The dynamics around the collinear points of the elliptic three-body problem: a normal form approach

DOI10.1016/J.PHYSD.2024.134302MaRDI QIDQ6599873

Giuseppe Pucacco, Christoph Lhotka, Alessandra Celletti

Publication date: 6 September 2024

Published in: Physica D (Search for Journal in Brave)

zbMATH Keywords

resonant normal formhalo orbitLissajous orbitLagrangian pointrotating-pulsating Hamiltonian

Mathematics Subject Classification ID

Three-body problems (70F07) Hamilton's equations (70H05)

Cites Work

• Title not available (Why is that?)
• Qualitative and analytical results of the bifurcation thresholds to halo orbits
• Stability of two groups of multi-revolution elliptic halo orbits in the elliptic restricted three-body problem
• Dynamics in the center manifold of the collinear points of the restricted three-body problem
• Structure of the centre manifold of the \(L_1\), \(L_2\) collinear libration points in the restricted three-body problem
• Lissajous and halo orbits in the restricted three-body problem
• Halo orbits around the collinear points of the restricted three-body problem
• An energy-momentum map for the time-reversal symmetric 1:1 resonance with \(\mathbb Z_2{\times}\mathbb Z_2\) symmetry
• Stability and Chaos in Celestial Mechanics
• Analytic construction of periodic orbits about the collinear points
• Stability of periodic orbits in the elliptic, restricted three-body problem.
• Low Energy Transit Orbits in the Restricted Three-Body Problems
• Averaging methods in nonlinear dynamical systems
• The dynamics around the collinear equilibrium points of the RTBP

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