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On the Parametric Stability of the Isosceles Triangular Libration Points in the Planar Elliptical Charged Restricted Three-body Problem
We consider the planar charged restricted elliptic three-body problem (CHRETBP). In this work we consider the parametric stability of the isosceles...
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Solution of the Quantum Three-Body Problem in a Neighborhood of the Three-Particle Forward Scattering Direction
AbstractThe asymptotic behavior of the solution of the scattering problem for three three- dimensional Coulomb quantum particles in a neighborhood...
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Mathematical Modeling of the Processes of Convective Diffusion and Sorption in a Three-Layer Porous Body. I. Mass Transfer of Impurity Particles with a Porous Solution
We propose a mathematical model of convective diffusion of impurity particles accompanied by sorption processes in a body formed by three contacting...
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A Computational Approach to the Three-Body Coulomb Problem: Positron Scattering from Atomic Systems
The fundamental three-body Coulomb system has been intractable. Nonetheless, there were quantum leaps in this research field over the last 3 decades,...
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SOLVING THE MULTI-OBJECTIVE FRACTIONAL SOLID TRANSPORTATION PROBLEM BY USING DIFFERENT OPERATORS
This research delves into a complex problem known as the multi-objective fractional solid transportation problem (MFSTP), which deals with various...
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Scattering Problem of Three One-Dimensional Quantum Particles. Case of Repulsive Coulomb Pair Potentials at Large Distances
The present paper considers the quantum scattering problem for three one-dimensional particles with pair Coulomb repulsion potentials at large...
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Two-body Problem on a Sphere in the Presence of a Uniform Magnetic Field
We investigate the motion of one and two charged non-relativistic particles on a sphere in the presence of a magnetic field of uniform strength. For...
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Quantum simulators, phase transitions, resonant tunneling, and variances: A many-body perspective
This 2021 report summarizes our activities at the HLRS facilities Hawk and Hazel Hen in the framework of the multiconfigurational time-dependent...
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The Problem of Motion of a Body in a Liquid
The present chapter is devoted to the investigation of the problem of motion of a rigid body by inertia in an ideal incompressible fluid, infinitely...
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Some Aspects of the Scattering Problem for a System of Three Charged Particles
The question of influence of the spectral neighborhood of an accumulative point of bound energies of a pair subsystem on the structure of...
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Dynamics in the Charged Restricted Circular Three-Body Problem
The existence and stability of periodic solutions for different types of perturbations associated to the Charged Restricted Circular Three Body...
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The General Problem of Motion of a Rigid Body Acted upon by a Coaxial Combination of Potential and Gyroscopic Forces
In the last chapter, we have seen that the problem of motion of a body in a liquid or, more precisely, the alternative problem of motion of a body...
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Averaging Method in the Problem of the Lorentz Stabilization of the Indirect Equilibrium Position of a Satellite in the Orbital Coordinate System
AbstractA dynamically symmetric satellite in a circular orbit of small inclination is considered. The problem of the Lorentzian stabilization of the...
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The Restricted Three-Body Problem
Celestial mechanics has a long history, see for example the encyclopedic works of Hagihara [109] and Szebehely [231], or the Scholarpedia article on...
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Extremal Black Holes as Relativistic Systems with Kepler Dynamics
The recent detection of gravitational waves emanating from inspiralling black hole binaries has triggered a renewed interest in the dynamics of...
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Motion of a Rigid Body About a Fixed Point in the Field of a Distant Newtonian Centre and Brun’s Problem
In the preceding chapters, we concentrated on the study of motion of a rigid body about a fixed point in the uniform gravity field. This field serves...
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Computation of Spectral Characteristics for Charged Integral Equations
The Rayleigh-Ritz and the inverse iteration methods are used in order to compute the eigenvalues of charged Fredholm-Stieltjes integral equations,...
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Model of Hydrodynamic Mechanism of the Movement of Nanomotors
AbstractBased on the experiments on the movement of a Pt/Au bimetallic rod in a hydrogen peroxide solution, a model of the hydrodynamic mechanism of...
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Calculation of the Transport Properties of an Aqueous Solution at the Pore Level
AbstractA direct numerical simulation at the pore level of the transport of a multicomponent aqueous solution, which includes salt ions and a...
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A Control Method for Angular Stabilization of an Electrodynamic Tether System
We consider the stabilization problem for an electrodynamic tether system (EDTS) in a circular near-Earth orbit in the position where the tether is...