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

PG Breen, CN Foley, T Boekholt… - Monthly Notices of the …, 2020 - academic.oup.com
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 …

A statistical solution to the chaotic, non-hierarchical three-body problem

NC Stone, NWC Leigh - Nature, 2019 - nature.com
The three-body problem is arguably the oldest open question in astrophysics and has
resisted a general analytic solution for centuries. Various implementations of perturbation …

A quantification of the butterfly effect in cosmological simulations and implications for galaxy scaling relations

S Genel, GL Bryan, V Springel… - The Astrophysical …, 2019 - iopscience.iop.org
We study the chaotic-like behavior of cosmological simulations by quantifying how minute
perturbations grow over time and manifest as macroscopic differences in galaxy properties …

On the Jacobi capture origin of binaries with applications to the Earth-Moon system and black holes in galactic nuclei

TCN Boekholt, C Rowan, B Kocsis - Monthly Notices of the Royal …, 2023 - academic.oup.com
Close encounters between two bodies in a disc often result in a single orbital deflection.
However, within their Jacobi volumes, where the gravitational forces between the two bodies …

Punctuated chaos and the unpredictability of the Galactic Centre S-star orbital evolution

SF Portegies Zwart, TCN Boekholt… - Monthly Notices of the …, 2023 - academic.oup.com
We investigate the chaotic behaviour of the S-star cluster in the Galactic Centre using
precise N-body calculations, free from round-off or discretization errors. Our findings reveal …

Isles of regularity in a sea of chaos amid the gravitational three-body problem

AA Irani, NWC Leigh, TCN Boekholt… - Astronomy & …, 2024 - aanda.org
Context. The three-body problem (3BP) poses a longstanding challenge in physics and
celestial mechanics. Despite the impossibility of obtaining general analytical solutions …

The autodidactic universe

S Alexander, WJ Cunningham, J Lanier… - arXiv preprint arXiv …, 2021 - arxiv.org
We present an approach to cosmology in which the Universe learns its own physical laws. It
does so by exploring a landscape of possible laws, which we express as a certain class of …

Gargantuan chaotic gravitational three-body systems and their irreversibility to the Planck length

TCN Boekholt, SF Portegies Zwart… - Monthly Notices of the …, 2020 - academic.oup.com
Chaos is present in most stellar dynamical systems and manifests itself through the
exponential growth of small perturbations. Exponential divergence drives time irreversibility …

Chaos in self-gravitating many-body systems-Lyapunov time dependence of N and the influence of general relativity

SFP Zwart, TCN Boekholt, EH Por, AS Hamers… - Astronomy & …, 2022 - aanda.org
In self-gravitating N-body systems, small perturbations introduced at the start, or infinitesimal
errors that are produced by the numerical integrator or are due to limited precision in the …

Modelling the Milky Way as a dry Galaxy

MS Fujii, J Bédorf, J Baba… - Monthly Notices of the …, 2019 - academic.oup.com
We construct a model for the Milky Way (MW) Galaxy composed of a stellar disc and bulge
embedded in a dark-matter halo. All components are modelled as N-body systems with up to …