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An order parameter, termed the maximal row correlation, is proposed for classical spin systems. Monte Carlo simulations on various Potts models suggest that this order parameter is applicable to a broad range of spin systems, including…

统计力学 · 物理学 2025-09-18 Yong-Yi Tang , Yin Zhong , Hantao Lu

In this work we use intersection of different pseudo-orbits obtained by interval extensions to reduce the bounds of the exact solution provided by the toolbox Intlab. The method is applied on the logistic map.

数值分析 · 数学 2016-12-28 H. M. Rodrigues Junior , M. L. C. Peixoto , E. G. Nepomuceno

Cosmological simulations have been used to study interacting galaxies as a function of galaxy pair separation, enabling comparisons with observational studies of galaxy pairs. The study of interacting galaxies as a function of time (i.e.…

We generalize ideas in the recent literature and develop new ones in order to propose a general class of contour integral methods for linear convection-diffusion PDEs and in particular for those arising in finance. These methods aim to…

数值分析 · 数学 2021-05-31 Nicola Guglielmi , Maria López-Fernández , Mattia Manucci

We present 3D-Barolo, a new code that derives rotation curves of galaxies from emission-line observations. This software fits 3D tilted-ring models to spectroscopic data-cubes and can be used with a variety of observations: from HI and…

星系天体物理 · 物理学 2015-06-01 Enrico Di Teodoro , Filippo Fraternali

When using constellation synergy to image large areas for reconnaissance, it is required to achieve the coverage capability requirements with minimal consumption of observation resources to obtain the most optimal constellation observation…

计算机视觉与模式识别 · 计算机科学 2022-12-07 Jiahao Zhou , Boheng Li , Qingxiang Meng

Analytic methods to investigate periodic orbits in galactic potentials. To evaluate the quality of the approximation of periodic orbits in the logarithmic potential constructed using perturbation theory based on Hamiltonian normal forms.…

天体物理学 · 物理学 2011-10-05 Giuseppe Pucacco , Dino Boccaletti , Cinzia Belmonte

Three methods for detecting and characterizing structure in point data, such as that generated by redshift surveys, are described: classification using self-organizing maps, segmentation using Bayesian blocks, and density estimation using…

宇宙学与河外天体物理 · 物理学 2015-05-19 M. J. Way , P. R. Gazis , Jeffrey D. Scargle

We investigate a method to compute a finite set of preliminary orbits for solar system bodies using the first integrals of the Kepler problem. This method is thought for the applications to the modern sets of astrometric observations, where…

数学物理 · 物理学 2010-04-01 Giovanni Federico Gronchi , Linda Dimare , Andrea Milani

A simple procedure is developed to determine orbital elements of an object orbiting in a central force field which contribute more than three independent celestial positions. By manipulation of formal three point Gauss method of orbit…

地球与行星天体物理 · 物理学 2015-06-17 Taghi Mirtorabi

Here we revisit an initial orbit determination method introduced by O. F. Mossotti employing four geocentric sky-plane observations and a linear equation to compute the angular momentum of the observed body. We then extend the method to…

地球与行星天体物理 · 物理学 2021-09-29 Giovanni F. Gronchi , Giulio Baù , Óscar Rodríguez , Robert Jedicke , Joachim Moeyens

Many approaches to galaxy dynamics assume that the gravitational potential is simple and the distribution function is time-invariant. Under these assumptions there are traditional tools for inferring potential parameters given observations…

We present a new computational method to calculate arbitrary pair correlation functions of an orthorombic system in the most efficient way. The algorithm is demonstrated by the calculation of the radial distribution function of shock…

化学物理 · 物理学 2014-06-23 Kai A. F. Röhrig , Thomas D. Kühne

A major weakness in one-dimensional (1D) stellar structure and evolution modeling is the simplified treatment of convection, which leads to erroneous near-surface stratification and considerable uncertainties in predicted effective…

We investigate the qualitative characteristics of a test particle attracted to an irregular elongated body, modeled as a non-homogeneous straight segment with a variable linear density. By deriving the potential function in closed form, we…

动力系统 · 数学 2024-11-22 E. Martínez , J. Vidarte , J. L. Zapata

To complete a previous paper, the probability density functions of the center-of-gravity as positioning algorithm are derived with classical methods. These methods, as suggested by the textbook of Probability, require the preliminary…

统计力学 · 物理学 2020-06-05 Gregorio Landi , Giovanni E. Landi

It has recently been shown by Egal et al. (2017) that some types of existing meteor in-atmosphere trajectory estimation methods may be less accurate than others, particularly when applied to high precision optical measurements. The…

地球与行星天体物理 · 物理学 2020-04-23 Denis Vida , Peter S. Gural , Peter G. Brown , Margaret Campbell-Brown , Paul Wiegert

We present a novel method for classifying two-dimensional orbits in rotating bar potentials, based on an empirical proxy for the second integral of motion, Calibrated Angular Momentum (CAM), which is defined as the ratio of the…

星系天体物理 · 物理学 2026-02-03 Tian-ye Xia , Juntai Shen , John Magorrian , Yu-jing Qin

We here elaborate on a quantitative argument to support the validity of the Collatz conjecture, also known as the (3x + 1) or Syracuse conjecture. The analysis is structured as follows. First, three distinct fixed points are found for the…

动力系统 · 数学 2016-12-28 Timoteo Carletti , Duccio Fanelli

The simultaneous treatment of static and dynamical correlations in strongly-correlated electron systems is a critical challenge. In particular, finding a universal scheme for identifying a single-particle orbital basis that minimizes the…

量子物理 · 物理学 2024-08-07 Ke Liao , Lexin Ding , Christian Schilling