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We introduce a general mathematical framework to model the internal transport of angular momentum in a star hosting a close-in planetary/stellar companion. By assuming that the tidal and rotational distortions are small and that the…

Earth and Planetary Astrophysics · Physics 2016-07-27 A. F. Lanza , S. Mathis

Piecewise smooth maps are known to exhibit a wide range of dynamical features including numerous types of periodic orbits. Predicting regions in parameter space where such periodic orbits might occur and determining their stability is…

Dynamical Systems · Mathematics 2016-07-07 Arindam Saha , Soumitro Banerjee

In this paper I describe the visualization toolkit Sator, which is designed to read, analyze and visualize simulation data of the moving-mesh code Arepo. It is written in Python and employs a graphical user interface based on the Tkinter…

Instrumentation and Methods for Astrophysics · Physics 2018-11-20 Thomas H. Greif

In this paper we implement a numerical algorithm to compute codimension-one tori in three-dimensional, volume-preserving maps. A torus is defined by its conjugacy to rigid rotation, which is in turn given by its Fourier series. The…

Chaotic Dynamics · Physics 2013-10-01 Adam M. Fox , James D. Meiss

We carry out three-dimensional MHD simulations of star formation in turbulent, magnetized clouds, including ambipolar diffusion and feedback from protostellar outflows. The calculations focus on relatively diffuse clouds threaded by a…

Astrophysics · Physics 2009-11-13 Fumitaka Nakamura , Zhi-Yun Li

We present a review of the TORUS radiation transfer and hydrodynamics code. TORUS uses a 1-D, 2-D or3-D adaptive mesh refinement scheme to store and manipulate the state variables, and solves the equation of radiative transfer using Monte…

Solar and Stellar Astrophysics · Physics 2019-03-18 Tim Harries , Tom Haworth , David Acreman , Ahmad Ali , Tom Douglas

We describe the use of Multi Order Coverage (MOC) maps as a practical way to manage complex regions of the sky for the planning of multi-messenger observations. MOC maps are a data structure that provides a multi-resolution representation…

Animals are able to discover the topological map (graph) of surrounding environment, which will be used for navigation. Inspired by this biological phenomenon, researchers have recently proposed to generate graph representation for Markov…

Machine Learning · Computer Science 2020-06-24 Zhao-Heng Yin , Wu-Jun Li

Stars near the Sun oscillate both horizontally and vertically. In Paper I the coupling between these motions was modelled by determining the horizontal motion without reference to the vertical motion, and recovering the coupling by assuming…

Astrophysics of Galaxies · Physics 2015-05-20 James Binney , Paul McMillan

We develop the Mechanic package, which is a new numerical framework for dynamical astronomy. The aim of our software is to help in massive numerical simulations by efficient task management and unified data storage. The code is built on top…

Instrumentation and Methods for Astrophysics · Physics 2012-03-01 Mariusz Slonina , Krzysztof Gozdziewski , Cezary Migaszewski

Motivation: The Mapper algorithm is an essential tool to explore shape of data in topology data analysis. With a dataset as an input, the Mapper algorithm outputs a graph representing the topological features of the whole dataset. This…

Algebraic Topology · Mathematics 2025-01-31 Yuyang Tao , Shufei Ge

We adapt the Kolmogorov's normalization algorithm (which is the key element of the original proof scheme of the KAM theorem) to the construction of a suitable normal form related to an invariant elliptic torus. As a byproduct, our procedure…

Dynamical Systems · Mathematics 2013-03-27 Marco Sansottera , Ugo Locatelli , Antonio Giorgilli

Particle tracking codes are one of the fundamental tools used in the design and the study of complex magnetic lattices in accelerator physics. For most practical applications, non-linear lenses are included and the Courant-Snyder formalism…

Accelerator Physics · Physics 2025-03-26 Philippe Belanger , Guido Sterbini

Much of dynamical algebraic combinatorics focuses on global dynamical systems defined via maps that are compositions of local toggle operators. The second author and Roby studied such maps that result from toggling independent sets of a…

Combinatorics · Mathematics 2023-05-15 Colin Defant , Michael Joseph , Matthew Macauley , Alex McDonough

We make publicly available an efficient, versatile, easy to use and extend tool for calculating the evolution of circular aligned planetary orbits due to the tidal dissipation in the host star. This is the first model to fully account for…

Earth and Planetary Astrophysics · Physics 2015-06-19 Kaloyan Penev , Michael Zhang , Brian Jackson

This paper contains details on the algorithms implemented in the TEMPO2 pulsar timing software package and describes how the software is used. Information is given on how to download and install the software, use the various interfaces,…

Instrumentation and Methods for Astrophysics · Physics 2012-05-30 G. Hobbs

We present preliminary results on a new family of distribution functions that are able to generate axisymmetric, truncated (i.e., finite size) stellar dynamical models characterized by toroidal shapes. The relevant distribution functions…

Astrophysics · Physics 2009-11-10 L. Ciotti , G. Bertin , P. Londrillo

Mapping is one of the crucial tasks enabling autonomous navigation of a mobile robot. Conventional mapping methods output a dense geometric map representation, e.g. an occupancy grid, which is not trivial to keep consistent for prolonged…

Robotics · Computer Science 2025-02-10 Kirill Muravyev , Alexander Melekhin , Dmitry Yudin , Konstantin Yakovlev

Our knowledge of the Galaxy is being revolutionised by a series of photometric, spectroscopic and astrometric surveys. Already an enormous body of data is available from completed surveys, and data of ever increasing quality and richness…

Astrophysics of Galaxies · Physics 2015-05-27 James Binney