Non-linear stability in photogravitational non-planar restricted three body problem with oblate smaller primary

DOI10.1007/S10509-011-0868-6zbMath1270.85003arXiv1109.4206OpenAlexW2005846178MaRDI QIDQ422254

J. Herrera, H. S. Yoon

Publication date: 16 May 2012

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

Full work available at URL: https://arxiv.org/abs/1109.4206

zbMATH Keywords

RTBPphotogravitationalnon-linear stabilitynon-planaroblate primary

Mathematics Subject Classification ID

Two-body problems (70F05) Dynamical systems in other branches of physics (quantum mechanics, general relativity, laser physics) (37N20) Galactic and stellar dynamics (85A05)

Related Items (4)

Unnamed Item ⋮ Unnamed Item ⋮ Unnamed Item ⋮ Normalization of Hamiltonian and nonlinear stability of triangular equilibrium points in the photogravitational restricted three body problem with P-R drag in non-resonance case

Cites Work

• Out-of-plane equilibrium points and stability in the generalised photogravitational restricted three body problem
• Normalization algorithms of Hamiltonian near an equilibrium point
• The stability of the Lagrange triangular point and a theorem of Arnold
• Nonlinear stability in the generalised photogravitational restricted three body problem with Poynting-Robertson drag
• The uniqueness of normal forms via Lie transforms and its applications to Hamiltonian systems
• On the normal behaviour of partially elliptic lower-dimensional tori of Hamiltonian systems
• On the stability of small quasiperiodic motions in the hamiltonian systems
• Canonical transformations depending on a small parameter
• The stability of the triangular Lagrangian points for commensurability of order two
• Stability of and motion aboutL 4 at three-to-one commensurability

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