Let's reproduce the calculations from Interstellar

I hope you enjoy this long video, it took a long time to make but I'm pretty happy with how the simulations turned out! If you'd like to take a look at the codes for the simulations (those shown at 5:56 and 13:35), a basic version of each is available on my shadertoy page : www.shadertoy.com/user/aroussel Several people were also wondering about the first calculation if it was okay to estimate the distance to travel by a straight line : while it is definitely not a realistic trajectory, it is still good for yielding a quick order of magnitude. I wanted to start the video with a very simple calculation, similar to the rough estimates that are used in astrophysics. For those interested in the full calculation, in reality the trajectory would more likely resemble a half-ellipse (see Hohmann transfer), which would be quite excentric due to how far Saturn is from the Sun, and would therefore look pretty similar to a straight line. If we calculate the exact length of this half-ellipse in the heliocentric frame we get 2 billion km, which is 35% off from the result using the straight line. It is of course quite off if we want a precise result, but it is okay in this context since we only wanted to check whether or not the speed of the ship was absurd and unrealistic.

Commenting for algorithm. Shame about the copyright claim but hope this re-upload will still reach as many people as possible, because the visualisations and the way you guide the viewers through the problems is simply sublime.

This is the most insane video I've seen on this platform. The amount of calculations, accurate simulations - and the simplicity in presentation is phenomenal.

The amount of work you put into making this video is phenomenal. The visuals too were absolutely fantastic. A small gesture of appreciation for all the effort gone in making this masterpiece.

As someone doing his PhD on black holes, I really love your videos. They are really great in helping visualise things. I also love that your videos don't compromise on the actual physics.

Sucks about the copyright, this video was really well made and interesting to contrast interstellar physics vs more accurate calculations.

When Veritasium talked about light cones I immediately thought of you and I was pleasantly surprised to see you on that video! This channel is a gift of easy to understand education and this video was nothing but breathtaking

I'm doing a PhD in this field, and I aspire to have your communication skills and physics knowledge. And wow the simulations and calculations are breathtaking. You are an inspiration to myself and many others, thanks!

In the internet where stupid fake science run rampant, you're one of the few who actually put in the work and educate viewers. Kudos, subscribed!

Literally, this is the most underrated channel on the internet. i just rewatched the reupload :D

The visuals of blackhole with higher temperature took my breath. So beautiful. Thinking about percieving not an object in space, but an event in time (as said in Veritasium video) with such breathtaking visuals is something beyond comprehension yet somehow poethic.

If I am to trust the "uploaded x hours ago", then this video was literally uploaded within 30 mins of me finishing watching Interstellar. Timing literally couldn't've been better lol

This video is not youtube worthy!! I don't understand much about physics (especially all the formulas), but the visualisations are outstanding. thank you <3

Glad to watch it again. I gotta say, nolan should have kept the black hole (and trinity test in Oppenheimer) as realistic as possible

2014???? It's already a decade ago??

This video is incredibly underrated. It's one of the most remarkable ones I've ever come across on YouTube. The script, editing, and dedication displayed in it are simply enviable.

Well (same as last time) I'm glad I watched a commentary review about the realness of the visuals of a popular space movie. Good work.

the music used in 15:03 is "Voyage à travers l'espace temps"

This video increases my respect for interstellar even more. And even more praises to the creator for such a detailed explanation and calculations.

This continues to be my favourite YouTube channel. The visualizations are breathtaking now, but they are only beginning to catch up to the level you are on regarding knowing exactly how to describe things to your audience to bring topics into grasp which other educators have failed to breakdown in such an accessible way. I have learned so many things from you that I figured I would never learn without an in depth understanding of the math. Thank you so much.