Nonlinear Dynamics, ISSN 0924-090X, 2/2018, Volume 91, Issue 3, pp. 1473 - 1489

The main goal of this paper is to describe the motion of a spacecraft around an artificial equilibrium point in the circular restricted three-body problem. The...

Engineering | Vibration, Dynamical Systems, Control | Classical Mechanics | Equilibrium points | Restricted three-body problem | Automotive Engineering | Astrodynamics | Mechanical Engineering | Nonlinear systems | MECHANICS | ORBITS | RESTRICTED 3-BODY PROBLEM | CHALLENGES | ENGINEERING, MECHANICAL | Space vehicles | Space ships | Usage | Analysis | Radiation | Industrial concentration | Economic models | Gravitation | Lagrangian equilibrium points | Exact solutions | Perturbation | Equations of motion | Solar radiation | Equilibrium | Radiation pressure | Spacecraft motion | Three body problem

Engineering | Vibration, Dynamical Systems, Control | Classical Mechanics | Equilibrium points | Restricted three-body problem | Automotive Engineering | Astrodynamics | Mechanical Engineering | Nonlinear systems | MECHANICS | ORBITS | RESTRICTED 3-BODY PROBLEM | CHALLENGES | ENGINEERING, MECHANICAL | Space vehicles | Space ships | Usage | Analysis | Radiation | Industrial concentration | Economic models | Gravitation | Lagrangian equilibrium points | Exact solutions | Perturbation | Equations of motion | Solar radiation | Equilibrium | Radiation pressure | Spacecraft motion | Three body problem

Journal Article

Acta Astronautica, ISSN 0094-5765, 06/2014, Volume 99, Issue 1, pp. 158 - 165

The orbital motion of a spacecraft in the vicinity of a binary asteroid system can be modelled as the full three-body problem. The circular restricted case is...

Equilibrium points | Lagrangian points | Circular restricted full three-body problem | ENGINEERING, AEROSPACE | STABILITY

Equilibrium points | Lagrangian points | Circular restricted full three-body problem | ENGINEERING, AEROSPACE | STABILITY

Journal Article

International Journal of Bifurcation and Chaos, ISSN 0218-1274, 05/2015, Volume 25, Issue 5, pp. 1550077 - 1-1550077-10

In the frame of the equilateral equilibrium points exploration, numerous future space missions will require maximization of payload mass, simultaneously...

powered »swing-by | circular restricted three-body problem | equilateral equilibrium points | Chaotic component | MATHEMATICS, INTERDISCIPLINARY APPLICATIONS | LAGRANGIAN POINTS | MULTIDISCIPLINARY SCIENCES | ALTERNATIVE TRANSFER | TRAJECTORIES | ORBITS | RECURRENCE | powered "swing-by" | SPACECRAFT | Analysis | Orbits | Earth | Low energy | Earth-Moon system | Gravitation | Moon | Chaos theory | Spacecraft | Trajectories

powered »swing-by | circular restricted three-body problem | equilateral equilibrium points | Chaotic component | MATHEMATICS, INTERDISCIPLINARY APPLICATIONS | LAGRANGIAN POINTS | MULTIDISCIPLINARY SCIENCES | ALTERNATIVE TRANSFER | TRAJECTORIES | ORBITS | RECURRENCE | powered "swing-by" | SPACECRAFT | Analysis | Orbits | Earth | Low energy | Earth-Moon system | Gravitation | Moon | Chaos theory | Spacecraft | Trajectories

Journal Article

Acta Astronautica, ISSN 0094-5765, 11/2014, Volume 104, Issue 2, pp. 464 - 471

This paper discusses the generation, stability, and control of artificial equilibrium points for a solar balloon spacecraft in the Centauri A and B binary star...

Solar balloon | α Centauri binary star system | Artificial equilibrium points | PLANETS | PRESSURE | BINARY-SYSTEM | SAIL | ELLIPTIC RESTRICTED PROBLEM | LINEAR-STABILITY | alpha Centauri binary star system | 3-BODY PROBLEM | ENGINEERING, AEROSPACE | Stability | Lagrangian equilibrium points | Mathematical analysis | Binary stars | Spacecraft | Control systems | Feedback control | Balloons

Solar balloon | α Centauri binary star system | Artificial equilibrium points | PLANETS | PRESSURE | BINARY-SYSTEM | SAIL | ELLIPTIC RESTRICTED PROBLEM | LINEAR-STABILITY | alpha Centauri binary star system | 3-BODY PROBLEM | ENGINEERING, AEROSPACE | Stability | Lagrangian equilibrium points | Mathematical analysis | Binary stars | Spacecraft | Control systems | Feedback control | Balloons

Journal Article

Astrophysics and Space Science, ISSN 0004-640X, 1/2014, Volume 349, Issue 1, pp. 151 - 164

This paper studies the motion of an infinitesimal mass around triangular equilibrium points in the elliptic restricted three body problem assuming bigger...

Rigid Body | Extraterrestrial Physics, Space Sciences | Astrophysics and Astroparticles | Astrobiology | Elliptical restricted three body problem | Lagrangian points | Cosmology | Dynamical system | Celestial Mechanics | Physics | Astronomy, Observations and Techniques | STABILITY | ASTRONOMY & ASTROPHYSICS | LIBRATION POINTS | Nuclear radiation | Analysis | Studies | Astrophysics | Quantum physics | Radiation | Earth | Satellites | Stability | Eccentricity | Rigid-body dynamics | Orbits | Sun | Three body problem

Rigid Body | Extraterrestrial Physics, Space Sciences | Astrophysics and Astroparticles | Astrobiology | Elliptical restricted three body problem | Lagrangian points | Cosmology | Dynamical system | Celestial Mechanics | Physics | Astronomy, Observations and Techniques | STABILITY | ASTRONOMY & ASTROPHYSICS | LIBRATION POINTS | Nuclear radiation | Analysis | Studies | Astrophysics | Quantum physics | Radiation | Earth | Satellites | Stability | Eccentricity | Rigid-body dynamics | Orbits | Sun | Three body problem

Journal Article

Astrophysics and Space Science, ISSN 0004-640X, 5/2014, Volume 351, Issue 1, pp. 135 - 142

This paper studies the stability of infinitesimal motions about the triangular equilibrium points in the elliptic restricted three body problem assuming bigger...

Extraterrestrial Physics, Space Sciences | Stability | Astrophysics and Astroparticles | Characteristic exponents | Astrobiology | Elliptical restricted three body problem | Lagrangian points | Cosmology | Oblateness | Celestial Mechanics | Physics | Astronomy, Observations and Techniques | ASTRONOMY & ASTROPHYSICS | LINEAR-STABILITY | Nuclear radiation | Analysis | Lagrange multiplier | Orbits | Astrophysics | Stars & galaxies | Numerical analysis | Computer simulation | Exponents | Perturbation methods | Mathematical analysis | Rigid-body dynamics | Mathematical models

Extraterrestrial Physics, Space Sciences | Stability | Astrophysics and Astroparticles | Characteristic exponents | Astrobiology | Elliptical restricted three body problem | Lagrangian points | Cosmology | Oblateness | Celestial Mechanics | Physics | Astronomy, Observations and Techniques | ASTRONOMY & ASTROPHYSICS | LINEAR-STABILITY | Nuclear radiation | Analysis | Lagrange multiplier | Orbits | Astrophysics | Stars & galaxies | Numerical analysis | Computer simulation | Exponents | Perturbation methods | Mathematical analysis | Rigid-body dynamics | Mathematical models

Journal Article

Astrophysics and Space Science, ISSN 0004-640X, 7/2014, Volume 352, Issue 1, pp. 57 - 70

This paper studies the motion and orbital stability of the infinitesimal mass in the vicinity of the equilateral (triangular) Lagrangian points of the elliptic...

Extraterrestrial Physics, Space Sciences | Stability | Astrophysics and Astroparticles | Curves of zero velocity | Astrobiology | Lagrangian points | Cosmology | Elliptical restricted three body problems | Dynamical system | Physics | Radiation pressure | Astronomy, Observations and Techniques | ASTRONOMY & ASTROPHYSICS | LINEAR-STABILITY | BODIES | 3-BODY PROBLEM | Nuclear radiation | Mechanics | Dynamical systems | Astrophysics

Extraterrestrial Physics, Space Sciences | Stability | Astrophysics and Astroparticles | Curves of zero velocity | Astrobiology | Lagrangian points | Cosmology | Elliptical restricted three body problems | Dynamical system | Physics | Radiation pressure | Astronomy, Observations and Techniques | ASTRONOMY & ASTROPHYSICS | LINEAR-STABILITY | BODIES | 3-BODY PROBLEM | Nuclear radiation | Mechanics | Dynamical systems | Astrophysics

Journal Article

Discrete and Continuous Dynamical Systems- Series A, ISSN 1078-0947, 03/2017, Volume 37, Issue 3, pp. 1763 - 1787

We study the Robe's restricted three-body problem. Such a motion was firstly studied by A. G. Robe in [13], which is used to model small oscillations of the...

Restricted three-body problem | Linear stability | Equilibrium point | Maslov-type ω-index | MATHEMATICS | MATHEMATICS, APPLIED | equilibrium point | Maslov-type w-index | INDEX THEORY | LAGRANGIAN SOLUTIONS | linear stability

Restricted three-body problem | Linear stability | Equilibrium point | Maslov-type ω-index | MATHEMATICS | MATHEMATICS, APPLIED | equilibrium point | Maslov-type w-index | INDEX THEORY | LAGRANGIAN SOLUTIONS | linear stability

Journal Article

Astrophysics and Space Science, ISSN 0004-640X, 12/2014, Volume 354, Issue 2, pp. 355 - 368

This paper studies the orbital stability of the infinitesimal mass in the model of elliptical restricted three body problem, considering the effect of...

Extraterrestrial Physics, Space Sciences | Stability | Astrophysics and Astroparticles | Astrobiology | Lagrangian points | Cosmology | Elliptical restricted three body problems | Dynamical system | Physics | Radiation pressure | Astronomy, Observations and Techniques | TRIANGULAR POINTS | MOTION | ASTRONOMY & ASTROPHYSICS | LINEAR-STABILITY | BODIES | R3BP | 3-BODY PROBLEM | Analysis | Radiation | Orbits | Mathematical models | Astrophysics | Dynamical systems | Computation | Mathematical analysis | Orbital stability | Exploration | Mass ratios | Three body problem

Extraterrestrial Physics, Space Sciences | Stability | Astrophysics and Astroparticles | Astrobiology | Lagrangian points | Cosmology | Elliptical restricted three body problems | Dynamical system | Physics | Radiation pressure | Astronomy, Observations and Techniques | TRIANGULAR POINTS | MOTION | ASTRONOMY & ASTROPHYSICS | LINEAR-STABILITY | BODIES | R3BP | 3-BODY PROBLEM | Analysis | Radiation | Orbits | Mathematical models | Astrophysics | Dynamical systems | Computation | Mathematical analysis | Orbital stability | Exploration | Mass ratios | Three body problem

Journal Article

10.
Full Text
Bounded trajectories of a spacecraft near an equilibrium point of a binary asteroid system

Acta Astronautica, ISSN 0094-5765, 05/2015, Volume 110, pp. 313 - 323

With a growing interest in asteroid exploration, combined with the fact that numerous asteroids in nature occur in pairs, it is likely that future missions...

Lagrangian points | Binary asteroid | Lyapunov control | Three body problem | STABILITY | LIBRATION POINTS | DYNAMICS | RESTRICTED 3-BODY PROBLEM | ENGINEERING, AEROSPACE | FULL 2-BODY PROBLEM | Space vehicles | Control systems | Space ships | Analysis | Asteroids | Mathematical analysis | Spacecraft | Exploration | Mathematical models | Trajectories | Binary systems (materials) | Asteroid missions

Lagrangian points | Binary asteroid | Lyapunov control | Three body problem | STABILITY | LIBRATION POINTS | DYNAMICS | RESTRICTED 3-BODY PROBLEM | ENGINEERING, AEROSPACE | FULL 2-BODY PROBLEM | Space vehicles | Control systems | Space ships | Analysis | Asteroids | Mathematical analysis | Spacecraft | Exploration | Mathematical models | Trajectories | Binary systems (materials) | Asteroid missions

Journal Article

Celestial Mechanics and Dynamical Astronomy, ISSN 0923-2958, 8/2011, Volume 110, Issue 4, pp. 343 - 368

This paper introduces a new approach to the study of artificial equilibrium points in the circular restricted three-body problem for propulsion systems with...

Displaced points | Stability | Astrophysics and Astroparticles | Mathematics, general | Radial propulsive acceleration | Dynamical Systems and Ergodic Theory | Artificial Lagrangian equilibrium points | Physics | Astronomy, Observations and Techniques | Generalized sail | DESIGN | SAILCRAFT | PLASMA PROPULSION | TRAJECTORIES | MATHEMATICS, INTERDISCIPLINARY APPLICATIONS | SOLAR ELECTRIC PROPULSION | ASTRONOMY & ASTROPHYSICS | EXPLORATION | ORBITS | SPACECRAFT PROPULSION | HELIOSTATIONARY MISSIONS | CONSTANT RADIAL THRUST | Acceleration | Lagrange multiplier | Astronomy

Displaced points | Stability | Astrophysics and Astroparticles | Mathematics, general | Radial propulsive acceleration | Dynamical Systems and Ergodic Theory | Artificial Lagrangian equilibrium points | Physics | Astronomy, Observations and Techniques | Generalized sail | DESIGN | SAILCRAFT | PLASMA PROPULSION | TRAJECTORIES | MATHEMATICS, INTERDISCIPLINARY APPLICATIONS | SOLAR ELECTRIC PROPULSION | ASTRONOMY & ASTROPHYSICS | EXPLORATION | ORBITS | SPACECRAFT PROPULSION | HELIOSTATIONARY MISSIONS | CONSTANT RADIAL THRUST | Acceleration | Lagrange multiplier | Astronomy

Journal Article

Journal of Differential Equations, ISSN 0022-0396, 2008, Volume 245, Issue 2, pp. 490 - 504

In this work we show that, if is a natural Lagrangian system such that the -jet of the potential energy ensures it does not have a minimum at the equilibrium...

Lagrangian systems | Liapunov stability | Lagrange–Dirichlet theorem | Lagrange-Dirichlet theorem | MATHEMATICS

Lagrangian systems | Liapunov stability | Lagrange–Dirichlet theorem | Lagrange-Dirichlet theorem | MATHEMATICS

Journal Article

International Journal of Pure and Applied Mathematics, ISSN 1311-8080, 2011, Volume 70, Issue 5, pp. 735 - 754

Journal Article

Physical Review Letters, ISSN 0031-9007, 04/2018, Volume 120, Issue 14, p. 140405

Quantum entanglement was termed “spooky action at a distance” in the well-known paper by Einstein, Podolsky, and Rosen. Entanglement is expected to be...

Moon | Lagrangian equilibrium points | Quantum mechanics | Entanglement | Recording | Distributing | Channels

Moon | Lagrangian equilibrium points | Quantum mechanics | Entanglement | Recording | Distributing | Channels

Journal Article

Groundwater, ISSN 0017-467X, 01/2018, Volume 56, Issue 1, pp. 109 - 117

In modeling solute transport with mobile‐immobile mass transfer (MIMT), it is common to use an advection‐dispersion equation (ADE) with a retardation factor,...

DESORPTION | SOILS | GEOSCIENCES, MULTIDISCIPLINARY | GAMBLERS FALLACY | SORPTION | WATER RESOURCES | SUPERFUND SITE | METAL-IONS | ADSORPTION | TIME RANDOM-WALK | SOLUTE TRANSPORT | HOT HAND | Tracking | Approximation | Computer simulation | Lagrangian equilibrium points | Solute movement | Hydrodynamics | Solutes | Particle tracking | Equilibrium | Dispersion | Mass transfer | Plumes | Mass | Advection | Solute transport | Mathematical models | Modelling | MATHEMATICS AND COMPUTING | Earth Sciences | Mathematics | GEOSCIENCES

DESORPTION | SOILS | GEOSCIENCES, MULTIDISCIPLINARY | GAMBLERS FALLACY | SORPTION | WATER RESOURCES | SUPERFUND SITE | METAL-IONS | ADSORPTION | TIME RANDOM-WALK | SOLUTE TRANSPORT | HOT HAND | Tracking | Approximation | Computer simulation | Lagrangian equilibrium points | Solute movement | Hydrodynamics | Solutes | Particle tracking | Equilibrium | Dispersion | Mass transfer | Plumes | Mass | Advection | Solute transport | Mathematical models | Modelling | MATHEMATICS AND COMPUTING | Earth Sciences | Mathematics | GEOSCIENCES

Journal Article

Physical Review Letters, ISSN 0031-9007, 10/2018, Volume 121, Issue 17

Trapping of bodies by waves is extended from electromagnetism to gravity. It is shown that gravitational waves endowed with angular momentum may accumulate...

Trapping | Trojan orbits | Gravitation | Jupiter | Electromagnetism | Coriolis force | Lagrangian equilibrium points | Gravitational waves | Asteroids | Angular momentum

Trapping | Trojan orbits | Gravitation | Jupiter | Electromagnetism | Coriolis force | Lagrangian equilibrium points | Gravitational waves | Asteroids | Angular momentum

Journal Article

Journal of Computational Physics, ISSN 0021-9991, 07/2017, Volume 341, p. 1

We propose a new direct forcing immersed boundary method for simulating the flow around an arbitrarily shaped body in nonuniform grids. A new formulation of...

Simulation | Nonuniform | Laminar flow | Lagrangian equilibrium points | Test procedures | Polynomials | Uniform flow | Computational physics | Weighting functions

Simulation | Nonuniform | Laminar flow | Lagrangian equilibrium points | Test procedures | Polynomials | Uniform flow | Computational physics | Weighting functions

Journal Article

Journal of Computational Physics, ISSN 0021-9991, 01/2019, Volume 376, pp. 160 - 185

In Euler–Lagrange (EL) simulations the force on each particle is obtained from a point-particle model, which is then coupled back to the fluid momentum. The...

Point-particle model | Feedback force | Euler–Lagrange method | Self-induced velocity correction | LAW | SPHERE | MOMENTUM EQUATION | UNSTEADY CONTRIBUTIONS | PHYSICS, MATHEMATICAL | COMPUTER SCIENCE, INTERDISCIPLINARY APPLICATIONS | FORCE | MODELS | TURBULENCE | EQUATION-OF-MOTION | Euler-Lagrange method | Models | Numerical analysis | Analysis | Aerospace engineering | Model testing | Computational fluid dynamics | Computer simulation | Lagrangian equilibrium points | Reynolds number | Fluid flow | Eulers equations | Velocity | Time dependence | Lagrange multiplier | Simulation | Feedback | Mathematical models | Estimating techniques | Numerical prediction

Point-particle model | Feedback force | Euler–Lagrange method | Self-induced velocity correction | LAW | SPHERE | MOMENTUM EQUATION | UNSTEADY CONTRIBUTIONS | PHYSICS, MATHEMATICAL | COMPUTER SCIENCE, INTERDISCIPLINARY APPLICATIONS | FORCE | MODELS | TURBULENCE | EQUATION-OF-MOTION | Euler-Lagrange method | Models | Numerical analysis | Analysis | Aerospace engineering | Model testing | Computational fluid dynamics | Computer simulation | Lagrangian equilibrium points | Reynolds number | Fluid flow | Eulers equations | Velocity | Time dependence | Lagrange multiplier | Simulation | Feedback | Mathematical models | Estimating techniques | Numerical prediction

Journal Article

JOURNAL OF GUIDANCE CONTROL AND DYNAMICS, ISSN 0731-5090, 06/2019, Volume 42, Issue 6, pp. 1343 - 1352

A method to optimize space trajectories subject to impulsive controls is presented. The method employs a high-fidelity model and a multiple-shooting technique....

MOON TRANSFERS | SYSTEM | EARTH | DESIGN | INSTRUMENTS & INSTRUMENTATION | ORBITS | COMPUTATION | NAVIGATION | ENGINEERING, AEROSPACE | NEWTONIAN DYNAMICS | Gravitation theory | Earth gravitation | Trajectory control | Lagrangian equilibrium points | Shooting | Saddle points | Relativity | Aerodynamics | Equations of motion | Sun | Trajectory optimization | Radiation pressure | Solar radiation | Solar oblateness | Accuracy | Acceleration

MOON TRANSFERS | SYSTEM | EARTH | DESIGN | INSTRUMENTS & INSTRUMENTATION | ORBITS | COMPUTATION | NAVIGATION | ENGINEERING, AEROSPACE | NEWTONIAN DYNAMICS | Gravitation theory | Earth gravitation | Trajectory control | Lagrangian equilibrium points | Shooting | Saddle points | Relativity | Aerodynamics | Equations of motion | Sun | Trajectory optimization | Radiation pressure | Solar radiation | Solar oblateness | Accuracy | Acceleration

Journal Article

Journal of Computational Physics, ISSN 0021-9991, 11/2019, Volume 396, Issue C, pp. 596 - 615

In a two-way coupled Euler-Lagrange simulation, particles are approximated as point sources and their momentum and energy exchange with the surrounding flow...

Euler-Lagrange methodology | Point-particle heat transfer model | Self-induced perturbation | VELOCITY | SPHERE | CORRECTION SCHEME | PHYSICS, MATHEMATICAL | FLOW | COMPUTER SCIENCE, INTERDISCIPLINARY APPLICATIONS | DRAG | MODELS | LADEN | TURBULENCE | Models | Numerical analysis | Energy trading | Analysis | Aerospace engineering | Peclet number | Pollution sources | Computer simulation | Lagrangian equilibrium points | Exact solutions | Local flow | Perturbation | Point sources | Simulation | Heat exchange | Thermal evolution | Mathematical models | Heat transfer | Cross flow

Euler-Lagrange methodology | Point-particle heat transfer model | Self-induced perturbation | VELOCITY | SPHERE | CORRECTION SCHEME | PHYSICS, MATHEMATICAL | FLOW | COMPUTER SCIENCE, INTERDISCIPLINARY APPLICATIONS | DRAG | MODELS | LADEN | TURBULENCE | Models | Numerical analysis | Energy trading | Analysis | Aerospace engineering | Peclet number | Pollution sources | Computer simulation | Lagrangian equilibrium points | Exact solutions | Local flow | Perturbation | Point sources | Simulation | Heat exchange | Thermal evolution | Mathematical models | Heat transfer | Cross flow

Journal Article

No results were found for your search.

Cannot display more than 1000 results, please narrow the terms of your search.