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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 +2 more
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AdS N-body problem at large spin [PDF]
Journal of High Energy PhysicsMotivated 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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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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Newton's law of gravity F = GMm/r^2 shows the force of gravitational interaction of two bodies. The solution of the inverse problem of two bodies (Bertrand problem) also leads to Newton's law of gravity. However, the solution of the direct and inverse problems of two bodies does not lead to a physical law that is capable of giving the full force of ...
Mykola Kosinov
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Geodesic Rays of the N-Body Problem [PDF]
Archive for Rational Mechanics and Analysis, 2022 20 ...
Juan Manuel Burgos, Ezequiel Maderna
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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 +2 more
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Remarks on the inverse problem of the collinear central configurations in the N-body problem
Electronic Research Archive, 2022 For a fixed configuration in the collinear N-body problem, the existence of the central configurations is determined by a system of linear equations, which in turn is determined by certain Pfaffians for even or odd N in literatures.
Zhifu Xie
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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 +1 more
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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 +1 more
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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 +2 more
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