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A modification to the vis-viva equation that accounts for general relativistic effects is introduced to enhance the accuracy of predictions of orbital motion and precession. The updated equation reduces to the traditional vis-viva equation…

General Relativity and Quantum Cosmology · Physics 2024-04-17 Qi Peng , Shuichiro Yokoyama , Kiyotomo Ichiki

We present OGRe, a modern Mathematica package for tensor calculus, designed to be both powerful and user-friendly. The package can be used in a variety of contexts where tensor calculations are needed, in both mathematics and physics, but…

Mathematical Software · Computer Science 2025-12-29 Barak Shoshany

In this article we propose some Maple procedures, for teaching purposes, to study the basics of General Relativity (GR) and Cosmology. After presenting some features of GRTensorII, a package specially built to deal with GR, we give two…

General Relativity and Quantum Cosmology · Physics 2016-04-15 Ciprian A. Sporea , Dumitru N. Vulcanov

Deep learning has had remarkable success in robotic perception, but its data-centric nature suffers when it comes to generalizing to ever-changing environments. By contrast, physics-based optimization generalizes better, but it does not…

We present an open-source simulation framework for optically detected magnetic resonance, developed in Python. The framework allows users to construct, manipulate, and evolve multipartite quantum systems that consist of spins and electronic…

Quantum Physics · Physics 2025-01-13 Laura A. Völker , John M. Abendroth , Christian L. Degen , Konstantin Herb

We present "torchGDM", a numerical framework for nano-optical simulations based on the Green's Dyadic Method (GDM). This toolkit combines a hybrid approach, allowing for both fully discretized nano-structures and structures approximated by…

The Slater-type orbital basis with non-integer principal quantum numbers is a physically and mathematically motivated choice for molecular electronic structure calculations in both non-relativistic and relativistic theory. The…

Quantum Physics · Physics 2022-03-15 A Bagci , Philip E Hoggan , M Adak

We extend to three dimensions the proposal of a completely relativistic positioning system (rPS). The system does not rely on approximations, in fact, it works at a few Schwarzschild radii from a black hole, and it does not rely on…

General Relativity and Quantum Cosmology · Physics 2023-09-06 S. Carloni , L. Fatibene , M. Ferraris , R. G. McLenaghan , A. Orizzonte

The Galactic center offers us a unique opportunity to test General Relativity (GR) with the orbits of stars around a supermassive black hole. Observations of these stars have been one of the great successes of adaptive optics on 8-10 m…

Astrophysics of Galaxies · Physics 2017-11-20 Tuan Do , Aurelien Hees , Arezu Dehghanfar , Andrea Ghez , Shelley Wright

This paper introduces the first release of Pytearcat, a Python package developed to compute tensor algebra operations in the context of theoretical physics, for instance, in general relativity. Given that working with tensors can become a…

General Relativity and Quantum Cosmology · Physics 2022-04-06 Marco San Martín , Joaquin Sureda

The Relativistic Motion Integrator (RMI) consists in integrating numerically the EXACT relativistic equations of motion, for a given metric (corresponding to a gravitational field at first post-Newtonian order or higher), instead of…

General Relativity and Quantum Cosmology · Physics 2012-07-04 S. Pireaux , B. Chauvineau , A. Hees

In order to manipulate a deformable object, such as rope or cloth, in unstructured environments, robots need a way to estimate its current shape. However, tracking the shape of a deformable object can be challenging because of the object's…

Robotics · Computer Science 2020-11-03 Yixuan Wang , Dale McConachie , Dmitry Berenson

We present GPR_calculator, a package based on Python and C++ programming languages to build an on-the-fly surrogate model using Gaussian Process Regression (GPR) to approximate expensive electronic structure calculations. The key idea is to…

Materials Science · Physics 2026-01-30 Isaac Onyango , Byungkyun Kang , Qiang Zhu

The last decade has witnessed the emergence of massive mobility data sets, such as tracks generated by GPS devices, call detail records, and geo-tagged posts from social media platforms. These data sets have fostered a vast scientific…

Physics and Society · Physics 2021-06-07 Luca Pappalardo , Filippo Simini , Gianni Barlacchi , Roberto Pellungrini

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.

Numerical Analysis · Mathematics 2016-12-28 H. M. Rodrigues Junior , M. L. C. Peixoto , E. G. Nepomuceno

We present Lenstronomy, a multi-purpose open-source gravitational lens modeling python package. Lenstronomy is able to reconstruct the lens mass and surface brightness distributions of strong lensing systems using forward modelling.…

Cosmology and Nongalactic Astrophysics · Physics 2018-11-14 Simon Birrer , Adam Amara

We implement an efficient method to quantify time-dependent orbital complexity in gravitational $N$-body simulations. The technique, which we name DWaTIM, is based on a discrete wavelet transform of velocity orbital time series. The wavelet…

Astrophysics · Physics 2009-11-13 N. T. Faber , C. M. Boily , S. Portegies Zwart

We present nbodykit, an open-source, massively parallel Python toolkit for analyzing large-scale structure (LSS) data. Using Python bindings of the Message Passing Interface (MPI), we provide parallel implementations of many commonly used…

Instrumentation and Methods for Astrophysics · Physics 2018-10-31 Nick Hand , Yu Feng , Florian Beutler , Yin Li , Chirag Modi , Uros Seljak , Zachary Slepian

Robotic simulators provide cost-effective and risk-free virtual environments for studying robotic designs, control algorithms, and sensor integrations. They typically host extensive libraries of sensors and actuators that facilitate rapid…

Robotics · Computer Science 2025-06-25 Yulyan Wahyu Hadi , Lars Hof , Bayu Jayawardhana , Bahar Haghighat

We present an algorithm for the rapid numerical integration of smooth, time-periodic differential equations with small nonlinearity, particularly suited to problems with small dissipation. The emphasis is on speed without compromising…

Numerical Analysis · Mathematics 2015-06-23 Michele V. Bartuccelli , Jonathan H. B. Deane , Guido Gentile