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We consider the generalized St\"ormer Problem that includes the electromagnetic and gravitational forces on a charged dust grain near a planet. For dust grains a typical charge to mass ratio is such that neither force can be neglected.…

Chaotic Dynamics · Physics 2007-05-23 H. R. Dullin , M. Horányi , J. E. Howard

We study the stability of charged dust grains orbiting a planet and subject to gravity and the electromagnetic force. Our numerical models cover a broad range of launch distances from the planetary surface to beyond synchronous orbit, and…

Earth and Planetary Astrophysics · Physics 2012-01-18 Daniel Jontof-Hutter , Douglas P. Hamilton

We investigate the relativistic generalization of the classical St\"{o}rmer problem, which describes the motion of charged particles in a purely magnetic dipole field. By incorporating special relativistic effects, the particle dynamics is…

High Energy Astrophysical Phenomena · Physics 2026-05-07 Tiberiu Harko , Francisco S. N. Lobo

Circular motion of particles, dust grains and fluids in the vicinity of compact objects has been investigated as a model for accretion of gaseous and dusty environment. Here we further discuss, within the framework of general relativity,…

High Energy Astrophysical Phenomena · Physics 2014-07-04 Ondřej Kopáček , Jiří Kovář , Vladimír Karas , Yasufumi Kojima

The different types of orbits in the classical problem of two particles with equal masses and opposite charges on a plane under the influence of a constant orthogonal magnetic field are classified. The equations of the system are reduced to…

Mathematical Physics · Physics 2020-02-03 M. A. Gonzalez Leon , J. Mateos Guilarte , M. de la Torre Mayado

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…

General Relativity and Quantum Cosmology · Physics 2013-01-10 Jiří Kovář , Ondřej Kopáček , Vladimí Karas , Yasufumi Kojima

Equatorial circular geodesic orbits of neutral test particles in the exterior spacetime of a charged rotating disc of dust are analyzed in dependence of its specific charge and a relativity parameter. The charged rotating disc of dust is an…

General Relativity and Quantum Cosmology · Physics 2024-09-06 David Rumler

This work presents the dynamic properties of charged test particles influenced by the gravitational and electromagnetic fields. Accordingly, in this work, we concentrate on the static and axially symmetric metric containing two quadrupole…

High Energy Astrophysical Phenomena · Physics 2025-02-14 Shokoufe Faraji , Audrey Trova

We consider a generalization of the classical nonrelativistic St\"{o}rmer problem, describing the motion of charged particles in a purely magnetic dipole field, by taking into account the effects of the dissipation, assumed to be of…

High Energy Astrophysical Phenomena · Physics 2026-04-28 Tiberiu Harko , Gabriela Raluca Mocanu

We discuss the motion of electrically and magnetically charged particles in the electromagnetic swirling universe. We show that the equations of motion can be decoupled in the Hamilton-Jacobi formalism, revealing the existence of a fourth…

General Relativity and Quantum Cosmology · Physics 2024-07-08 Rogério Capobianco , Betti Hartmann , Jutta Kunz

We study the radial and vertical stability of dust grains launched with all charge-to-mass ratios at arbitrary distances from rotating planets with complex magnetic fields. We show that the aligned dipole magnetic field model analyzed by…

Earth and Planetary Astrophysics · Physics 2012-06-06 Daniel Jontof-Hutter , Douglas P. Hamilton

The problem of the charged-particle motion in an axisymmetric magnetic-dipole geometry is used to assess the validity of Hamiltonian guiding-center theory, which includes higher-order corrections associated with guiding-center polarization…

Plasma Physics · Physics 2022-02-16 Alain J Brizard , Danielle G Markowski

The behaviour of charged spinning test particles moving along circular orbits in the equatorial plane of the Reissner-Nordstr\"om spacetime is studied in the framework of the Dixon-Souriau model completed with standard choices of…

General Relativity and Quantum Cosmology · Physics 2015-06-22 Donato Bini , Fernando de Felice , Andrea Geralico

The post-Newtonian orbital effects induced by the mass quadrupole and spin octupole moments of an isolated, oblate spheroid of constant density that is rigidly and uniformly rotating on the motion of a test particle are analytically worked…

General Relativity and Quantum Cosmology · Physics 2024-01-31 Lorenzo Iorio

A self-consistent statistical approach to the problem of planetary and stellar magnetism is suggested. The mechanism of magnetic field generation in the astronomical objects, where the existence of fields is associated with the axial…

Astrophysics · Physics 2015-06-24 S. N. Arteha

Near a black hole or an ultracompact star, motion of particles is governed by strong gravitational field. Electrically charged particles feel also electromagnetic force arising due to currents inside the star or plasma circling around. We…

Astrophysics · Physics 2009-06-23 Jiri Kovar , Zdenek Stuchlik , Vladimir Karas

A new exact magnetized solution describing a Kiselev black hole immersed in a magnetic field is used for studying the dynamics of charged particles. Different types of trajectories are discussed. In the particular case of a weak magnetic…

General Relativity and Quantum Cosmology · Physics 2025-03-03 Vitalie Lungu , Marina-Aura Dariescu , Cristian Stelea

We investigate the effects of space noncommutativity and the generalized uncertainty principle on the stability of circular orbits of particles in both a central force potential and Schwarzschild spacetime. We find noncommutative form of…

General Relativity and Quantum Cosmology · Physics 2008-11-26 Kourosh Nozari , Siamak Akhshabi

Active particles with a (magnetic) dipole moment are of interest for steering self-propelled motion, but also result in novel collective effects due to their dipole-dipole interaction. Here systems of active dipolar particles are studied…

Soft Condensed Matter · Physics 2025-12-30 Vitali Telezki , Stefan Klumpp

Extrasolar circumbinary planets are so called because they orbit two stars instead of just one; to date, an increasing number of such planets have been discovered with a variety of techniques. If the orbital frequency of the hosting stellar…

General Relativity and Quantum Cosmology · Physics 2022-10-24 Lorenzo Iorio
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