Numerical analysis of periodic solutions and bifurcations in the planetary annulus problem

DOI10.1016/j.amc.2013.10.029zbMath1358.70020OpenAlexW2021243575MaRDI QIDQ275824

Antonio Elipe, Andrés Riaguas, Eva Tresaco

Publication date: 26 April 2016

Published in: Applied Mathematics and Computation (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.amc.2013.10.029

zbMATH Keywords

periodic solutionsbifurcationsannuluselliptic integrals

Mathematics Subject Classification ID

Celestial mechanics (70F15) Dynamical systems in classical and celestial mechanics (37N05) Numerical bifurcation problems (65P30) Elliptic functions and integrals (33E05)

Related Items (2)

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

Uses Software

• AUTO
• wavetrain

Cites Work

• Computation of families of periodic orbits and bifurcations around a massive annulus
• Numerical continuation methods for studying periodic travelling wave (wavetrain) solutions of partial differential equations
• Fast computation of incomplete elliptic integral of first kind by half argument transformation
• Generalized elliptic-type integrals and their representations
• Dynamics of a particle in a gravitational field of a homogeneous annulus disk
• Dynamics of a particle under the gravitational potential of a massive annulus: properties and equilibrium description
• The dynamics of orbits in a potential field of a solid circular ring
• The gravitational field of a disk
• The gravitational potential due to uniform disks and rings
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