What is the Three-Body Problem in Physics and Why is it Considered Unsolvable?

  • Thread starter Thread starter dipole
  • Start date Start date
  • Tags Tags
    Odes Physics
AI Thread Summary
The discussion centers on the challenge of identifying ordinary differential equations (ODEs) in physics that lack analytical solutions, with a specific focus on the Three-Body Problem. While examples like the pendulum and coupled springs are mentioned, the conversation seeks more complex instances of unsolvable ODEs. The Three-Body Problem is highlighted as a prime example, where specific solutions exist, but a general solution remains elusive. The topic emphasizes the significance of the Three-Body Problem in classical mechanics and its implications for understanding complex systems. Overall, the quest for unsolvable ODEs in physics continues to intrigue researchers and enthusiasts alike.
dipole
Messages
553
Reaction score
151
Hi, I'm trying to come up with some examples of ODEs (not PDES) in physics that are unsolvable analytically, and for some reason I'm drawing a blank.

There are a few obvious examples from classical mechanics such as a pendulum and coupled springs etc... but beyond that I can't seem to recall coming across any.

Can anyone think of some ODEs that describe interesting physics and whose derivation can be understood without too much background knowledge?
 
Physics news on Phys.org

Thread 'Need help understanding particle physics and quantum physics'

So I know that electrons are fundamental, there's no 'material' that makes them up, it's like talking about a colour itself rather than a car or a flower. Now protons and neutrons and quarks and whatever other stuff is there fundamentally, I want someone to kind of teach me these, I have a lot of questions that books might not give the answer in the way I understand. Thanks
View full post »

Similar threads

B Why is the 3 body problem unsolvable? And what will happen if someone solves it?
Replies
26
Views
508
Guidance on Pursuing a Master's in Theoretical Particle Physics
Replies
35
Views
5K
I Simple explanation of three body problem
Replies
1
Views
3K
Exploring the Frontiers of Physics: An Amateur Scientist's Journey
Replies
1
Views
1K
Need Suggestions for Problems Regarding Strings in Physics
Replies
6
Views
2K
Working electrical engineer transitioning to physics?
Replies
5
Views
2K
Other Looking for ideas for new theory
Replies
7
Views
2K
Where to find interesting and challenging problems in Physics and Math?
Replies
2
Views
2K
Job Skills [Career] - What kind of life does a career in physics entail?
Replies
2
Views
3K
Studying What Are the Best Steps for Self-Teaching Theoretical Physics?
Replies
14
Views
3K

Hot Threads

Recent Insights

Back
Top