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First post-Newtonian N-body problem in Einstein–Cartan theory with the Weyssenhoff fluid: equations of motion [PDF]

European Physical Journal C: Particles and Fields, 2022
We derive the equations of motion for an N-body system in the Einstein–Cartan gravity theory at the first post-Newtonian order by exploiting the Weyssenhoff fluid as the spin model.
Emmanuele Battista, Vittorio De Falco
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First post-Newtonian N-body problem in Einstein–Cartan theory with the Weyssenhoff fluid: Lagrangian and first integrals [PDF]

European Physical Journal C: Particles and Fields, 2023
The rotational dynamics of an N-body system at the first post-Newtonian order in Einstein–Cartan theory is derived. This result is achieved by performing the point-particle limit of the equations of motion of the Weyssenhoff fluid, which models the ...
Emmanuele Battista, Vittorio De Falco, Davide Usseglio   +2 more
doaj   +2 more sources

AdS N-body problem at large spin

Journal of High Energy Physics
Motivated by the problem of multi-twist operators in general CFTs, we study the leading-twist states of the N-body problem in AdS at large spin J. We find that for the majority of states the effective quantum-mechanical problem becomes semiclassical with
Petr Kravchuk, Jeremy A. Mann
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PRODUCTIVITY OF A LOW-BUDGET COMPUTER CLUSTER APPLIED TO OVERCOME THE N-BODY PROBLEM [PDF]

Applied Computer Science, 2021
The classical n-body problem in physics addresses the prediction of individual motions of a group of celestial bodies under gravitational forces and has been studied since Isaac Newton formulated his laws.
Tomasz NOWICKI, Adam GREGOSIEWICZ , Zbigniew ŁAGODOWSKI   +2 more
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The hierarchical approach to proving the existence of generalized planar nested central configurations on some versions of the general (pn+1)-body problem

RUDN Journal of Engineering Research, 2023
A hierarchical approach to proving of existence in the general (pn+1)-body exact partial solutions is presented, the so called generalized planar nested central configurations in a form of consequently nested in each other convex n -gons with nonequal in
Yulianna V. Perepelkina, Alexander N. Zadiranov   +1 more
doaj   +1 more source

Circular Restricted n-Body Problem

Journal of Guidance, Control, and Dynamics, 2022
This paper introduces the Circular Restricted n-Body Problem (CRNBP), an extension of the bicircular restricted four-body problem (BCR4BP) designed to describe the dynamics of an n-body system. In the CRNBP, each massive body in the system is constrained to follow a Keplerian motion, similar to the BCR4BP's artificial constraint.
Rodolfo Batista Negri, Antônio F. B. A. Prado   +1 more
openaire   +2 more sources

Accelerating Polyhedral Discrete Element Method with CUDA

The Astronomical Journal, 2023
This paper presents an efficient CUDA-based implementation of a nonspherical discrete element method where irregular particles are described by using polyhedrons. Two strategies are employed to exploit the parallelism of the numerical method.
Tongge Wen, Xiangyuan Zeng
doaj   +1 more source

Switching quantum reference frames in the N-body problem and the absence of global relational perspectives [PDF]

Quantum, 2023
Given the importance of quantum reference frames (QRFs) to both quantum and gravitational physics, it is pertinent to develop a systematic method for switching between the descriptions of physics relative to different choices of QRFs, which is valid in ...
Augustin Vanrietvelde, Philipp A. Höhn, Flaminia Giacomini   +2 more
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Geodesic Rays of the N-Body Problem [PDF]

Archive for Rational Mechanics and Analysis, 2022
20 ...
J. M. Burgos, E. Maderna
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Constrained n-Body Problems [PDF]

, 2014
Applied Non-Linear Dynamical Systems, ed.
Szumiński, Wojciech, Przybylska, Maria
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