Earlier quoted context omitted.
Much to my pedantic horror upon reading, they don't need the solution to a three body problem, but a four body problem!
You sure about that? The fourth body, being so small, can't really effect the motion of the other three; however if you have the evolution of the first three then you can determine the motion of the fourth.
Scientists find an effective solution for the three-body problem
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Re: Scientists find an effective solution for the three-body problem
#12Re: Scientists find an effective solution for the three-body problem
#13Re: Scientists find an effective solution for the three-body problem
#14When they say motions of three bodies are random and unpredictable, I assume they mean not able to be modeled with a closed form equation? Seems like the motions would still be entirely deterministic — could still predict the locations of the bodies computationally, given your computer computes faster than reality (at least for a reality with only 3 bodies), no?
So theoretically speaking, they are deterministic, but practically they are unpredictable.
Re: Scientists find an effective solution for the three-body problem
#15When they say motions of three bodies are random and unpredictable, I assume they mean not able to be modeled with a closed form equation? Seems like the motions would still be entirely deterministic — could still predict the locations of the bodies computationally, given your computer computes faster than reality (at least for a reality with only 3 bodies), no?
Re: Scientists find an effective solution for the three-body problem
#16Re: Scientists find an effective solution for the three-body problem
#17Re: Scientists find an effective solution for the three-body problem
#18When they say motions of three bodies are random and unpredictable, I assume they mean not able to be modeled with a closed form equation? Seems like the motions would still be entirely deterministic — could still predict the locations of the bodies computationally, given your computer computes faster than reality (at least for a reality with only 3 bodies), no?
Re: Scientists find an effective solution for the three-body problem
#19When they say motions of three bodies are random and unpredictable, I assume they mean not able to be modeled with a closed form equation? Seems like the motions would still be entirely deterministic — could still predict the locations of the bodies computationally, given your computer computes faster than reality (at least for a reality with only 3 bodies), no?
They would be deterministic. But they are unpredictable. Minuscule fluctuations (coming from influence of some much smaller bodies, that are not in the model, or approximations in calculations) can lead to dramatic differences in the outcome. So theoretically speaking, they are deterministic, but practically they are unpredictable.
I mean, you can certainly still predict to a certain (probably high) level of accuracy, but ultimately that motion is also influenced by factors outside your model.
Re: Scientists find an effective solution for the three-body problem
#20Earlier quoted context omitted.
Yes, they are throwing a party in Australia. Everyone is invited.
Does that mean we finally get to know how they look like?