On Sitnikov-like motions generating new kinds of 3D periodic orbits in the R3BP with prolate primaries

DOI10.1007/s10509-011-0807-6zbMath1238.85008OpenAlexW1989464801MaRDI QIDQ422157

Christos N. Douskos, Vassilis S. Kalantonis, Panagiotis Markellos, E. A. Perdios

Publication date: 16 May 2012

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

Full work available at URL: https://doi.org/10.1007/s10509-011-0807-6

zbMATH Keywords

equilibrium pointsR3BP3D periodic orbitsprolate primariesrectilinear motions

Mathematics Subject Classification ID

Two-body problems (70F05) Galactic and stellar dynamics (85A05)

Related Items (5)

On the spatial collinear restricted four-body problem with non-spherical primaries ⋮ Basins of Convergence in the Circular Sitnikov Four-Body Problem with Nonspherical Primaries ⋮ On `out of plane' equilibrium points in the elliptic restricted three-body problem with radiating and oblate primaries ⋮ On the convergence dynamics of the Sitnikov problem with non-spherical primaries ⋮ Basins of Convergence of Equilibrium Points in the Generalized Hill Problem

Cites Work

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• On the circular Sitnikov problem: the alternation of stability and instability in the family of vertical motions
• Straight-line oscillations generating three-dimensional motions in the photogravitational restricted three-body problem
• Collinear equilibrium points of Hill's problem with radiation and oblateness and their fractal basins of attraction
• On the families of periodic orbits which bifurcate from the circular Sitnikov motions
• The manifolds of families of 3D periodic orbits associated to Sitnikov motions in the restricted three-body problem
• Collinear equilibria and their characteristic exponents in the restricted three-body problem when the primaries are oblate spheroids
• Symmetries and bifurcations in the Sitnikov problem

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