านมา

    Accurate abstraction of my genetics 😏 6:30

  • @zombieregime
    @zombieregime 2 วันที่ผ่านมา

    Gravity slingshots and aerobraking are good tricks to keep in mind. Just avoid lithobraking....its very hard on the hardware.....

  • @Person-jw7mk
    @Person-jw7mk 2 วันที่ผ่านมา

    Was the voice AI generated? The pronunciation is all over the place and the words have too much science-sounding jargon in them.

  • @stormreach1234
    @stormreach1234 3 วันที่ผ่านมา

    After your explanations about the efficiency of changing energy levels ex. capture burns, suddenly the lines on the graphs made so much more sense! They also make 1000x more sense now playing KSP with Principia installed and looking at the exact same lines for the Kerbol system

  • @unflexian
    @unflexian 3 วันที่ผ่านมา

    amazing ! :)

  • @joseywales6168
    @joseywales6168 4 วันที่ผ่านมา

    This is an awesome visualization and overview of orbital dynamics

  • @Astroponicist
    @Astroponicist 4 วันที่ผ่านมา

    Thank you for your simulations they are very helpful for my conceptual work on the Flow Chart of Exodus. This is where I am working to write an over view of how to arrange the necessary logistics of encouraging 100 million people per year to move permanently to space by describing how they can have High standards of living & a large selection of economic & adventure opportunities.

  • @matveyshishov
    @matveyshishov 4 วันที่ผ่านมา

    This is beautiful! You make it look so obvious! Thank you!!!

  • @KHamurdik
    @KHamurdik 4 วันที่ผ่านมา

    who are you and why your videos are so good

  • @MCRuCr
    @MCRuCr 5 วันที่ผ่านมา

    this is an amazing channel, pure educational gold. It gives me so much inspiration about information theory, intelligence and the true nature of our reality

  • @FootnotesToPlato
    @FootnotesToPlato 5 วันที่ผ่านมา

    What software did you use for the visuals

  • @AnkhArcRod
    @AnkhArcRod 10 วันที่ผ่านมา

    Ok. Now do turbulence.

  • @aidanokeeffe7928
    @aidanokeeffe7928 10 วันที่ผ่านมา

    Subscribed. This is so very thorough.

  • @SuperExodus13
    @SuperExodus13 11 วันที่ผ่านมา

    I like this video but when you say "reversing" it initially confuses me. Obviously, if you could magically pause a flow and reverse all the particles, that new flow cannot defy laws of thermodynamics. But that is not usually what reversal means. If you were to simply run back the clock and track the particles in a simulation (not the real world) they would go back to the initial conditions. Anyway, thank you for the very insightful video.

  • @pubguc6771
    @pubguc6771 11 วันที่ผ่านมา

    T 0:07

  • @user-sj5lc3uw2i
    @user-sj5lc3uw2i 15 วันที่ผ่านมา

    fluid dynamics stuff is complicated but i think its so fascinating since i get to see it all the time in so many different circumstances

  • @kirilrotan7653
    @kirilrotan7653 16 วันที่ผ่านมา

    If the Scholl program was at this rate it would take weeks, not years. (At least theoretical part)

  • @kirilrotan7653
    @kirilrotan7653 16 วันที่ผ่านมา

    It is the best animation quality I have seen om youtube! Amazing!

  • @victorbayer4879
    @victorbayer4879 16 วันที่ผ่านมา

    we would love the code :D

  • @waffles7858
    @waffles7858 16 วันที่ผ่านมา

    gdamn man your visualisations are beautiful

  • @cosmicwarriorx1
    @cosmicwarriorx1 16 วันที่ผ่านมา

    Honestly this was really difficult to follow. I tried hard and my level best. But I must say the effort you have put shows and screams in energy frame. 🙌🙌🙌

  • @jdasfjjtdou5501
    @jdasfjjtdou5501 17 วันที่ผ่านมา

    ...however, I would watch it from end to beginning...

  • @Sigma_Integral
    @Sigma_Integral 17 วันที่ผ่านมา

    Hi Braintruffle, I'm a big fan of your channel from South Korea, and I'm particularly fascinated by the visualization software you use to create your captivating videos. I'm an enthusiastic student who's deeply passionate about learning, and I would be incredibly grateful if you could share the name of the software you use. Your videos have opened up new perspectives in science for me, and they've played a significant role in enhancing my critical thinking skills. I'm eagerly looking forward to more of your insightful content in the future. Thank you for your time and consideration.

  • @ossiedunstan4419
    @ossiedunstan4419 18 วันที่ผ่านมา

    Trying to Fitting sceince to fit your biasses , Is what religion does. You gave your opinion that is all.

  • @Jon-cw8bb
    @Jon-cw8bb 19 วันที่ผ่านมา

    This couldve been aboit 5 videos!

  • @Jon-cw8bb
    @Jon-cw8bb 19 วันที่ผ่านมา

    This goes so quickly - wowww

  • @theholygrass19
    @theholygrass19 19 วันที่ผ่านมา

    How to build a fluid simulator: Step one: Create the universe

  • @TheCollectiveHexagon
    @TheCollectiveHexagon 19 วันที่ผ่านมา

    5:56 killed all the "observing dictates reality!1!!11!!!" bs ppl always talk about

  • @erdemcanaz6394
    @erdemcanaz6394 19 วันที่ผ่านมา

    Thank you for your time. I am amazed

  • @khanch.6807
    @khanch.6807 19 วันที่ผ่านมา

    I like how we can find patterns in the infinite chaos.

  • @dzodzownica083
    @dzodzownica083 19 วันที่ผ่านมา

    Hi, first of all, this is a very fascinating video. Thank you for this level of production quality. The topic discussed is a bit out of my area of expertise (bachelor in general computer science currently working on masters in data science). But i do love to venture out of my comfort zone and learn anything about anything. Without a second of hesitation I admit that most of the discussed theory flew over my head (Although i did decide to challenge myself to grasp the topic at hand so i hope this is only temporarily true), but the bits and pieces that i believe have clicked for me did make me come up with a couple of ideas. Especially the part around 10 minutes about the computational complexity of simulating the behaviour of the particle wave function (or at least i believe thats the topic. Im fully prepared to learn that im spewing nonsense). I was wondering if you've thought about using generative ai to run such simultations. Of course for that it would be necessary to obtain data coming from actual simultations ( and heres my question, did anyone ever actually run such simulations on some what i assume would be super computers, or are they entirely infeasible to a point where noone ever even tried their hand at them ). If we fed a net with the current state of all the cells and trained it to predict the states in the next frame over a large body of data, obtaining a sufficiently accurate simulation engine seems quite feasible. But to summarise, this post is more of a question than a suggestion. Im mostly looking for a sanity check for my idea.

    • @dzodzownica083
      @dzodzownica083 19 วันที่ผ่านมา

      Then if we managed to achieve a sufficiently accurate engine for small dimensions of simulation space ex. 1000x1000 cells. We could try to scale the simulation by performing something similiar to a convolutional pass using the obtained engine. I mean running the simulation with the network on 1000x1000 patches of the higher dimensional simulation space with a given stride and combining the patches. The most naive way would be to calculate the mean value of a given cells parameters from all of the patches that contain said cell (most likely there would be a better way of doing that). This would significantly slow down the rendering speed but the aquired outputs could be used to train another network that could take as input higher dimensional data and train it using the arbitrary data obtained through simulations (the inconsistencies of the initial network would then be magnified of course but im thinking more in terms of "it would be fun to see what happens")

  • @ripper132212
    @ripper132212 19 วันที่ผ่านมา

    Fantastic project overview video. I think people misunderstand what the purpose of the vid is. Very cool information in this and amazing work.

  • @blehprojects5776
    @blehprojects5776 20 วันที่ผ่านมา

    Sell some of those diagrams on a tshirt id buy it

  • @hummesse
    @hummesse 21 วันที่ผ่านมา

    This is insanely well done. I wish that you and the likes of 3blue1brown would seriously consider developing the replacement for engineering/math/science textbooks. Surely these videos are a huge part of the puzzle, but I feel like even more could be done to make it something that can be used for study

  • @dann_y5319
    @dann_y5319 21 วันที่ผ่านมา

    One of the best videos I've seen

  • @zippysqrl
    @zippysqrl 22 วันที่ผ่านมา

    funny that the part with the box of swirls is the most replayed, it's very pretty. I'd love to play around with that myself, just watching the swirls and chaotic flow.

  • @janusz_pies3194
    @janusz_pies3194 22 วันที่ผ่านมา

    A whiff of spice would help

  • @mohammadsaeidi913
    @mohammadsaeidi913 22 วันที่ผ่านมา

    The most valuable content I've come across this year, such a great channel, keep going, CONGRATS!

  • @joshuadev4960
    @joshuadev4960 22 วันที่ผ่านมา

    Alternative title: Quantum mechanics is so hard it makes fluid mechanics look easy.

  • @Sirmenonottwo
    @Sirmenonottwo 23 วันที่ผ่านมา

    I am working on a project that is using many if not all of these concepts but for rigid body and organic simulations. I don't want to say too much but I would like to know more.

  • @Songfugel
    @Songfugel 23 วันที่ผ่านมา

    If anyone asks about the difficulty of fluid simulations, just start with the title "they will feel natural if you start with Quantum mechanics" and they should get the point immediately 😂

  • @TheBooker66
    @TheBooker66 23 วันที่ผ่านมา

    Absolutely extraordinary video! The graphics are great, the naration is great (though it's also great that you wrote subtitles, for certain specific words), and the explanations are incredible. I saw this video a few days ago, at night, on my recommend section but thought "This looks interesting, but I really don't have the brainpower for this at night" and boy am I happy I got recommended it again, this time at a better time of day. I will for sure go on to watch the next of the series, and you've earned yourself a sub.

  • @grumpysavior
    @grumpysavior 24 วันที่ผ่านมา

    to the people complaining about the video being hard to follow: have you considered that his primary goal might not be making a video that's understandable to the largest number of people possible? sometimes it feels like almost all of youtube is just optimized for maximal viewer retention and honestly it's really refreshing to see a video that i have to struggle to keep up with. of course the dude is hard to understand; he clearly knows 100x as much as i do about what he's talking about and he's probably significantly smarter than me, too don't listen to the people whining imo; just keep making incredible videos the way you already do. your CFD videos are some of my all time favorite videos ive ever seen on youtube

  • @homo.shepien
    @homo.shepien 24 วันที่ผ่านมา

    This channel is such a find!

  • @asherburns2953
    @asherburns2953 24 วันที่ผ่านมา

    Noice