Dynamics of a particle in a gravitational field of a homogeneous annulus disk

DOI10.1007/s10569-007-9071-zzbMath1330.70071OpenAlexW2023208298MaRDI QIDQ885660

Angelo Alberti, Claudio Vidal

Publication date: 14 June 2007

Published in: Celestial Mechanics and Dynamical Astronomy (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10569-007-9071-z

zbMATH Keywords

dynamicssymmetriescircular solutionsgravitational attraction of a particle by a homogeneous annulus disk

Mathematics Subject Classification ID

Celestial mechanics (70F15) Dynamical systems in classical and celestial mechanics (37N05)

Related Items (12)

Numerical analysis of periodic solutions and bifurcations in the planetary annulus problem ⋮ Dynamics of a particle under the gravitational potential of a massive annulus: properties and equilibrium description ⋮ Order and chaos near equilibrium points in the potential of rotating highly irregular-shaped celestial bodies ⋮ Orbital perturbations due to massive rings ⋮ Equilibrium points and periodic orbits in the vicinity of asteroids with an application to 216 Kleopatra ⋮ Equilibria, periodic orbits around equilibria, and heteroclinic connections in the gravity field of a rotating homogeneous cube ⋮ Computation of families of periodic orbits and bifurcations around a massive annulus ⋮ Some Trajectories of a Point in the Potential of a Fixed Ring and Center ⋮ Fast computation of complete elliptic integrals and Jacobian elliptic functions ⋮ Periodic orbits in the gravity field of a fixed homogeneous cube ⋮ Singularities and Dynamics Aspects of a Particle in a Gravitational Field of a Central Punctual Body Surrounded by a Solid Circular Ring ⋮ Dynamics of a point in the axisymmetric gravitational potential of a massive fixed ring and center

Cites Work

• On the families of periodic orbits which bifurcate from the circular Sitnikov motions
• Periodic orbits around a massive straight segment
• The dynamics of orbits in a potential field of a solid circular ring
• The gravitational potential due to uniform disks and rings
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