Earlier quoted context omitted.
Thank you. That was wonderful! I couldn't figure out from the linked X (formerly Twitter) post what it was all about. I think it's time for the good samaritans of HN to post nitter links for every X (formerly Twitter) post. Also, is there some extension which I could add in the browser which would show the corresponding Nitter link?
Most of the time you can just replace twitter.com with nitter.net or nitter.it but when these instances are down or blocked you can use other instances listed here: https://github.com/zedeus/nitter/wiki/Instances But as the other commenter said Libredirect is the way to go: https://libredirect.github.io/
Something peculiar in my 2yo's bedroom led me to a revelation about our universe
41–50 of 53 posts
Re: Something peculiar in my 2yo's bedroom led me to a revelation about our universe
#42It's a thread, and mere mortals without accounts see only the OP (OT?) I'm starting to get the hang of nitter.net and here's the thread. https://nitter.lanterne-rouge.info/latifnasser/status/175095... Other nitter instances were rate-limited or down. This one worked for me. It's actually interesting.
I find it amusing that in this age of information technology, we still struggle to share a small page of text.
Re: Something peculiar in my 2yo's bedroom led me to a revelation about our universe
#43Non-x link?
Re: Something peculiar in my 2yo's bedroom led me to a revelation about our universe
#44> Anyway, I think this is so cool because everything else on the solar system map is so regular and orderly, but not quasi-moons! Nothing in the solar system is regular and orderly. It's chaotic because 3-body problems are almost always chaotic, and >3-body problems are always chaotic. Our solar system is a hundred-body problem (or more depending how small a "body" you want to include). So why then does our solar sys…
We must have some idea where the planets were back in the time of dinosaurs. I mean, Earth was still approximately the same distance from the Sun, and presumably still #3 right?
Re: Something peculiar in my 2yo's bedroom led me to a revelation about our universe
#45Earlier quoted context omitted.
We must have some idea where the planets were back in the time of dinosaurs. I mean, Earth was still approximately the same distance from the Sun, and presumably still #3 right?
Probably the order of the planets was the same but we can't be sure of the eccentricity of their orbits back then. We do know Saturn probably didn't have rings back then.
I'm trying to figure out what this is supposed to mean. Of course we don't know exactly, but also of course we have some idea.
Like, could Venus have had an eccentric orbit that extended further from the Sun than Earth or closer than Mercury? Could it have had a moon?
Re: Something peculiar in my 2yo's bedroom led me to a revelation about our universe
#46Earlier quoted context omitted.
Probably the order of the planets was the same but we can't be sure of the eccentricity of their orbits back then. We do know Saturn probably didn't have rings back then.
"We have no idea where Venus will be exactly [ten] million years from today." I'm trying to figure out what this is supposed to mean. Of course we don't know exactly, but also of course we have some idea. Like, could Venus have had an eccentric orbit that extended further from the Sun than Earth or closer than Mercury? Could it have had a moon?
Re: Something peculiar in my 2yo's bedroom led me to a revelation about our universe
#47> Anyway, I think this is so cool because everything else on the solar system map is so regular and orderly, but not quasi-moons! Nothing in the solar system is regular and orderly. It's chaotic because 3-body problems are almost always chaotic, and >3-body problems are always chaotic. Our solar system is a hundred-body problem (or more depending how small a "body" you want to include). So why then does our solar sys…
Re: Something peculiar in my 2yo's bedroom led me to a revelation about our universe
#48Re: Something peculiar in my 2yo's bedroom led me to a revelation about our universe
#49Earlier quoted context omitted.
Thank you. That was wonderful! I couldn't figure out from the linked X (formerly Twitter) post what it was all about. I think it's time for the good samaritans of HN to post nitter links for every X (formerly Twitter) post. Also, is there some extension which I could add in the browser which would show the corresponding Nitter link?
Most of the time you can just replace twitter.com with nitter.net or nitter.it but when these instances are down or blocked you can use other instances listed here: https://github.com/zedeus/nitter/wiki/Instances But as the other commenter said Libredirect is the way to go: https://libredirect.github.io/
Re: Something peculiar in my 2yo's bedroom led me to a revelation about our universe
#50> Anyway, I think this is so cool because everything else on the solar system map is so regular and orderly, but not quasi-moons! Nothing in the solar system is regular and orderly. It's chaotic because 3-body problems are almost always chaotic, and >3-body problems are always chaotic. Our solar system is a hundred-body problem (or more depending how small a "body" you want to include). So why then does our solar sys…
What's the definition of chaos here? I thought chaos implied the measurement error growing quickly during propagation, but here it looks like it's growing pretty slowly. In what way is this more chaotic than the movement of a single accelerating body (where the error grows linearly with time)?
In two-body problems, this infinite recursion converges to a closed-form solution, which means we can just write down the solution to the differential equations that describe the system's state and predict it at any time in the future.
Unfortunately there are no true two-body orbits in the universe. And with 3 and greater numbers of bodies that pleasant closed-form convergence doesn't happen. You get sensitive dependence to initial conditions (SDIC), with faster-than-linear divergence, and you can't solve the differential equations: You have to integrate them numerically.
The time horizon over which this divergence happens for planets is long relative to the time horizons we care about, but it's still SDIC and it's faster than linear. The same thing happens with the weather (the "butterfly effect") but there the time horizon for divergence (the Lyapunov time) is short enough that we humans can easily notice it.