Parametric stability in a P+2-body problem

DOI10.1007/S10884-017-9570-XzbMath1394.70035OpenAlexW2586110745MaRDI QIDQ1663180

Hildeberto E. Cabral, Gerson Cruz Araujo

Publication date: 21 August 2018

Published in: Journal of Dynamics and Differential Equations (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10884-017-9570-x

zbMATH Keywords

parametric stabilityrestricted problem

Mathematics Subject Classification ID

Three-body problems (70F07) Celestial mechanics (70F15) Dynamical systems in classical and celestial mechanics (37N05)

Related Items (6)

On the parametric stability of the isosceles triangular libration points in the planar elliptical charged restricted three-body problem ⋮ Parametric stability of a double pendulum with variable length and with its center of mass in an elliptic orbit ⋮ Parametric stability of a charged pendulum with oscillating suspension point ⋮ Parametric Resonance in the Oscillations of a Charged Pendulum Inside a Uniformly Charged Circular Ring ⋮ Parametric resonance of a charged pendulum with a suspension point oscillating between two vertical charged lines ⋮ Parametric stability of a charged pendulum with an oscillating suspension point

Cites Work

• Unnamed Item
• A permutation related to non-compact global attractors for slowly non-dissipative systems
• On the existence of periodic orbits for the fixed homogeneous circle problem
• Introduction to Hamiltonian dynamical systems and the \(N\)-body problem.
• Linear stability of relative equilibria with a dominant mass
• Restricted \(N+1\)-body problem: existence and stability of relative equilibria

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