Computing with certainty individual members of families of periodic orbits of a given period.

DOI10.1023/A:1011970019812zbMath1090.70003MaRDI QIDQ5955269

E. A. Perdios, Angela E. Perdiou, Michael N. Vrahatis, V. S. Kalatonis

Publication date: 2001

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

zbMATH Keywords

fixed pointsperiodic orbitsdynamical systemstopological degreePoincaré mapgeneralized bisection methodphotogravitational problemsurface of section

Mathematics Subject Classification ID

Three-body problems (70F07) Computational methods for problems pertaining to mechanics of particles and systems (70-08) Celestial mechanics (70F15) Dynamical systems in classical and celestial mechanics (37N05) Topological and differential topological methods for problems in mechanics (70G40)

Related Items (5)

STUDYING THE BASIN OF CONVERGENCE OF METHODS FOR COMPUTING PERIODIC ORBITS ⋮ The equilibrium points in the perturbed R3BP with triaxial and luminous primaries ⋮ Stability of equilibrium points in the generalized perturbed restricted three-body problem ⋮ Topological degree theory and local analysis of area preserving maps ⋮ Periodic solutions around the collinear equilibrium points in the perturbed restricted three-body problem with triaxial and radiating primaries for binary HD 191408, Kruger 60 and HD 155876 systems

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