Motion around the triangular equilibrium points of the restricted three-body problem under angular velocity variation

DOI10.1007/S10509-005-5158-8zbMath1104.85003OpenAlexW2074198044MaRDI QIDQ852420

K. E. Papadakis

Publication date: 29 November 2006

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

Full work available at URL: https://doi.org/10.1007/s10509-005-5158-8

zbMATH Keywords

angular velocityrestricted three-body problemlong- and short-period familiesTrojan manifold

Mathematics Subject Classification ID

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

Related Items (6)

On the Chermnykh-like problems. II. The equilibrium points ⋮ Periodic orbits in the generalized photogravitational Chermnykh-like problem with power-law profile ⋮ Existence of equilibrium points and their linear stability in the generalized photogravitational Chermnykh-like problem with power-law profile ⋮ Trajectories of \(L _{4}\) and Lyapunov characteristic exponents in the generalized photogravitational Chermnykh-like problem ⋮ Trajectory and stability of Lagrangian point \(L_{2}\) in the Sun-Earth system ⋮ Linear stability of equilibrium points in the generalized photogravitational Chermnykh's problem

Cites Work

• Unnamed Item
• Three-dimensional bifurcations of periodic solutions around the triangular equilibrium points of the restricted three-body problem
• Nonlinear stability of the Lagrangian libration points in the Chermnykh problem
• Families of periodic orbits emanating from homoclinic orbits in the restricted problem of three bodies
• The web of periodic orbits at \(L_4\)
• On Brown's conjecture
• Some manifolds of periodic orbits in the restricted three-body problem
• BURRAU'S PROBLEM OF THREE BODIES
• The Trojan Manifold — Survey and Conjectures

This page was built for publication: Motion around the triangular equilibrium points of the restricted three-body problem under angular velocity variation