Results 321 to 330 of about 1,446,784 (362)

More than six hundred new families of Newtonian periodic planar collisionless three-body orbits

, 2017
The famous three-body problem can be traced back to Isaac Newton in the 1680s. In the 300 years since this “three-body problem” was first recognized, only three families of periodic solutions had been found, until 2013 when Šuvakov and Dmitrašinović ...
Xiaoming Li, S. Liao
semanticscholar   +1 more source

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
semanticscholar   +1 more source

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

Targeting unstable periodic orbits

Physical Review E, 1995
Specific targeting of unstable periodic orbits has been achieved by using large-amplitude perturbations in a dynamical system. The method has been demonstrated experimentally on a ${\mathrm{CO}}_{2}$ laser with modulated losses whose unstable periodic orbits are created either at a period-doubling or at a saddle-node bifurcation.
, Chizhevsky, , Glorieux
openaire   +2 more sources

Leveraging quasi-periodic orbits for trajectory design in cislunar space

, 2021
Brian McCarthy, K. Howell
semanticscholar   +1 more source

Unstable periodic orbits and prediction

Physical Review A, 1991
A hierarchical approximation of a generic chaotic attractor can be formulated in terms of unstable periodic orbits. We demonstrate the possibility of extracting the most dominant unstable periodic orbits from a measurement of a time-continuous flow. Since unstable periodic orbits not only represent the static properties of the system but also dominate ...
, Pawelzik, , Schuster
openaire   +2 more sources

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.
openaire   +1 more source

The Web of Periodic Orbits at L 4

Celestial Mechanics and Dynamical Astronomy, 2002
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
openaire   +3 more sources

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.
openaire   +1 more source

On Higher Order Resonant Periodic Orbits in the Photo–Gravitational Planar Restricted Three–Body Problem with Oblateness

The Journal of the astronautical sciences, 2019
Niraj M. Pathak, Elbaz I. Abouelmagd, V. O. Thomas   +2 more
semanticscholar   +1 more source