Symmetric periodic orbits in the Moulton-Copenhagen problem

DOI10.1007/s10569-019-9893-5zbMath1451.70026OpenAlexW2924049191WikidataQ128189599 ScholiaQ128189599MaRDI QIDQ2005611

Antonio Elipe, Manuel Palacios, Mercedes Arribas, Alberto Abad

Publication date: 8 October 2020

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

Full work available at URL: https://doi.org/10.1007/s10569-019-9893-5

zbMATH Keywords

four-body problemcharacteristic curvessymmetric periodic orbitsasymptotic orbitsMoulton-Copenhagen problem

Mathematics Subject Classification ID

(n)-body problems (70F10)

Related Items (5)

On the spatial collinear restricted four-body problem with non-spherical primaries ⋮ Unnamed Item ⋮ Evolution of the characteristic curves in the restricted three-body problem in terms of the mass parameter ⋮ Equilibrium points and their stability in a new generalized planar version of the collinear restricted four-body problem ⋮ The circular restricted 4-body problem with three equal primaries in the collinear central configuration of the 3-body problem

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Systematic search of symmetric periodic orbits in 2DOF Hamiltonian systems
• On the figure-8 periodic solutions in the three-body problem
• Dynamical properties of the restricted four-body problem with radiation pressure
• Asymmetric periodic orbits in the photogravitational Copenhagen problem
• Periodic orbits of the second kind in the restricted three-body problem when the more massive primary is an oblate spheroid
• On the restricted three-body problem with generalized forces
• Ejection-collision orbits and invariant punctured tori in a restricted four-body problem
• Families of periodic orbits in the photogravitational three-body problem
• Periodic orbits in the restricted three-body problem with radiation pressure
• Spatial collinear restricted four-body problem with repulsive Manev potential
• Spatial periodic orbits in the equilateral circular restricted four-body problem: computer-assisted proofs of existence
• Periodic orbits in the restricted four-body problem with two equal masses
• Two notes on the copenhagen problem
• The effect of perturbations in coriolis and centrifugal forces on the nonlinear stability of equilibrium points in the restricted problem of three bodies
• Homoclinic and heteroclinic solutions in the restricted three-body problem
• A grid search for families of periodic orbits in the restricted problem of three bodies
• The effect of oblateness of the bigger primary on collinear libration points in the restricted problem of three bodies
• Braids in classical dynamics
• The restricted 3-body problem with radiation pressure
• An algorithm with guaranteed convergence for finding a zero of a function
• [https://portal.mardi4nfdi.de/wiki/Publication:5675367 Proof of a conjecture of E. Str�mgren]
• A remarkable periodic solution of the three-body problem in the case of equal masses
• Secular solutions at triangular equilibrium point in the generalized photogravitational restricted three-body problem

This page was built for publication: Symmetric periodic orbits in the Moulton-Copenhagen problem