Kinematic Orbits and the Structure of the Internal Space for Systems of Five or More Bodies [PDF]
, 1999 The internal space for a molecule, atom, or other n-body system can be conveniently parameterised by 3n-9 kinematic angles and three kinematic invariants.
Bredon G E +9 more
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Implementation of fast algorithms for 2D flow simulation using vortex particle methods
Учёные записки Казанского университета: Серия Физико-математические наукиVortex particle methods of computational hydrodynamics are widely employed by engineers to solve the problems of flow simulation and estimation of unsteady hydrodynamic loads acting on bodies.
E. P. Ryatina +3 more
doaj +1 more source
The Sine-Gordon Solitons as a N-Body Problem
, 1993 We consider the N-soliton solutions in the sine-Gordon model as a N-body problem. This leads to a relativistic generalization of the Calogero model first introduced by Ruijsenaars.
Avan +20 more
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On an Application of the Hill Approach to the General Case of the Three-body Problem
The Astronomical JournalIn this work, we use the energy and angular momentum integrals as a resource for applying Hill’s approach to the general three-body problem. As a result, we obtain theorems on the Lagrange stability and Hill stability in the general three-body problem ...
Stepan P. Sosnitskii
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Analytic Five-Body Gerono Lemniscata Choreography
Journal of Mathematical Sciences and ModellingThe trajectories and interaction forces of five bodies with equal masses are analytically described. The bodies follow a choreographic motion in a figure of eight, Gerono lemniscata periodic orbit without collisions.
Manuel Fernandez-guasti
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Simple choreographies of the planar Newtonian $N$-body Problem
, 2016 In the $N$-body problem, a simple choreography is a periodic solution, where all masses chase each other on a single loop. In this paper we prove that for the planar Newtonian $N$-body problem with equal masses, $N \ge 3$, there are at least $2^{N-3} + 2^
A. Chenciner +17 more
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Reduction of the Two Body Problem in N=2 Chern Simons Supergravity [PDF]
, 1995 By an extension of the methods used for the reduction of the two body problem in 2+1 dimensional gravity, we show that the two body problem in N=2 Chern Simons supergravity can be reduced exactly to an equivalent on body formalism.
Achucarro +11 more
core +2 more sources
Lifestyle Behaviors and Cardiotoxic Treatment Risks in Adult Childhood Cancer Survivors
Pediatric Blood &Cancer, EarlyView.ABSTRACT Background Higher doses of anthracyclines and heart‐relevant radiotherapy increase cardiovascular disease (CVD) risk. This study assessed CVD and CVD risk factors among adult childhood cancer survivors (CCSs) across cardiotoxic treatment risk groups and examined associations between lifestyle behaviors and treatment risks.
Ruijie Li +6 more
wiley +1 more source
Numerical Determination of the Gravitational Cross Sections of an Accreting Binary
The Astrophysical JournalA significant amount of work has been devoted to the study of small binary solar system objects. The majority of these binaries, especially among the near-Earth or main belt asteroids, have small radius ratios, implying a large difference in size between
Zachary Murray
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Triangular Equilibria in R3BP under the Consideration of Yukawa Correction to Newtonian Potential
Journal of Applied Mathematics, 2022 We study the triangular equilibrium points in the framework of Yukawa correction to Newtonian potential in the circular restricted three-body problem.
M. Javed Idrisi +3 more
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