Lissajous and halo orbits in the restricted three-body problem

DOI10.1007/s00332-015-9232-2zbMath1344.70022OpenAlexW2083203070MaRDI QIDQ2344113

Alessandra Celletti, Danilo Stella, Giuseppe Pucacco

Publication date: 12 May 2015

Published in: Journal of Nonlinear Science (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00332-015-9232-2

zbMATH Keywords

three-body problemLagrangian pointscollinear pointshalo orbitsLissajous orbits

Mathematics Subject Classification ID

Three-body problems (70F07) Dynamical systems in classical and celestial mechanics (37N05) Normal forms, center manifold theory, bifurcation theory for infinite-dimensional dissipative dynamical systems (37L10)

Related Items (16)

Halo orbits around the collinear points of the restricted three-body problem ⋮ Qualitative and analytical results of the bifurcation thresholds to halo orbits ⋮ Bifurcation of Lunisolar Secular Resonances for Space Debris Orbits ⋮ On the semi-analytical construction of halo orbits and halo tubes in the elliptic restricted three-body problem ⋮ Integrability of close encounters in the spatial restricted three-body problem ⋮ Numerical study of the geometry of the phase space of the Augmented Hill Three-Body problem ⋮ A Hopf variables view on the libration points dynamics ⋮ Theory and applications of fast Lyapunov indicators to model problems of celestial mechanics ⋮ Higher order approximation to the Hill problem dynamics about the libration points ⋮ Validated numerics for period-tupling and touch-and-go bifurcations of symmetric periodic orbits in reversible systems ⋮ Universal unfolding of symmetric resonances ⋮ The vicinity of the Earth-Moon \(L_1\) point in the bicircular problem ⋮ Structure of the centre manifold of the \(L_1\), \(L_2\) collinear libration points in the restricted three-body problem ⋮ Persistence of Lagrange invariant tori at tangent degeneracy ⋮ Efficient and accurate KAM tori construction for the dissipative spin-orbit problem using a map reduction ⋮ Transits close to the Lagrangian solutions L ₁, L ₂ in the elliptic restricted three-body problem

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