A Hopf variables view on the libration points dynamics
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Publication:1684368
DOI10.1007/s10569-017-9778-4zbMath1375.70047arXiv1703.02887OpenAlexW2594142014MaRDI QIDQ1684368
Publication date: 8 December 2017
Published in: Celestial Mechanics and Dynamical Astronomy (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1703.02887
periodic orbitsperturbation theorycenter manifoldlibration pointsHill's problemLissajous variablesresonant normal formelliptic oscillatorHopf variables
Related Items (2)
Higher order approximation to the Hill problem dynamics about the libration points ⋮ Structure of the centre manifold of the \(L_1\), \(L_2\) collinear libration points in the restricted three-body problem
Cites Work
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- Mission design through averaging of perturbed Keplerian systems: the paradigm of an Enceladus orbiter
- Canonical modelling of relative spacecraft motion via epicyclic orbital elements
- Canonical perturbation theories. Degenerate systems and resonance
- Fast estimation of stable regions in real models
- Effective stability for a Hamiltonian system near an elliptic equilibrium point, with an application to the restricted three body problem
- Hill's problem: Families of three-dimensional periodic orbits (Part I)
- The Lissajous transformation. I: Basics
- The Lissajous transformation. II: Normalization
- The Lissajous transformation. III: Parametric bifurcations
- On resonant non linearly coupled oscillators with two equal frequencies
- New families of periodic orbits in Hill's problem of three bodies
- Central stable/unstable manifolds and the destruction of KAM tori in the planar Hill problem
- Dynamics in the center manifold of the collinear points of the restricted three-body problem
- Lissajous and halo orbits in the restricted three-body problem
- Bifurcation Sequences in the Symmetric 1:1 Hamiltonian Resonance
- Geometry of the bifurcations of the normalized reduced Henon–Heiles family
- Three-dimensional periodic solutions around equilibrium points in Hill's problem
- Analytic construction of periodic orbits about the collinear points
- Formal integrals for an autonomous Hamiltonian system near an equilibrium point
- High-order expansions of invariant manifolds of libration point orbits with applications to mission design
- The invariant manifold structure of the spatial Hill's problem
- On the numerical continuation of periodic orbits
- Computation of Periodic Solutions of Conservative Systems with Application to the 3-Body Problem
- Series expansions for encounter-type solutions of Hill's problem
- Canonical transformations depending on a small parameter
- Periodic orbits emanating from a resonant equilibrium
- The main problem of artificial satellite theory for small and moderate eccentricities
- Quasi-periodic orbits about the translunar libration point
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