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A numerical investigation of coorbital stability and libration in three dimensions
(Springer, 2016-05-01)
Motivated by the dynamics of resonance capture, we study numerically the coorbital resonance for 0 <= I <= 180 degrees inclination in the circular restricted three-body problem. We examine the similarities and differences ...
A study of the 1/2 retrograde resonance: periodic orbits and resonant capture
(2021-05-01)
We describe the families of periodic orbits in the 2-dimensional 1/2 retrograde resonance at mass ratio 10 - 3, analyzing their stability and bifurcations into 3-dimensional periodic orbits. We explain the role played by ...
Resonance and chaos .1. First-order interior resonances
(Edp Sciences S A, 1997-03-01)
Analytical models for studying the dynamical behaviour of objects near interior, mean motion resonances are reviewed in the context of the planar, circular, restricted three-body problem. The predicted widths of the ...
Resonance and chaos: I. First-order interior resonances
(1997-03-01)
Analytical models for studying the dynamical behaviour of objects near interior, mean motion resonances are reviewed in the context of the planar, circular, restricted threebody problem. The predicted widths of the resonances ...
A Dirichelet-Neumann m-point BVP with a p-Laplacian-like operator
(PERGAMON-ELSEVIER SCIENCE LTD, 2005)
Let phi, theta be odd increasing homeomorphisms from R onto R satisfying phi(0) = theta(0) = 0, and let f : [a, b] x R x R -> R be a function satisfying Caratheodory's conditions. Let alpha(i) is an element of R, xi(i) is ...
Dynamics of two satellites in the 2/1 Mean-Motion resonance: application to the case of Enceladus and Dione
(Springer, 2007-05-01)
The dynamics of a pair of satellites similar to Enceladus-Dione is investigated with a two-degrees-of-freedom model written in the domain of the planar general three-body problem. Using surfaces of section and spectral ...
Nuclear structure constrains on resonant energies: a solution of the cosmological Li problem?
(Elsevier Science, 2012-11)
In this work, we study the cosmological 7Li problem from a nuclear structure point of view, by including resonances in the reactions which populate beryllium. The calculation of primordial abundances is performed by solving ...
On retrograde orbits, resonances and stability
(2016-10-01)
We start by reviewing our previous work on retrograde orbital configurations and on modeling and identifying retrograde resonances. Then, we present new results regarding the enhanced stability of retrograde configurations ...
Resonancia principal generalizada en sistemas oscilatorios de segundo orden
(Revista Mexicana de Física, 2009)
NONRESONANCE BETWEEN TWO EIGENVALUES NOT NECESSARILY CONSECUTIVE
(Universidad Católica del Norte, Departamento de Matemáticas, 2005)