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Newton versus the machine: solving the chaotic three-body problem using deep neural networks

Abstract:

Since its formulation by Sir Isaac Newton, the problem of solving the equations of motion for three bodies under their own gravitational force has remained practically unsolved. Currently, the solution for a given initialization can only be found by performing laborious iterative calculations that have unpredictable and potentially infinite computational cost, due to the system's chaotic nature. We show that an ensemble of converged solutions for the planar chaotic three-body problem obtained...

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Publication status:
Published
Peer review status:
Peer reviewed

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Publisher copy:
10.1093/mnras/staa713

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Institution:
University of Oxford
Department:
PHYSICS
Sub department:
Theoretical Physics
Role:
Author
ORCID:
0000-0002-6911-6584
Publisher:
Oxford University Press
Journal:
Monthly Notices of the Royal Astronomical Society More from this journal
Volume:
494
Issue:
2
Pages:
2465-2470
Publication date:
2020-04-22
Acceptance date:
2021-03-01
DOI:
EISSN:
1365-2966
ISSN:
0035-8711
Language:
English
Keywords:
Pubs id:
1138146
Local pid:
pubs:1138146
Deposit date:
2021-08-13

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