Regular and chaotic orbits near a massive magnetic dipole
arXiv:1301.1831 · doi:10.1088/0264-9381/30/2/025010
Abstract
Within the framework of Bonnor's exact solution describing a massive magnetic dipole, we study the motion of neutral and electrically charged test particles. In dependence on the Bonnor spacetime parameters, we determine regions enabling the existence of stable circular orbits confined to the equatorial plane and of those levitating above the equatorial plane. Constructing Poincaré surfaces of section and recurrence plots, we also investigate the dynamics of particles moving along general off-equatorial trajectories bound in effective potential wells forming around the stable circular orbits. We demonstrate that the motion in the Bonnor spacetime is not integrable. This extends previous investigations of generalized Störmer's problem into the realm of exact solutions of Einstein-Maxwell equations, where the gravitational and electromagnetic effects play a comparable role on the particle motion.
27 pages, 14 figures
References in corpus (24)
- Recurrence Plots for the Analysis of Complex Systems
- Motion of charged test particles in Reissner--Nordström spacetime
- Circular motion of neutral test particles in Reissner-Nordström spacetime
- Equatorial circular motion in Kerr spacetime
- Transition from Regular to Chaotic Circulation in Magnetized Coronae near Compact Objects
- Off-equatorial orbits in strong gravitational fields near compact objects -- II: halo motion around magnetic compact stars and magnetized black holes
- Chaotic motion of Charged Particles in an Electromagnetic Field Surrounding a Rotating Black Hole
- Off-equatorial orbits in strong gravitational fields near compact objects
- Black diholes
- Free motion around black holes with discs or rings: between integrability and chaos - II
- Exact Solution for the Exterior Field of a Rotating Neutron Star
- The non-integrability of the Zipoy-Voorhees metric
- The double-Reissner-Nordstrom solution and the interaction force between two spherically symmetric charged particles
- Role of electric charge in shaping equilibrium configurations of fluid tori encircling black holes
- Realistic Exact Solution for the Exterior Field of a Rotating Neutron Star
- String loops in the field of braneworld spherically symmetric black holes and naked sigularities
- Chaotic dynamics around astrophysical objects with nonisotropic stresses
- Frame dragging, vorticity and electromagnetic fields in axially symmetric stationary spacetimes
- Generalizations of the Störmer Problem for Dust Grain Orbits
- Charged massive particle at rest in the field of a Reissner-Nordström black hole
- Chaotic Motion Around Prolate Deformed Bodies
- Revised research about chaotic dynamics in Manko et al. spacetime
- On the equilibrium of a charged massive particle in the field of a Reissner-Nordström black hole
- Charged massive particle at rest in the field of a Reissner-Nordström black hole. II. Analysis of the field lines and the electric Meissner effect
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- Equatorial circular orbits of neutral test particles in the Kerr--Newman spacetime
- Charged particle dynamics in parabolic magnetosphere around Schwarzschild black hole
- Inducing chaos by breaking axial symmetry in a black hole magnetosphere
- Free motion around black holes with discs or rings: between integrability and chaos - III
- Near-horizon structure of escape zones of electrically charged particles around weakly magnetized rotating black hole
- Electromagnetic field and chaotic charged-particle motion around hairy black holes in Horndeski gravity
- Dynamics of current-carrying string loops in the Kerr naked-singularity and black-hole spacetimes
- Adjusting chaotic indicators to curved spacetimes
- RADs energetics and constraints on emerging tori collisions around super-massive Kerr Black Holes
- Recurrence Analysis as a tool to study chaotic dynamics of extreme mass ratio inspiral in signal with noise
- Carter-constant induced mechanism for generation of anisotropic kinetic equilibria in collisionless N-body systems
- Magnification effect of Kerr metric by configurations of collisionless particles in non-isotropic kinetic equilibria
- Third type of spacetime with the coexistence of integrability and non-integrability
- Regular and Chaotic Motion in General Relativity: The Case of a Massive Magnetic Dipole
- A Visualization of Null Geodesics for the Bonnor Massive Dipole
- Charged fluids encircling compact objects: force representations and conformal geometries
- Chaotic motion of particles around a dyonic Kerr-Newman black hole immersed in the Melvin-swirling universe
- On geodesic dynamics in deformed black-hole fields