Multiple poincaré sections method for finding the quasiperiodic orbits of the restricted three body problem

DOI10.1007/s10569-011-9383-xzbMath1266.70012OpenAlexW2098433621MaRDI QIDQ1955972

Egemen Kolemen, N. Jeremy Kasdin, Pini Gurfil

Publication date: 19 June 2013

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

Full work available at URL: https://doi.org/10.1007/s10569-011-9383-x

zbMATH Keywords

restricted three-body problemPoincaré sectionLissajous orbitquasiperiodic orbitquasi-halo

Mathematics Subject Classification ID

Three-body problems (70F07) Quasi-periodic motions and invariant tori for nonlinear problems in mechanics (70K43) Discretization methods and integrators (symplectic, variational, geometric, etc.) for dynamical systems (37M15)

Related Items (13)

Bounded relative motion under zonal harmonics perturbations ⋮ A general method for the generation and extension of collinear libration point orbits ⋮ Theorem of optimal image trajectories in the restricted problem of three bodies ⋮ Describing relative motion near periodic orbits via local toroidal coordinates ⋮ A novel algorithm for generating libration point orbits about the collinear points ⋮ Quasi-terminator orbits near primitive bodies. ⋮ Satellites' orbits in the Sun-Earth-Moon system ⋮ Analysis of the relative dynamics of a charged spacecraft moving under the influence of a magnetic field ⋮ Planar low-energy asteroid and comet transit analysis using isolating blocks ⋮ Natural motion around the martian Moon phobos: the dynamical substitutes of the libration point orbits in an elliptic three-body problem with gravity harmonics ⋮ Automated stable region generation, detection, and representation for applications to mission design ⋮ Computing libration point isolated invariant sets using isolating blocks ⋮ Lissajous and halo orbits in the restricted three-body problem

Uses Software

• COLSYS
• Torcont

Cites Work

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