Periodic orbits generated by Lagrangian solutions of the restricted three body problem when one of the primaries is an oblate body

DOI10.1007/s10509-008-9942-0zbMath1172.85001OpenAlexW2089500195MaRDI QIDQ835522

Amit Mittal, Iqbal Ahmad, K. B. Bhatnagar

Publication date: 28 August 2009

Published in: Astrophysics and Space Science (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10509-008-9942-0

zbMATH Keywords

periodic orbitsrestricted three-body problemoblate body

Mathematics Subject Classification ID

Three-body problems (70F07) Galactic and stellar dynamics (85A05)

Related Items (7)

A study of periodic orbits near Europa ⋮ Periodic orbits in the generalized photogravitational Chermnykh-like problem with power-law profile ⋮ The effect of photogravitational force and oblateness in the perturbed restricted three-body problem ⋮ The effect of oblateness in the perturbed restricted three-body problem ⋮ On the perturbed restricted three-body problem ⋮ The effect of zonal harmonics on dynamical structures in the circular restricted three-body problem near the secondary body ⋮ Periodic orbits in the photogravitational restricted problem with the smaller primary an oblate body

Cites Work

• Critical symmetric periodic orbits in the photogravitational restricted three-body problem
• Families of asymmetric periodic orbits in Hill's problem of three bodies
• Three-dimensional bifurcations of periodic solutions around the triangular equilibrium points of the restricted three-body problem
• Existence and stability of libration points in the restricted three-body problem when the smaller primary is a triaxial rigid body and the bigger one an oblate spheroid
• Periodic orbits in the restricted three-body problem with radiation pressure
• New families of periodic orbits in Hill's problem of three bodies
• Exact periodic orbits and chaos in polynomial potentials
• New periodic solutions for 3-body problems
• Periodic motions generated by Lagrangian solutions of the circular restricted three-body problem
• Existence of periodic orbits in the restricted problem of three bodies when the more massive body is a source of radiation and the smaller primary is a triaxial rigid body
• Bifurcations of plane to 3D periodic orbits in the restricted three-body problem with oblateness
• The manifolds of families of 3D periodic orbits associated to Sitnikov motions in the restricted three-body problem
• Periodic orbits
• Families of periodic orbits in the planar three-body problem
• The stability of periodic orbits in the three-body problem
• The continuation of periodic orbits from the restricted to the general three-body problem
• Numerical investigation of the planar restricted three-body problem
• BURRAU'S PROBLEM OF THREE BODIES
• Periodic orbits near ?4 for mass ratios near the critical mass ratio of routh

This page was built for publication: Periodic orbits generated by Lagrangian solutions of the restricted three body problem when one of the primaries is an oblate body