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We introduce a new kinematic method to investigate the structure of open star clusters. We adopt a hierarchical clustering algorithm that uses the celestial coordinates and the proper motions of the stars in the field of view of the cluster…

Astrophysics of Galaxies · Physics 2020-08-26 Heng Yu , Zheng-Yi Shao , Antonaldo Diaferio , Lu Li

We propose a modular, data-driven framework for jointly learning unknown functional mappings and discovering the underlying one-parameter symmetry subgroup governing the data. Unlike conventional geometric deep learning methods that assume…

Machine Learning · Computer Science 2026-02-10 Pavan Karjol , Vivek V Kashyap , Rohan Kashyap , Prathosh A P

We show that the errors in the Hipparcos parallaxes towards the Pleiades and the Hyades open clusters are spatially correlated over angular scales of 2 to 3 deg, with an amplitude of up to 2 mas. This correlation is stronger than expected…

Astrophysics · Physics 2009-10-31 Vijay K. Narayanan , Andrew Gould

The Hipparcos mission (1989-1993) resulted in the first space-based stellar catalogue including measurements of positions, parallaxes and annual proper motions accurate to about one milli-arcsecond. More space astrometry missions will…

Instrumentation and Methods for Astrophysics · Physics 2012-01-16 Daniel Michalik , Lennart Lindegren , David Hobbs , Uwe Lammers , Yoshiyuki Yamada

We build a four-dimensional linear model of object membership in the Beta Pictoris moving group (BPMG), using two nested applications of Principal Component Analysis (PCA) to high-quality data on about 1.5 million objects. These data…

Solar and Stellar Astrophysics · Physics 2022-12-13 Josina O. do Nascimento , Valmir C. Barbosa

The combination of HIPPARCOS measurements with suitable ground-based astrometric data improves significantly the accuracy of the proper motions of bright stars. The comparison of both types of data allows us also to identify and to…

Astrophysics · Physics 2007-05-23 R. Wielen , H. Schwan , C. Dettbarn , H. Jahreiss , H. Lenhardt

The identification of modular structures is essential for characterizing real networks formed by a mesoscopic level of organization where clusters contain nodes with a high internal degree of connectivity. Many methods have been developed…

Physics and Society · Physics 2015-03-04 Diego R. Amancio , Osvaldo N. Oliveira , Luciano da F. Costa

We present an automated method to detect populations of groups in galaxy redshift catalogs. This method uses both analysis of the redshift distribution along lines of sight in fixed cells to detect elementary structures and a…

Astrophysics · Physics 2009-11-07 C. Adami , A. Mazure

We present a numerical method to identify regions of phase space that are approximately retained in a mobile compact neighbourhood over a finite time duration. Our approach is based on spatio-temporal clustering of trajectory data. The main…

Dynamical Systems · Mathematics 2015-06-24 Gary Froyland , Kathrin Padberg-Gehle

A primary challenge in understanding collective behavior is characterizing the spatiotemporal dynamics of the group. We employ topological data analysis to explore the structure of honeybee aggregations that form during trophallaxis, which…

Quantitative Methods · Quantitative Biology 2023-07-20 Golnar Gharooni-Fard , Morgan Byers , Varad Deshmukh , Elizabeth Bradley , Carissa Mayo , Chad Topaz , Orit Peleg

Our knowledge of the dynamics and masses of galaxies in the Local Group has long been limited by the fact that only line-of-sight velocities were observationally accessible. This introduces significant degeneracies in dynamical models,…

Astrophysics of Galaxies · Physics 2015-06-23 Roeland P. van der Marel

The detection of coherent structures is an important problem in fluid dynamics, particularly in geophysical applications. For instance, knowledge of how regions of fluid are isolated from each other allows prediction of the ultimate fate of…

Chaotic Dynamics · Physics 2013-05-28 Michael R. Allshouse , Jean-Luc Thiffeault

Identifying galaxy groups from redshift surveys of galaxies plays an important role in connecting galaxies with the underlying dark matter distribution. Current and future high-$z$ spectroscopic surveys, usually incomplete in redshift…

Astrophysics of Galaxies · Physics 2020-10-14 Kai Wang , H. J. Mo , Cheng Li , Jiacheng Meng , Yangyao Chen

This article presents a new algorithm, the Hyperbolic and Elliptic Points Tracking Algorithm (HEPTA), designed for automated tracking of elliptic and hyperbolic stationary points in two-dimensional non-stationary velocity fields defined on…

Atmospheric and Oceanic Physics · Physics 2025-05-12 A. A. Udalov , M. Yu. Uleysky

We derive relative proper motions of stars in the fields of globular clusters M4, M12, M22, NGC 3201, NGC 6362 and NGC 6752 based on a uniform data set collected between 1997 and 2008. We assign a membership class for each star with a…

Solar and Stellar Astrophysics · Physics 2013-01-15 K. Zloczewski , J. Kaluzny , M. Rozyczka , W. Krzeminski , B. Mazur , I. B. Thompson

Lee & Song (2018, Paper 1) developed a tool for calculating Bayesian membership probability for nearby young stellar moving groups (BAMG: Bayesian Analysis of Moving Groups). The study presented the importance of careful construction of…

Solar and Stellar Astrophysics · Physics 2019-04-16 Jinhee Lee , Inseok Song

Successfully achieving bipedal locomotion remains challenging due to real-world factors such as model uncertainty, random disturbances, and imperfect state estimation. In this work, we propose a novel metric for locomotive robustness -- the…

Robotics · Computer Science 2024-03-14 Maegan Tucker , Kejun Li , Aaron D. Ames

We present results from our continuing program to identify new, low-mass, members of the nearby young moving groups (NYMGs) using a proper motion selection algorithm and various observational techniques. We have three goals: 1) To provide…

Solar and Stellar Astrophysics · Physics 2015-05-18 Joshua E. Schlieder , Sébastien Lépine , Michal Simon

Inexpensive numerical methods are key to enable simulations of systems of a large number of particles of different shapes in Stokes flow. Several approximate methods have been introduced for this purpose. We study the accuracy of the…

Fluid Dynamics · Physics 2023-05-24 Anna Broms , Mattias Sandberg , Anna-Karin Tornberg

There is long tradition extending more than a century on the identification of moving groups in the Solar neighborhood. However, with the advent of large kinematic surveys, and especially of the upcoming Gaia data releases there is a need…

Astrophysics of Galaxies · Physics 2018-04-26 Helmer H. Koppelman , Titania Virginiflosia , Lorenzo Posti , Jovan Veljanoski , Amina Helmi