Results 11 to 20 of about 11,457,962 (286)
Reduction and unfolding: the Kepler problem [PDF]
International Journal of Geometric Methods in Modern Physics, 2005 In this paper we show, in a systematic way, how to relate the Kepler problem to the isotropic harmonic oscillator. Unlike previous approaches, our constructions are carried over in the Lagrangian formalism dealing with second order vector fields.
D'Avanzo, Antonella, Marmo, Giuseppe
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Weak Chaos in a Quantum Kepler Problem [PDF]
, 1997 Transition from regular to chaotic dynamics in a crystal made of singular scatterers $U(r)=\lambda |r|^{-\sigma}$ can be reached by varying either sigma or lambda.
Anderson +25 more
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A Generalization of the Kepler Problem [PDF]
Physics of Atomic Nuclei, 2008 We construct and analyze a generalization of the Kepler problem. These generalized Kepler problems are parameterized by a triple $(D, \kappa, \mu)$ where the dimension $D\ge 3$ is an integer, the curvature $\kappa$ is a real number, the magnetic charge $\
A. O. Barut +14 more
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The number radial coherent states for the generalized MICZ-Kepler problem [PDF]
, 2015 We study the radial part of the MICZ-Kepler problem in an algebraic way by using the $su(1,1)$ Lie algebra. We obtain the energy spectrum and the eigenfunctions of this problem from the $su(1,1)$ theory of unitary representations and the tilting ...
Mota, R. D. +2 more
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Chaotic Dynamics of the Kepler Problem with Oscillating Singularity [PDF]
, 2016 We prove the presence of chaotic dynamics for the classical two-body Kepler problem with a time-periodic gravitational coefficient oscillating between two fixed values.
Alessandro Margheri, Pedro J. Torres
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Periodic orbits of the planar anisotropic generalized Kepler problem
Journal of Mathematics and Physics, 2019 Many generalizations of the Kepler problem with homogeneous potential of degree −1/2 have been considered. Here, we deal with the generalized anisotropic Kepler problem with homogeneous potential of degree −1.
Jaume Llibre, Clàudìa Valls
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On the Regularization of the Kepler Problem [PDF]
Journal of Symplectic Geometry, 2010 We show that for the Kepler problem the canonical Ligon-Schaaf regularization map can be understood in a straightforward manner as an adaptation of the Moser regularization.
de Laat, Tim, Heckman, Gert
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Regularization of Kepler problem in κ-spacetime [PDF]
Journal of Mathematical Physics, 2016 In this paper, we regularize the Kepler problem on κ-spacetime in several different ways. First, we perform a Moser-type regularization and then we proceed for the Ligon-Schaaf regularization to our problem. In particular, generalizing Heckman and de Laat [J. Symplectic Geom.
Partha Guha, E. Harikumar, N. S. Zuhair
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Symmetries and stability of motions in the Newtonian and the Hookean potentials [PDF]
Theoretical and Applied Mechanics, 2022 A new way of looking at symmetries is proposed, especially regarding their role in the stability of two-body motions in the Newtonian and the Hookean potentials, the two selected by Bertrand’s theorem. The role of the number of spatial dimensions is also
Carimalo Christian
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A high-entropy image encryption scheme using optimized chaotic maps with Josephus permutation strategy [PDF]
Scientific ReportsWith the rapid growth in the exchange of digital data, the problem of protecting images has become essential, particularly in sectors such as medicine, surveillance and secure communications.
Nawal El Ghouate +8 more
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