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We present here in full detail the evolution of the angular momentum deficit (AMD) during collisions as it was described in (Laskar, PRL,2000). Since then, the AMD has been revealed to be a key parameter for the understanding of the outcome…

Earth and Planetary Astrophysics · Physics 2017-03-23 Jacques Laskar , Antoine Petit

It has been recently shown that supervised machine learning (ML) algorithms can accurately and efficiently predict the long-time populations dynamics of dissipative quantum systems given only short-time population dynamics. In the present…

We describe a reverse integration approach for the exploration of low-dimensional effective potential landscapes. Coarse reverse integration initialized on a ring of coarse states enables efficient "navigation" on the landscape terrain:…

Chemical Physics · Physics 2015-05-13 Thomas A. Frewen , Gerhard Hummer , Ioannis G. Kevrekidis

Open star clusters are dynamic systems whose evolution is critically influenced by initial conditions such as star formation efficiency and orbital parameters. Understanding their dissolution mechanisms provides insight into stellar…

Astrophysics of Galaxies · Physics 2025-03-14 M. Ishchenko , V. Masliukh , M. Hradov , P. Berczik , B. Shukirgaliyev , C. Omarov

Molecular-orbital-based machine learning (MOB-ML) enables the prediction of accurate correlation energies at the cost of obtaining molecular orbitals. Here, we present the derivation, implementation, and numerical demonstration of MOB-ML…

Chemical Physics · Physics 2021-04-07 Sebastian J. R. Lee , Tamara Husch , Feizhi Ding , Thomas F. Miller

We describe systematic ranging, an orbit determination technique especially suitable to assess the near-term Earth impact hazard posed by newly discovered asteroids. For these late warning cases, the time interval covered by the…

Earth and Planetary Astrophysics · Physics 2015-07-15 D. Farnocchia , S. R. Chesley , M. Micheli

1. The popularity of Machine learning (ML), Deep learning (DL), and Artificial intelligence (AI) has risen sharply in recent years. Despite this spike in popularity, the inner workings of ML and DL algorithms are often perceived as opaque,…

Quantitative Methods · Quantitative Biology 2023-03-28 Maximilian Pichler , Florian Hartig

In recent years, understanding asteroids has shifted from light worlds to geological worlds by exploring modern spacecraft and advanced radar and telescopic surveys. However, flyby in 2029 will be an opportunity to conduct an internal…

Instrumentation and Methods for Astrophysics · Physics 2021-06-08 Manuel Ntumba , Saurabh Gore , Jean-Baptiste Awanyo

Machine learning researchers have long noticed the phenomenon that the model training process will be more effective and efficient when the training samples are densely sampled around the underlying decision boundary. While this observation…

Machine Learning · Computer Science 2021-09-24 Honggang Yu , Shihfeng Zeng , Teng Zhang , Ing-Chao Lin , Yier Jin

In this paper, the minimum orbit intersection distances (MOIDs) of near-Earth asteroids (NEAs) over the next 200 years were computed and analyzed in detail. It was shown that the MOID of a NEA relative to the Earth-Moon barycenter (EMB) is…

Earth and Planetary Astrophysics · Physics 2025-05-06 Shoucun Hu , Yuanyuan Chen , Xinran Li , Xiuhai Wang , Xuefeng Wang

Ordinary and partial differential equations (ODEs/PDEs) play a paramount role in analyzing and simulating complex dynamic processes across all corners of science and engineering. In recent years machine learning tools are aspiring to…

Machine Learning · Computer Science 2021-06-11 Sifan Wang , Paris Perdikaris

Geological carbon and energy storage are pivotal for achieving net-zero carbon emissions and addressing climate change. However, they face uncertainties due to geological factors and operational limitations, resulting in possibilities of…

Computational Engineering, Finance, and Science · Computer Science 2023-10-12 Teeratorn Kadeethum , Stephen J. Verzi , Hongkyu Yoon

Context: The dynamical evolution of binary populations in embedded star clusters shapes the statistical properties of binaries observed in the Galactic field. Accurately modelling this process requires resolving both early cluster dynamics…

Astrophysics of Galaxies · Physics 2026-02-03 Wenjie Wu , Pavel Kroupa , Vikrant V. Jadhav

Instabilities and strong dynamical interactions between multiple giant planets have been proposed as a possible explanation for the surprising orbital properties of extrasolar planetary systems. In particular, dynamical instabilities seem…

Astrophysics · Physics 2007-05-23 Eric B. Ford , Frederic A. Rasio , Kenneth Yu

I consider the dynamics of mean motion resonances between pairs of co-planar planets and derive a new integrable Hamiltonian model for planets' resonant motion. The new model generalizes previously-derived integrable Hamiltonians for…

Earth and Planetary Astrophysics · Physics 2020-01-08 Sam Hadden

This study applied machine learning models to estimate stellar rotation periods from corrected light curve data obtained by the NASA Kepler mission. Traditional methods often struggle to estimate rotation periods accurately due to noise and…

Solar and Stellar Astrophysics · Physics 2024-09-10 Fatemeh Fazel Hesar , Bernard Foing , Ana M. Heras , Mojtaba Raouf , Victoria Foing , Shima Javanmardi , Fons J. Verbeek

Numerical integrations of the Solar System have been carried out for decades. Their results have been used, for example, to determine whether the Solar System is chaotic, whether Mercury's orbit is stable, or to help discern Earth's climate…

Earth and Planetary Astrophysics · Physics 2022-01-05 David M. Hernandez , Richard E. Zeebe , Sam Hadden

Chemical and mineral compositions of asteroids reflect the formation and history of our Solar System. This knowledge is also important for planetary defence and in-space resource utilisation. We aim to develop a fast and robust…

Earth and Planetary Astrophysics · Physics 2023-01-18 David Korda , Antti Penttilä , Arto Klami , Tomáš Kohout

Increasingly complex, non-linear World-Earth system models are used for describing the dynamics of the biophysical Earth system and the socio-economic and socio-cultural World of human societies and their interactions. Identifying pathways…

Physics and Society · Physics 2020-09-16 Felix M. Strnad , Wolfram Barfuss , Jonathan F. Donges , Jobst Heitzig

Estimates for asteroid masses are based on their gravitational perturbations on the orbits of other objects such as Mars, spacecraft, or other asteroids and/or their satellites. In the case of asteroid-asteroid perturbations, this leads to…

Earth and Planetary Astrophysics · Physics 2017-07-26 L. Siltala , M. Granvik
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