activity
20142026
most citedNewton vs the machine: solving the chaotic three-body problem using deep neural networks

98 citations · 179 across the 13 of their papers we have counts for

collaborators

13 papers

astro-ph.GA2026

A solution to the paradox of youth in the Galactic centre

Rodrigo P. Silva, Alexandre C. M. Correia, Tjarda C. N. Boekholt +1

The supermassive black hole at the Galactic centre, Sgr A*, is surrounded by an S cluster of young stars. These stars are predominantly B-type stars, but their origin remains uncer…

astro-ph.SR2025

Tertiary Tides with Eccentric Orbits

Yan Gao, Tjarda Boekholt, Devismita Panda +2

Within hierarchical triple stellar systems, there exists a tidal process unique to them, known as tertiary tides. In this process, the tidal deformation of a tertiary in a hierarch…

astro-ph.EP2024★ 12 cited

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

Alessandro Alberto Trani, Nathan W. C. Leigh, Tjarda C. N. Boekholt +1

The three-body problem (3BP) poses a longstanding challenge in physics and celestial mechanics. Despite the impossibility of obtaining general analytical solutions, statistical the…

astro-ph.GA2023★ 3 cited

Individual chaotic behaviour of the S-stars in the Galactic centre

Sam J. Beckers, Colin M. Poppelaars, Veronica S. Ulibarrena +2

Located at the core of the Galactic Centre, the S-star cluster serves as a remarkable illustration of chaos in dynamical systems. The long-term chaotic behaviour of this system can…

gr-qc2023

Gargantuan chaotic gravitational three-body systems II. Dependence on angular momentum and astrophysical scale

Tjarda C. N. Boekholt, Simon F. Portegies Zwart

Recently we estimated that about 5 percent of supermassive black hole triple systems are fundamentally unpredictable. These gargantuan chaotic systems are able to exponentially mag…

astro-ph.GA2023

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

Simon Portegies Zwart, Tjarda Boekholt, Douglas Heggie

We investigate the chaotic behavior of the S-star cluster in the Galactic center using precise -body calculations, free from round-off or discretization errors. Our findings rev…

nlin.CD2022

The paradox of infinitesimal granularity: Chaos and the reversibility of time in Newton's theory of gravity

Simon Portegies Zwart, Tjarda Boekholt

The fundamental laws of physics are time-symmetric, but our macroscopic experience contradicts this. The time reversibility paradox is partly a consequence of the unpredictability…

astro-ph.IM2021★ 1 cited

Radio astronomy and Space science in Azores: enhancing the Atlantic VLBI infrastructure cluster

Domingos Barbosa, Bruno Coelho, Sonia Antón +10

Radio astronomy and Space Infrastructures in the Azores have a great scientific and industrial interest because they benefit from a unique geographical location in the middle of th…

astro-ph.IM2020★ 38 cited

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

Tjarda Boekholt, Simon Portegies Zwart, Mauri Valtonen

Chaos is present in most stellar dynamical systems and manifests itself through the exponential growth of small perturbations. Exponential divergence drives time irreversibility an…

astro-ph.GA2019★ 98 cited

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

Philip G. Breen, Christopher N. Foley, Tjarda Boekholt +1

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. Cu…

astro-ph.EP2018

Towards completing Planetary Systems: The role of minor bodies on life growth and survival

Jorge Lillo-Box, David Kipping, Isabel Rebollido +8

The search for extrasolar planets in the past decades has shown that planets abound in the Solar neighborhood. While we are still missing an Earth twin, the forthcoming space missi…

astro-ph.IM2018★ 27 cited

Numerical verification of the microscopic time reversibility of Newton's equations of motion: Fighting exponential divergence

Simon Portegies Zwart, Tjarda Boekholt

Numerical solutions to Newton's equations of motion for chaotic self gravitating systems of more than 2 bodies are often regarded to be irreversible. This is due to the exponential…

astro-ph.IM2014

On the Reliability of N-body Simulations

Tjarda Boekholt, Simon Portegies Zwart

The general consensus in the N-body community is that statistical results of an ensemble of collisional N-body simulations are accurate, even though individual simulations are not.…