Results 1 to 10 of about 11,457,962 (286)
Darboux Inversions of the Kepler Problem [PDF]
Regular and Chaotic Dynamics, 2022 36 pages, 8 ...
Alain Albouy, Lei Zhao
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Tangent bundle geometry from dynamics: application to the Kepler problem [PDF]
, 2016 In this paper we consider a manifold with a dynamical vector field and inquire about the possible tangent bundle structures which would turn the starting vector field into a second order one.
Cariñena, J. F. +3 more
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Conformal Triality of the Kepler problem [PDF]
Journal of Geometry and Physics, 2015 We show that the Kepler problem is projectively equivalent to null geodesic motion on the conformal compactification of Minkowski-4 space. This space realises the conformal triality of Minkwoski, dS and AdS spaces.Comment: 4 pages, no figures.
Cariglia, Marco
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Variable Step Hybrid Block Method for the Approximation of Kepler Problem
Fractal and Fractional, 2022 In this article, a variable step size strategy is adopted in formulating a new variable step hybrid block method (VSHBM) for the solution of the Kepler problem, which is known to be a rigid and stiff differential equation.
Joshua Sunday +2 more
doaj +2 more sources
The Accelerated Kepler Problem [PDF]
Celestial Mechanics and Dynamical Astronomy, 2007 The accelerated Kepler problem is obtained by adding a constant acceleration to the classical two-body Kepler problem. This setting models the dynamics of a jet-sustaining accretion disk and its content of forming planets as the disk loses linear ...
A. Sommerfeld +9 more
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The symmetry of the Kepler problem, the inverse Ligon-Schaaf mapping and the Birkhoff conjecture. [PDF]
PLoS ONE, 2018 The Ligon-Schaaf regularization (LS mapping) was introduced in 1976 and has been used several times. However, we are not aware of any direct usage of the inverse mapping, perhaps since it appears at first sight to be quite complex, involves the use of a ...
Thomas Sumner Ligon
doaj +2 more sources
ALGEBRAIC DESCRIPTION OF SHAPE INVARIANCE REVISITED
Acta Polytechnica, 2017 We revisit the algebraic description of shape invariance method in one-dimensional quantum mechanics. In this note we focus on four particular examples: the Kepler problem in flat space, the Kepler problem in spherical space, the Kepler problem in ...
Satoshi Ohya
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The Kepler problem and non commutativity [PDF]
Modern Physics Letters A, 2003 We investigate the Kepler problem using a symplectic structure consistent with the commutation rules of the noncommutative quantum mechanics. We show that a noncommutative parameter of the order of $10^{-58} \text m^2$ gives observable corrections to the
Adler R. +4 more
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The dynamics of the relativistic Kepler problem
Results in Physics, 2020 We deal with the Hamiltonian system (HS) associated to the Hamiltonian in polar coordinates H=12pr2+pϕ2r2-1r-∊2r2, where ∊ is a small parameter. This Hamiltonain comes from the correction given by the special relativity to the motion of the two-body ...
Elbaz I. Abouelmagd +2 more
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Hamiltonian Dynamics for the Kepler Problem in a Deformed Phase Space [PDF]
Trends in Mathematics, 2021 This work addresses the Hamiltonian dynamics of the Kepler problem in a deformed phase space, by considering the equatorial orbit. The recursion operators are constructed and used to compute the integrals of motion.
Mahouton Norbert Hounkonnou +1 more
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