Nonlinear stability of the libration points in the photogravitational restricted three body problem

DOI10.1007/BF00691974zbMath0810.70008OpenAlexW2090798515MaRDI QIDQ1341043

Zuzanna Niedzielska

Publication date: 2 January 1995

Published in: Celestial Mechanics and Dynamical Astronomy (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf00691974

zbMATH Keywords

parameter spacetriangular libration pointsdomains of instabilityfirst order resonancessecond order resonances

Mathematics Subject Classification ID

Three-body problems (70F07) Stability for nonlinear problems in mechanics (70K20) Waves and radiation in optics and electromagnetic theory (78A40)

Related Items (13)

BIFURCATIONS FROM PLANAR TO THREE-DIMENSIONAL PERIODIC ORBITS IN THE RING PROBLEM OF N BODIES WITH RADIATING CENTRAL PRIMARY ⋮ Effect of perturbations on the non linear stability of triangular points in the restricted three-body problem with variable mass ⋮ Combined effects of perturbations, radiation, and oblateness on the nonlinear stability of triangular points in the restricted three-body problem ⋮ Particle dynamics in a Maxwell's ring-type configuration with a radiating central primary ⋮ Straight-line oscillations generating three-dimensional motions in the photogravitational restricted three-body problem ⋮ Nonlinear stability of equilibrium points in the restricted three-body problem with variable mass ⋮ Nonlinear stability in the restricted three-body problem with oblate and variable mass ⋮ Normalization of Hamiltonian in the generalized photogravitational restricted three body problem with Poynting-Robertson drag ⋮ Stability of a Hamiltonian system in a limiting case ⋮ Analytical treatment of the relativistic and solar radiation pressure effects on an artificial satellite ⋮ On some new aspects of the photo-gravitational Copenhagen 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

• Unnamed Item
• About stability of libration points in the restricted photogravitational three body problem
• The restricted 3-body problem with radiation pressure
• Canonical transformations depending on a small parameter
• On the stability of the triangular libration points for the photogravitational circular restricted problem of three bodies when both of the attracting bodies are radiating as well

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