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The N-Body Problem in Lotos [PDF]
AbstractIt is shown how the classical n-body problem in mechanics can be generalised and formalised in Lotos. A number of variants are produced by instantiation of the specification framework. These include Newton's cradle, gas motion, the ‘game of life’, an orrery, a space game, an air traffic simulation and a sailing race.
Turner, Kenneth J, Kenneth J. Turner
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Circular Restricted n-Body Problem [PDF]
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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First post-Newtonian N-body problem in Einstein–Cartan theory with the Weyssenhoff fluid: equations of motion [PDF]
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]
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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Predictive models in obstetrics: Lessons from the celestial N‐body problem [PDF]
Jeremy Boujenah, Patrick Rozenberg
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Double pyramidal central configurations of Newtonian (N+2)-body problem
For double pyramidal central configurations of the Newtonian (N+2)-body problem where N point particles are positioned at the vertices of a regular N-polygon, and the (N+1)-th and (N+2)-th point-particles are positioned the opposite sides of the plane ...
Liang Ding, Jinrong Wang, Jinlong Wei
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On the stability of the homographic polygon configuration in the many-body problem [PDF]
In this paper the stability of a new class of exact symmetrical solutions in the Newtonian gravitational (n + 1) -body problem is studied. This class of solution follows from a suitable geometric distribution of the (n+1) -bodies, and initial ...
Prokopenya, AN, Cattani, C
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A class of periodic solutions of the N-body problem
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
COTI ZELATI, VITTORIO +1 more
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Geodesic Rays of the N-Body Problem [PDF]
20 ...
J. M. Burgos, E. Maderna
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PRODUCTIVITY OF A LOW-BUDGET COMPUTER CLUSTER APPLIED TO OVERCOME THE N-BODY PROBLEM [PDF]
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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