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Related papers: KerrGeoPy: A Python Package for Computing Timelike…

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We analyze the stability of circular geodesics for timelike as well as null geodesics of the Kerr BH spacetime with rotation parameter on the equatorial plane by Lyapunov stability analysis. Also, we verify the results of stability by…

General Relativity and Quantum Cosmology · Physics 2022-04-26 Pradeep Singh , Hemwati Nandan , Lokesh Kumar Joshi , Nidhi Handa , Shobhit Giri

Relativistic radiative transfer problems require the calculation of photon trajectories in curved spacetime. We present a novel technique for rapid and accurate calculation of null geodesics in the Kerr metric. The equations of motion from…

High Energy Astrophysical Phenomena · Physics 2011-02-11 Jason Dexter , Eric Agol

We provide new very simple and compact expressions for the efficient calculation of gravitational lens optical scalars for Kerr spacetime which are exact along any null geodesic. These new results are obtained recurring to well known…

Cosmology and Nongalactic Astrophysics · Physics 2020-02-05 Ezequiel F. Boero , Osvaldo M. Moreschi

General-relativistic radiative transfer (GRRT) calculations coupled with the calculation of geodesics in the Kerr spacetime are an essential tool for determining the images, spectra and light curves from matter in the vicinity of black…

High Energy Astrophysical Phenomena · Physics 2016-04-13 Hung-Yi Pu , Kiyun Yun , Ziri Younsi , Suk-Jin Yoon

The dynamical parameters conventionally used to specify the orbit of a test particle in Kerr spacetime are the energy $E$, the axial component of the angular momentum, $L_{z}$, and Carter's constant $Q$. These parameters are obtained by…

General Relativity and Quantum Cosmology · Physics 2009-11-07 Wolfram Schmidt

We present a family of analytic solutions for the nearly-equatorial motion of a test particle with precessing spin in Kerr spacetime. We solve the equations of motion up to linear order in the small body's spin for periodic and homoclinic…

General Relativity and Quantum Cosmology · Physics 2026-03-23 Gabriel Andres Piovano

GipsyX/RTGx is the Jet Propulsion Laboratory's (JPL) next generation software package for positioning, navigation, timing, and Earth science using measurements from three geodetic techniques: Global Navigation Satellite Systems (GNSS),…

The algorithms given in Karney, J. Geodesy 87, 43-55 (2013), to compute geodesics on terrestrial ellipsoids are extended to apply to ellipsoids of revolution with arbitrary eccentricity. For the direct and inverse geodesic problems, this…

Geophysics · Physics 2025-10-28 Charles F. F. Karney

The Kerr spacetime is one of the most widely known solutions to Einstein's vacuum field equations and is commonly used to describe a black hole with mass $m$ and spin $a$. Astrophysical observations in the electromagnetic spectrum as well…

General Relativity and Quantum Cosmology · Physics 2026-02-06 Torben C. Frost

We consider the geodesic motions in the Kerr-Sen-AdS$_4$ spacetime. We obtain the equations of motion for light rays and test particles. Using the parametric diagrams, we shown some regions where the radial and latitudinal geodesic motions…

General Relativity and Quantum Cosmology · Physics 2024-04-11 Ziqiang Cai , Tong-Yu He , Wen-Qian Wang , Zhan-Wen Han , Rong-Jia Yang

We present a python package "ScalPy" for studying the late time scalar field cosmology for a wide variety of scalar field models, namely the quintessence, tachyon and Galileon model. The package solves the autonomous system of equations for…

Cosmology and Nongalactic Astrophysics · Physics 2015-04-08 Sumit Kumar , Abhishek Jana , Anjan A. Sen

In recent times, quantum reservoir computing has emerged as a potential resource for time series prediction. Hence, there is a need for a flexible framework to test quantum circuits as nonlinear dynamical systems. We have developed a…

Quantum Physics · Physics 2024-01-22 Stanley Miao , Ola Tangen Kulseng , Alexander Stasik , Franz G. Fuchs

Asteroseismology is well-established in astronomy as the gold standard for determining precise and accurate fundamental stellar properties like masses, radii, and ages. Several tools have been developed for asteroseismic analyses but many…

Solar and Stellar Astrophysics · Physics 2021-09-08 Ashley Chontos , Daniel Huber , Maryum Sayeed , Pavadol Yamsiri

We present celmech, an open-source Python package designed to facilitate a wide variety of celestial mechanics calculations. The package allows users to formulate and integrate equations of motion incorporating user-specified terms from the…

Earth and Planetary Astrophysics · Physics 2022-10-26 Sam Hadden , Daniel Tamayo

We present here the general expressions for the acceleration of massive test particles along the symmetry axis of the Kerr metric, and then study the main properties of this acceleration in different regions of the spacetime. In particular,…

General Relativity and Quantum Cosmology · Physics 2016-05-09 J. Gariel , N. O. Santos , Anzhong Wang

The Python package teareduce has been developed to support teaching activities related to the reduction of astronomical data. Specifically, it serves as instructional material for students participating in practical classes on the…

Instrumentation and Methods for Astrophysics · Physics 2026-01-30 Nicolás Cardiel , Sergio Pascual , María Chillarón-Víctor , Cristina Cabello , Jesús Gallego , Jaime Zamorano , María Teresa Ceballos

Algorithms for the computation of geodesics on an ellipsoid of revolution are given. These provide accurate, robust, and fast solutions to the direct and inverse geodesic problems and they allow differential and integral properties of…

Geophysics · Physics 2013-01-08 Charles F. F. Karney

In this work we present the first calculation of the gravitational self-force on generic bound geodesics in Kerr spacetime to first order in the mass-ratio. That is, the local correction to equations of motion for a compact object orbiting…

General Relativity and Quantum Cosmology · Physics 2018-05-30 Maarten van de Meent

The analysis of experimental results with Python often requires writing many code scripts which all need access to the same set of functions. In a common field of research, this set will be nearly the same for many users. The qspec Python…

Computational Physics · Physics 2025-03-18 Patrick Müller , Wilfried Nörtershäuser

Space-based projects are providing a wealth of high-quality asteroseismic data, including frequencies for a large number of stars showing solar-like oscillations. These data open the prospect for precise determinations of key stellar…

Solar and Stellar Astrophysics · Physics 2015-05-20 P. -O. Quirion , J. Christensen-Dalsgaard , T. Arentoft