Results 1 to 10 of about 1,426,127 (317)

Periodic Orbits

Celestial Mechanics, 1984
Recent results on periodic orbits are presented. Planetary systems can be studied by the model of the general 3-body problem and also some satellite systems and asteroid orbits can be studied by the model of the restricted 3-body problem. Triple stellar systems and planetary systems with two Suns are close to periodic systems.
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Equilibrium Points and Periodic Orbits in the Vicinity of Asteroids with an Application to 216 Kleopatra

Earth, moon, and planets, 2015
In this study, equilibrium points and periodic orbits in the potential field of asteroids are investigated. We present the linearized equations of motion relative to the equilibrium points and characteristic equations.
Yu Jiang
semanticscholar   +1 more source

Compact orbits and periodicity

Nonlinear Analysis: Theory, Methods & Applications, 1984
Let X be a topological space satisfying the first axiom of countability and let \(f: X\to X\) be continuous. The author shows that any compact orbit A (in the sense of Kuratowski) contains a nonempty set Z consisting of all almost periodic points. Z is compact and invariant. For any \(x\in A\), the ''splinter'' \(S_ x=\{f^ n(x):\) \(n\in N\}\) is dense
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Regular and irregular periodic orbits

Celestial Mechanics and Dynamical Astronomy, 1997
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
E. Grousouzakou, George Contopoulos
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Multiplicity of periodic orbits for dynamically convex contact forms

, 2015
We give a sharp lower bound for the number of geometrically distinct contractible periodic orbits of dynamically convex Reeb flows on prequantizations of symplectic manifolds that are not aspherical. Several consequences of this result are obtained, like
M. Abreu, Leonardo Macarini
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Topological classifications and bifurcations of periodic orbits in the potential field of highly irregular-shaped celestial bodies

, 2014
This paper studies the distribution of characteristic multipliers, the structure of submanifolds, the phase diagram, bifurcations, and chaotic motions in the potential field of rotating highly irregular-shaped celestial bodies (hereafter called irregular
Yu Jiang, Yang Yu, H. Baoyin
semanticscholar   +1 more source

Leveraging quasi-periodic orbits for trajectory design in cislunar space

, 2021
Brian McCarthy, K. Howell
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Applications of periodic-orbit theory

Chaos: An Interdisciplinary Journal of Nonlinear Science, 1992
The periodic-orbit theory of Gutzwiller is applied in various ways by using generalized periodic-orbit sum rules. Numerical evaluations are carried out for the hyperbola billiard, a strongly chaotic system. The most efficient semiclassical determination of quantum energies is achieved by a quantization condition, which is formulated in terms of a zeta ...
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Multiple Periodic Orbits in the Ring Problem: Families of Triple Periodic Orbits

Astrophysics and Space Science, 2001
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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Periodic Orbits and Accretion Disks

Celestial Mechanics and Dynamical Astronomy, 1997
The motion of a small particle in a binary system where the radiation pressure is not negligible is considered. The photogravitational three-body problem is used as a model of formation of a disc by accretion. The author generalizes the method of \textit{Paczyńsky} [Astrophys. J.
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