BIFURCATIONS FROM PLANAR TO THREE-DIMENSIONAL PERIODIC ORBITS IN THE PHOTO-GRAVITATIONAL RESTRICTED FOUR-BODY PROBLEM

DOI10.1142/S0218127408020392zbMath1146.70008OpenAlexW2039444608MaRDI QIDQ3520746

Telemachus J. Kalvouridis, K. G. Hadjifotinou

Publication date: 26 August 2008

Published in: International Journal of Bifurcation and Chaos (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1142/s0218127408020392

zbMATH Keywords

parametric variationsmethod of vertical critical stability

Mathematics Subject Classification ID

Bifurcations and instability for nonlinear problems in mechanics (70K50) Waves and radiation in optics and electromagnetic theory (78A40) (n)-body problems (70F10)

Related Items (8)

BIFURCATIONS FROM PLANAR TO THREE-DIMENSIONAL PERIODIC ORBITS IN THE RING PROBLEM OF N BODIES WITH RADIATING CENTRAL PRIMARY ⋮ On the evolution of balloon satellite motions in a plane restricted planetary four-body problem with light pressure ⋮ Analytical study on the motions around equilibrium points of restricted four-body problem ⋮ Particle dynamics in a Maxwell's ring-type configuration with a radiating central primary ⋮ Periodic orbits in the concentric circular restricted four-body problem and their invariant manifolds ⋮ Dynamical aspects of an equilateral restricted four-body problem ⋮ BIFURCATIONS IN THE TOPOLOGY OF ZERO-VELOCITY SURFACES IN THE PHOTO-GRAVITATIONAL COPENHAGEN PROBLEM ⋮ Radiation effect on a particle's periodic orbits in a regular polygon configuration of \(N\) bodies

Cites Work

• Dynamical properties of the restricted four-body problem with radiation pressure
• Periodic solutions around the collinear Lagrangian points in the photogravitational restricted three-body problem: Sun-Jupiter case
• Comparison of numerical methods for the integration of natural satellite systems
• Ejection-collision orbits and invariant punctured tori in a restricted four-body problem
• NUMERICAL INVESTIGATION OF PERIODIC MOTION IN THE THREE-DIMENSIONAL RING PROBLEM OF N BODIES
• Dynamical Effects of Radiation in the Solar System

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