Results 301 to 310 of about 1,516,190 (385)

Cislunar Periodic Orbit Analysis for Persistent Space Object Detection Capability

Journal of Spacecraft and Rockets, 2021
This work studies the performance of periodic orbits to observe and conduct space traffic management (STM) in cislunar space, with the aim of finding a preferable trajectory for future missions foc...
Jacob K. Vendl, M. Holzinger
semanticscholar   +1 more source

Using Reinforcement Learning to Design a Low-Thrust Approach into a Periodic Orbit in a Multi-Body System

, 2020
Exploring multi-body systems with low-thrust-enabled small satellites opens up a new frontier of scientific opportunities. However, the limited control authority of these spacecraft introduces significant challenges during trajectory and maneuver design.
C. Sullivan, N. Bosanac
semanticscholar   +1 more source

Multiple bifurcations in the periodic orbit around Eros

, 2016
We investigate the multiple bifurcations in periodic orbit families in the potential field of a highly irregular-shaped celestial body. Topological cases of periodic orbits and four kinds of basic bifurcations in periodic orbit families are studied ...
Y. Ni, Yu Jiang, H. Baoyin
semanticscholar   +1 more source

Ground states are generically a periodic orbit

, 2013
We prove that for an expanding transformation the maximizing measures of a generic Lipschitz function are supported on a single periodic orbit.
G. Contreras
semanticscholar   +1 more source

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.
openaire   +2 more sources

Desynchronization by periodic orbits

Physical Review E, 1995
Synchronous chaotic behavior is often interrupted by bursts of desynchronized behavior. We investigate the role of unstable periodic orbits in bursting events and show that they serve as sources of local transverse instability within a synchronous chaotic attractor. Analysis of bursts in both model and experimental studies of two coupled R\"ossler-like
, Heagy, , Carroll, , Pecora
openaire   +2 more sources

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

Periodic Orbits near equilibria

Communications on Pure and Applied Mathematics, 2010
AbstractLyapunov, Weinstein, and Moser obtained remarkable theorems giving sufficient conditions for the existence of periodic orbits emanating from an equilibrium point of a differential system with a first integral. Using averaging theory, we establish a similar result for a differential system without assuming the existence of a first integral.
Barreira, Luis, Llibre, Jaume, Valls, Claudia   +2 more
openaire   +1 more source

STABILIZING HIGHER PERIODIC ORBITS

International Journal of Bifurcation and Chaos, 1994
In this paper, we consider stabilization of chaotic dynamical systems onto higher periodic orbits. We give a necessary and sufficient condition for using local linear state feedback control for this purpose. The control is achieved using small, bounded perturbations, and the method proposed is shown to be effective even in the presence of relatively ...
Paskota, M., Mees, A. I., Teo, K. L.
openaire   +2 more sources