Singularities and Dynamics Aspects of a Particle in a Gravitational Field of a Central Punctual Body Surrounded by a Solid Circular Ring

DOI10.1137/18M1179274zbMath1446.70032OpenAlexW2907420921WikidataQ128642362 ScholiaQ128642362MaRDI QIDQ4631517

Claudio Vidal, Angelo Alberti

Publication date: 29 March 2019

Published in: SIAM Journal on Applied Dynamical Systems (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1137/18m1179274

zbMATH Keywords

singularitiesphase portraitscollisionsgravitational attraction of a particle by a homogeneous ring with a central body

Mathematics Subject Classification ID

Celestial mechanics (70F15) Dynamical systems in classical and celestial mechanics (37N05) Collisions in celestial mechanics, regularization (70F16)

Related Items (1)

Dynamics of a point in the axisymmetric gravitational potential of a massive fixed ring and center

Cites Work

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• Numerical analysis of periodic solutions and bifurcations in the planetary annulus problem
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• The existence of noncollision singularities in Newtonian systems
• Orbital perturbations due to massive rings
• Periodic orbits around a massive straight segment
• Dynamics of a particle under the gravitational potential of a massive annulus: properties and equilibrium description
• Singularities in the gravitational attraction problem due to massive bodies
• The dynamics of orbits in a potential field of a solid circular ring
• The existence of pseudocollisions in the plane
• The electrostatic potential of a uniformly charged ring

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