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
Переглядів: 284 493

Відео

The simplest flow physics that still makes sense
Переглядів 131 тис.Рік тому
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
Переглядів 57 тис.2 роки тому
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
Переглядів 186 тис.2 роки тому
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
Переглядів 2,1 млн3 роки тому
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...

КОМЕНТАРІ

  • @user-dc4ok8im3u
    @user-dc4ok8im3u День тому

    I watched this in 2x speed, and it somehow still managed to be unimaginably rambly and boring. get to the point.

  • @starrmont4981
    @starrmont4981 2 дні тому

    Unfortunately, the neurochemical intricacies of my brain's response to your video are too computationally complex to communicate, so I'll have to reduce the information down to a few words: Great work!

  • @powerdust015lastname4
    @powerdust015lastname4 3 дні тому

    wow this video looks amazing! if only i could understand any of it...

  • @honpakkoh4476
    @honpakkoh4476 3 дні тому

    bro’s friend is going to starve to death before reaching LBO 😭

  • @clavnico
    @clavnico 4 дні тому

    Please make longer video with more in depth explanation for us dumb people XD

  • @Astroponicist
    @Astroponicist 5 днів тому

    one of the best videos on the subject. the software he uses should be adapted to an interactive toy for toddlers to develop their neural pathways for this subject in their deep neural functions.

  • @MacElMasMancoDeTodos
    @MacElMasMancoDeTodos 5 днів тому

    Spaceflight Simulator/Kerbal Space Program players when their rockets dont fall apart, explaining how they reached orbit but have no fuel left:

  • @rafaelgonzalez4175
    @rafaelgonzalez4175 7 днів тому

    Fluid dynamics on the quantum level? I am wondering if the Mobius strip is better used here? None the less where is all this super composing engineering going? Biomechanics. Altering creation? I hope not for Artificial intelligence.

  • @ottolehikoinen6193
    @ottolehikoinen6193 7 днів тому

    I keep on flipping from the abstract consepts to practical consepts as I watch and listen. Maybe that's intended and represents the dual nature of things, static solid - fluid dynamic. Space could be defined by the amount of particle collisions, as could the generated vacuums on earth. Pressured gas behaves differently from unbound gas. Really good explanations, thank you.

  • @PrabhakaranNair-sw6ir
    @PrabhakaranNair-sw6ir 7 днів тому

    Oh ! I can't comprehend it all !

  • @gator1984atcomcast
    @gator1984atcomcast 8 днів тому

    What’s wrong with Stocks Equasion?

  • @gator1984atcomcast
    @gator1984atcomcast 8 днів тому

    So why aren’t all wings laminar flow?

  • @theclerk3163
    @theclerk3163 9 днів тому

    Need to get a few Runes then I’ll come back to this

  • @MaDreameuse
    @MaDreameuse 9 днів тому

    That was simply amazing. I'll watch it a few times more to get the whole thing, but that's alright.

  • @mephisto8101
    @mephisto8101 9 днів тому

    Came here from Kerbal Space Program. Mathematical instructions unclear, adding more boosters... But seriously, we seem to have come a long way since the Apollo program in calculating orbits.

  • @someasiandude4797
    @someasiandude4797 10 днів тому

    finally, an excuse for all our computers we definitely don’t use for the dumbest reasons

  • @Kaizzer
    @Kaizzer 10 днів тому

    OUTSTANDING PRESENTATION! I've never seen anything THIS beautiful on a free medium!

  • @jonathanmvkhai
    @jonathanmvkhai 10 днів тому

    Everything goes over top of my head but... Nicely done! Makes me appreciate Math and Computer Simulation more

  • @matizieu
    @matizieu 10 днів тому

    Prior to watching this video, I was confident that Starfleet Academy courses were a work of science fiction. I have now been persuaded otherwise. I'm not exactly an analytical slouch, but this blew my mind. I think I would genuinely need a few weeks (months? years?) of workshops and lectures to unpack this. Marvelous graphics, and I concur with the comment below that I could see future generations of brilliant minds needing to learn how to intuitively grasp these concepts before using high-powered AI-assisted quantum computing to solve (where brute force is required and generations of more elegant algorithmic tuning can't handle the computation more efficiently, anyway!) Incredible work.

  • @FromLake
    @FromLake 10 днів тому

    Thank you for this video!

  • @Mimi-up5ro
    @Mimi-up5ro 12 днів тому

    Love this. Thank you!💖✨

  • @user-nx7xx7rf1h
    @user-nx7xx7rf1h 12 днів тому

    quantum bs....

  • @HitmanR97
    @HitmanR97 12 днів тому

    Not bad man, thanks for sharing 🫡

  • @DerSolinski
    @DerSolinski 12 днів тому

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

  • @koiyujo1543
    @koiyujo1543 13 днів тому

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

  • @rickybloss8537
    @rickybloss8537 13 днів тому

    Accurate abstraction of my genetics 😏 6:30

  • @zombieregime
    @zombieregime 13 днів тому

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

  • @Person-jw7mk
    @Person-jw7mk 13 днів тому

    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 14 днів тому

    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 14 днів тому

    amazing ! :)

  • @joseywales6168
    @joseywales6168 15 днів тому

    This is an awesome visualization and overview of orbital dynamics

  • @Astroponicist
    @Astroponicist 15 днів тому

    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 15 днів тому

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

  • @KHamurdik
    @KHamurdik 15 днів тому

    who are you and why your videos are so good

  • @MCRuCr
    @MCRuCr 16 днів тому

    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 16 днів тому

    What software did you use for the visuals

  • @AnkhArcRod
    @AnkhArcRod 21 день тому

    Ok. Now do turbulence.

  • @aidanokeeffe7928
    @aidanokeeffe7928 21 день тому

    Subscribed. This is so very thorough.

  • @SuperExodus13
    @SuperExodus13 22 дні тому

    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 22 дні тому

    T 0:07

  • @user-sj5lc3uw2i
    @user-sj5lc3uw2i 26 днів тому

    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 27 днів тому

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

  • @kirilrotan7653
    @kirilrotan7653 27 днів тому

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

  • @victorbayer4879
    @victorbayer4879 27 днів тому

    we would love the code :D

  • @waffles7858
    @waffles7858 27 днів тому

    gdamn man your visualisations are beautiful

  • @cosmicwarriorx1
    @cosmicwarriorx1 27 днів тому

    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 28 днів тому

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

  • @Sigma_Integral
    @Sigma_Integral 28 днів тому

    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 29 днів тому

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

  • @Jon-cw8bb
    @Jon-cw8bb Місяць тому

    This couldve been aboit 5 videos!