Results 21 to 30 of about 11,457,962 (286)

The Kepler problem in the Snyder space

, 2012
In this paper we study the Kepler problem in the non commutative Snyder scenario. We characterize the deformations in the Poisson bracket algebra under a mimic procedure from quantum standard formulations and taking into account a general recipe to build
Leiva, Carlos, Saavedra, Joel, Villanueva, J. R.   +2 more
core   +2 more sources

Periodic Solutions to a Perturbed Relativistic Kepler Problem [PDF]

SIAM Journal on Mathematical Analysis, 2020
We consider a perturbed relativistic Kepler problem \begin{equation*} \dfrac{\mathrm{d}}{\mathrm{d}t}\left(\dfrac{m\dot{x}}{\sqrt{1-|\dot{x}|^2/c^2}}\right)=-\alpha\, \dfrac{x}{|x|^3}+\varepsilon \, \nabla_x U(t,x), \qquad x \in \mathbb{R}^2 \setminus ...
A. Boscaggin, W. Dambrosio, Guglielmo Feltrin   +2 more
semanticscholar   +1 more source

Elementary Solution of Kepler Problem (and a few other problems)

Revista Brasileira de Ensino de Física, 2022
We present a simple method to obtain the solution of a few orbital problems: the Kepler problem, the modified Kepler problem by the addition of an inverse square potential and linear force.
M. Moriconi
doaj   +1 more source

Generalized periodic orbits of the time-periodically forced Kepler problem accumulating at the center and of circular and elliptic restricted three-body problems

Mathematische Annalen, 2021
In this paper, we consider a time-periodically forced Kepler problem in any dimension, with an external force which we only assume to be regular in a neighborhood of the attractive center. We prove that there exist infinitely many periodic orbits in this
Lei Zhao
semanticscholar   +1 more source

Periodic solutions of a perturbed Kepler problem in the plane: From existence to stability [PDF]

, 2016
Alberto Boscaggin, Rafael Ortega
openalex   +3 more sources

A novel binary Kepler optimization algorithm for 0–1 knapsack problems: Methods and applications

Alexandria Engineering Journal, 2023
The 0–1 Knapsack problem is a non-deterministic polynomial-time-hard combinatorial optimization problem that cannot be solved in reasonable time using traditional methods.
Mohamed Abdel-Basset, Reda Mohamed, Ibrahim M. Hezam, Karam M. Sallam, Ahmad M. Alshamrani, Ibrahim A. Hameed   +5 more
doaj   +1 more source

Representing Functions in H² on the Kepler Manifold via WPOAFD Based on the Rational Approximation of Holomorphic Functions

Mathematics, 2022
The central problem of this study is to represent any holomorphic and square integrable function on the Kepler manifold in the series form based on Fourier analysis.
Zeyuan Song, Zuoren Sun
doaj   +1 more source

Reduction and regularization of the Kepler problem

Celestial mechanics & dynamical astronomy, 2021
The KS regularization connects the dynamics of the harmonic oscillator to the dynamics of bounded Kepler orbits. Using orbit space reduction, it can be shown that reduced harmonic oscillator orbits can be identified with re-parametrized Kepler orbits by ...
J. C. Meer
semanticscholar   +1 more source

exoMMR: A New Python Package to Confirm and Characterize Mean Motion Resonances

The Astronomical Journal, 2023
The study of orbital resonances allows for the constraint of planetary properties of compact systems. We can predict a system’s resonances by observing the orbital periods of the planets, as planets in or near mean motion resonance (MMR) have period ...
Mariah G. MacDonald, Michael S. Polania Vivas, Skylar D’Angiolillo, Ashley N. Fernandez, Tyler Quinn   +4 more
doaj   +1 more source

On the Periodic Orbits of the Perturbed Two- and Three-Body Problems

Galaxies, 2023
In this work, a perturbed system of the restricted three-body problem is derived when the perturbation forces are conservative alongside the corresponding mean motion of two primaries bodies.
Elbaz I. Abouelmagd, Juan Luis García Guirao, Jaume Llibre   +2 more
doaj   +1 more source