ELEMENTAL PERIODIC ORBITS ASSOCIATED WITH THE LIBRATION POINTS IN THE CIRCULAR RESTRICTED 3-BODY PROBLEM
From MaRDI portal
Publication:3511074
DOI10.1142/S0218127407018671zbMath1139.70006OpenAlexW2070003902MaRDI QIDQ3511074
Jorge Galan-Vioque, V. A. Romanov, Donald J. Dichmann, André Vanderbauwhede, Eusebius J. Doedel, Randy C. Paffenroth, Herbert B. Keller
Publication date: 4 July 2008
Published in: International Journal of Bifurcation and Chaos (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1142/s0218127407018671
Three-body problems (70F07) Equilibria and periodic trajectories for nonlinear problems in mechanics (70K42) Bifurcations and instability for nonlinear problems in mechanics (70K50) Computational methods for problems pertaining to mechanics of particles and systems (70-08)
Related Items (20)
A general method for the generation and extension of collinear libration point orbits ⋮ Comet and moon solutions in the time-dependent restricted \((n+1)\)-body problem ⋮ Flow Structure Identification for Nonlinear Dynamical Systems via Finite-Time Lyapunov Analysis ⋮ A study of periodic orbits near Europa ⋮ Global bifurcation of planar and spatial periodic solutions in the restricted \(n\)-body problem ⋮ On the ``blue sky catastrophe termination in the restricted four-body problem ⋮ Analyzing the structure of periodic orbit families that exist around asteroid (101955) Bennu ⋮ Optimal time-fixed impulsive non-Keplerian orbit to orbit transfer algorithm based on primer vector theory ⋮ Determination of the doubly symmetric periodic orbits in the restricted three-body problem and Hill's lunar problem ⋮ Excitable dynamics in a molecularly-explicit model of cell motility: mixed-mode oscillations and beyond ⋮ High-precision continuation of periodic orbits ⋮ Validated numerics for period-tupling and touch-and-go bifurcations of symmetric periodic orbits in reversible systems ⋮ PERIODIC ORBITS ASSOCIATED WITH THE LIBRATION POINTS OF THE HOMOGENEOUS ROTATING GRAVITATING TRIAXIAL ELLIPSOID ⋮ Spatial periodic orbits in the equilateral circular restricted four-body problem: computer-assisted proofs of existence ⋮ Polynomial expansions of single-mode motions around equilibrium points in the circular restricted three-body problem ⋮ Equilibrium points and associated periodic orbits in the gravity of binary asteroid systems: (66391) 1999 KW4 as an example ⋮ Improved grid search method: an efficient tool for global computation of periodic orbits. Application to Hill's problem ⋮ Floquet modes and stability analysis of periodic orbit-attitude solutions along Earth-Moon halo orbits ⋮ High-order polynomial continuation method for trajectory design in non-Keplerian environments ⋮ The bifurcation of periodic orbits and equilibrium points in the linked restricted three-body problem with parameter ω
Uses Software
Cites Work
- Unnamed Item
- Unnamed Item
- Nonlinear oscillations, dynamical systems, and bifurcations of vector fields
- The Hamiltonian Hopf bifurcation
- Homoclinic period blow-up in reversible and conservative systems
- Elements of applied bifurcation theory.
- On the families of periodic orbits which bifurcate from the circular Sitnikov motions
- Continuation of periodic orbits in conservative and Hamiltonian systems
- The web of periodic orbits at \(L_4\)
- Three-dimensional, periodic, ?halo? orbits
- On Brown's conjecture
- Collocation Software for Boundary-Value ODEs
- O. K. Floquet Multipliers
- Adaptive Mesh Selection Strategies for Solving Boundary Value Problems
- Nonlinear Numerics
- Collocation Software for Boundary Value Differential-Algebraic Equations
- NUMERICAL ANALYSIS AND CONTROL OF BIFURCATION PROBLEMS (I): BIFURCATION IN FINITE DIMENSIONS
- NUMERICAL ANALYSIS AND CONTROL OF BIFURCATION PROBLEMS (II): BIFURCATION IN INFINITE DIMENSIONS
- Computation of Periodic Solution Bifurcations in ODEs Using Bordered Systems
- Dynamics and Mission Design Near Libration Points
- MULTIPLE PARAMETER CONTINUATION: COMPUTING IMPLICITLY DEFINED k-MANIFOLDS
- Dynamics and Mission Design Near Libration Points
- NUMERICAL CONTINUATION OF BRANCH POINTS OF EQUILIBRIA AND PERIODIC ORBITS
- IMPROVED NUMERICAL FLOQUET MULTIPLIERS
- ON MOULTON'S ORBITS IN THE RESTRICTED PROBLEM OF THREE BODIES
- The Trojan Manifold — Survey and Conjectures
- Periodic orbits near ?4 for mass ratios near the critical mass ratio of routh
- Collocation at Gaussian Points
- [https://portal.mardi4nfdi.de/wiki/Publication:5675367 Proof of a conjecture of E. Str�mgren]
This page was built for publication: ELEMENTAL PERIODIC ORBITS ASSOCIATED WITH THE LIBRATION POINTS IN THE CIRCULAR RESTRICTED 3-BODY PROBLEM
