scholarly journals Neptune’s ring arcs confined by coorbital satellites: dust orbital evolution through solar radiation

2020 ◽  
Vol 496 (1) ◽  
pp. 590-597
Author(s):  
S M Giuliatti Winter ◽  
G Madeira ◽  
R Sfair
Keyword(s):  
Dynamical System ◽  
Solar Radiation ◽  
Numerical Simulations ◽  
Orbital Evolution ◽  
Dust Production ◽  
Small Satellites ◽  
Coorbital Satellites ◽  
Dust Ring

ABSTRACT Here, we report the results of a set of numerical simulations of the system formed by Neptune, Galatea, dust ring particles, and hypothetical co-orbital satellites. This dynamical system depicts a recent confinement mechanism formed by four co-orbital satellites being responsible for the azimuthal confinement of the arcs. After the numerical simulations, the particles were divided into four groups: particles that stay in the arcs, transient particles, particles that leave the arcs, and particles that collide with the co-orbital satellites. Our results showed that the lifetime of the smaller particles is 50 yr at most. After 100 yr, about $20{{\ \rm per\ cent}}$ of the total amount of larger particles are still present in the arcs. From our numerical simulations, the particles should be present in all arcs after 30 yr. Analysis of the dust production ruled out the hypothesis that small satellites close to or in the arc structure could be its source.

scholarly journals Note on the Sensitivity of Simulated Solutions of the Nonlinear Singularly Perturbed Dynamical System on the Used Different Rewriting into a System of First Order Differential Equations

2016 ◽  
Vol 24 (39) ◽  
pp. 51-55
Author(s):  
Vladimír Liška ◽  
Zuzana Šútova ◽  
Dušan Pavliak
Keyword(s):  
Dynamical System ◽  
Numerical Methods ◽  
Differential Equations ◽  
Numerical Simulations ◽  
Numerical Scheme ◽  
Singularly Perturbed ◽  
First Order ◽  
First Order Differential Equations

Abstract In this paper we analyze the sensitivity of solutions to a nonlinear singularly perturbed dynamical system based on different rewriting into a System of the First Order Differential Equations to a numerical scheme. Numerical simulations of the solutions use numerical methods implemented in MATLAB.

scholarly journals Dynamical taxonomy of the coupled solar radiation pressure and oblateness problem and analytical deorbiting configurations

2020 ◽  
Vol 132 (11-12) ◽  
Author(s):  
Ioannis Gkolias ◽  
Elisa Maria Alessi ◽  
Camilla Colombo
Keyword(s):  
Solar Radiation ◽  
Radiation Pressure ◽  
Invariant Manifolds ◽  
Equations Of Motion ◽  
Solar Radiation Pressure ◽  
Orbital Evolution ◽  
Mission Design ◽  
Simple Analytical Expression ◽  
Practical Applications ◽  
Resonant Interactions

AbstractRecent works demonstrated that the dynamics caused by the planetary oblateness coupled with the solar radiation pressure can be described through a model based on singly averaged equations of motion. The coupled perturbations affect the evolution of the eccentricity, inclination and orientation of the orbit with respect to the Sun–Earth line. Resonant interactions lead to non-trivial orbital evolution that can be exploited in mission design. Moreover, the dynamics in the vicinity of each resonance can be analytically described by a resonant model that provides the location of the central and hyperbolic invariant manifolds which drive the phase space evolution. The classical tools of the dynamical systems theory can be applied to perform a preliminary mission analysis for practical applications. On this basis, in this work we provide a detailed derivation of the resonant dynamics, also in non-singular variables, and discuss its properties, by studying the main bifurcation phenomena associated with each resonance. Last, the analytical model will provide a simple analytical expression to obtain the area-to-mass ratio required for a satellite to deorbit from a given altitude in a feasible timescale.

FEEDBACK CONTROL OF THE LIU CHAOTIC DYNAMICAL SYSTEM

2010 ◽  
Vol 24 (03) ◽  
pp. 397-404 ◽  
Author(s):  
XINGYUAN WANG ◽  
XINGUANG LI
Keyword(s):  
Dynamical System ◽  
Feedback Control ◽  
Asymptotic Stability ◽  
Numerical Simulations ◽  
Limit Cycles ◽  
Equilibrium Points ◽  
Unstable Periodic Orbits ◽  
Chaotic Dynamical System ◽  
Feedback Method ◽  
Liu System

Classical feedback method is used to control chaos in the Liu dynamical system. Based on the Routh–Hurwitz criteria, the conditions of the asymptotic stability of the steady states of the controlled Liu system are discussed, and they are also proved theoretically. Numerical simulations show that the method can suppress chaos to both unstable equilibrium points and unstable periodic orbits (limit cycles) successfully.

scholarly journals How to take into account the relativistic effects in dynamical studies of comets

2009 ◽  
Vol 5 (S263) ◽  
pp. 106-109
Author(s):  
Julia Venturini ◽  
Tabaré Gallardo
Keyword(s):  
Numerical Simulations ◽  
Computational Cost ◽  
Relativistic Effects ◽  
Exact Formula ◽  
Orbital Evolution ◽  
Relativistic Corrections ◽  
Numerical Integrator ◽  
Precise Ephemeris ◽  
Low Computational Cost

AbstractComet-like orbits with low perihelion distances tend to be affected by relativistic effects. In this work we discuss the origin of the relativistic corrections, how they affect the orbital evolution and how to implement these corrections in a numerical integrator. We also propose a model that mimics the principal relativistic effects and, contrary to the original “exact” formula, has low computational cost. Our model is appropriated for numerical simulations but not for precise ephemeris computations.

scholarly journals Design of an Open-Source Monitoring System for Thermodynamic Analysis of Buildings and Systems

Proceedings ◽  
2018 ◽  
Vol 4 (1) ◽  
pp. 54
Author(s):  
María de Castro ◽  
Ivan Felis ◽  
Constantino Torregrosa ◽  
Jorge Otero ◽  
Sina Ellesser
Keyword(s):  
Energy Efficiency ◽  
Solar Radiation ◽  
Numerical Simulations ◽  
Thermodynamic Analysis ◽  
Autonomous System ◽  
Source Monitoring ◽  
Environmental Parameters ◽  
Climate Control ◽  
Human Comfort

The purpose of this project was to design and implement an autonomous system based on Arduino to monitor environmental parameters that intervene in the perception of human comfort such as temperature, humidity, and solar radiation, and use them to analyze factors related to climate control and energy efficiency in buildings. The system was tested in laboratory conditions as well as by in situ measurements of building elements and living spaces. Some of the experiments carried out were contrasted with numerical simulations that allowed us to understand the implemented system.

scholarly journals Martian Self-Sustaining Dust Torus

1996 ◽  
Vol 150 ◽  
pp. 187-190 ◽  
Author(s):  
Sho Sasaki
Keyword(s):  
Solar Radiation ◽  
Radiation Pressure ◽  
Production Efficiency ◽  
Solar Radiation Pressure ◽  
Dust Particles ◽  
Theoretical Studies ◽  
Orbital Eccentricity ◽  
Dust Production ◽  
Upper Limit ◽  
Dust Sources

AbstractRecent theoretical studies show that orbits of circummartian dust particles are controlled by solar radiation pressure and the Martian oblateness. Smaller dust particles (< 22μm) with enhanced orbital eccentricity are quickly captured by Mars. We find that the collisions of ring particles with Phobos and Deimos are the most important dust sources. Erosion of Phobos should set the upper limit on the dust production efficiency controlling this self-sustaining mechanism, and then the ring dust abundance.

ON THE MATHEMATICAL CLARIFICATION OF THE SNAP-BACK-REPELLER IN HIGH-DIMENSIONAL SYSTEMS AND CHAOS IN A DISCRETE NEURAL NETWORK MODEL

2002 ◽  
Vol 12 (05) ◽  
pp. 1129-1139 ◽  
Author(s):  
WEI LIN ◽  
JIONG RUAN ◽  
WEIRUI ZHAO
Keyword(s):  
Neural Network ◽  
Dynamical System ◽  
Neural Networks ◽  
Fixed Point ◽  
Numerical Simulations ◽  
Neural Network Model ◽  
Jacobian Matrix ◽  
Nonlinear Dynamical System ◽  
High Dimensional ◽  
Nonlinear Dynamical

We investigate the differences among several definitions of the snap-back-repeller, which is always regarded as an inducement to produce chaos in nonlinear dynamical system. By analyzing the norms in different senses and the illustrative examples, we clarify why a snap-back-repeller in the neighborhood of the fixed point, where all eigenvalues of the corresponding variable Jacobian Matrix are absolutely larger than 1 in norm, might not imply chaos. Furthermore, we theoretically prove the existence of chaos in a discrete neural networks model in the sense of Marotto with some parameters of the systems entering some regions. And the following numerical simulations and corresponding calculation, as concrete examples, reinforce our theoretical proof.

Suppression and Excitation of Chaos: The Example of the Glow Discharge

1998 ◽  
Vol 08 (08) ◽  
pp. 1739-1742 ◽  
Author(s):  
Thomas Braun
Keyword(s):  
Dynamical System ◽  
Glow Discharge ◽  
Numerical Simulations ◽  
Experimental Observation ◽  
Logistic Map ◽  
Dynamical Variable ◽  
Time Dependent ◽  
External Signal ◽  
Controlling Chaos ◽  
Suppression Of Chaos

I report on the experimental observation of excitation and suppression of chaos through time dependent perturbations in the dynamical variable of a glow discharge. The interaction of the external signal with the dynamical system is explained in terms of the 1D map associated to the glow discharge. Numerical simulations are also performed with the logistic map. The proposed mechanism of exciting and/or suppressing chaos is in accordance with the OGY method of controlling chaos.

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