Chaotic Dynamics in the Planar Gravitational Many-Body Problem with Rigid Body Rotations
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Publication:4566425
DOI10.1142/S0218127418300136zbMath1390.70021arXiv1801.02458OpenAlexW3104549855MaRDI QIDQ4566425
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Publication date: 15 June 2018
Published in: International Journal of Bifurcation and Chaos (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1801.02458
Transition to stochasticity (chaotic behavior) for nonlinear problems in mechanics (70K55) Free motion of a rigid body (70E15) (n)-body problems (70F10) Homoclinic and heteroclinic trajectories for nonlinear problems in mechanics (70K44)
Related Items (1)
Chaotic Rotations of a Rigid Ellipsoidal Body Exhibiting Spin-Orbit Misalignment in a Periodic Orbit
Cites Work
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- On the dynamics of planar oscillations for a dumbbell satellite in \(J_{2}\) problem
- Short-axis-mode rotation of a free rigid body by perturbation series
- Continuity and stability of families of figure eight orbits with finite angular momentum
- Some properties of the dumbbell satellite attitude dynamics
- The extended Melnikov method for non-autonomous nonlinear dynamical systems and application to multi-pulse chaotic dynamics of a buckled thin plate
- Index and stability of symmetric periodic orbits in Hamiltonian systems with application to figure-eight orbit
- Horseshoes in perturbations of Hamiltonian systems with two degrees of freedom
- Melnikov method and transversal homoclinic points in the restricted three-body problem
- Regular and chaotic dynamics.
- A Melnikov method for homoclinic orbits with many pulses
- Homoclinic connections in strongly self-excited nonlinear oscillators: The Melnikov function and the elliptic Lindstedt-Poincaré method
- Mutual potential between two rigid bodies with arbitrary shapes and mass distributions
- On central configurations
- The two rigid body interaction using angular momentum theory formulae
- Minimal energy configurations of gravitationally interacting rigid bodies
- Dynamics of a dumbbell satellite under the zonal harmonic effect of an oblate body
- Rotating Eights: I. The three Γifamilies
- Chaos in differential equations driven by a nonautonomous force
- Using Melnikov's method to solve Silnikov's problems
- On the predictability of unstable satellite motion around elongated celestial bodies
- Stability and Chaos in Celestial Mechanics
- Symplectic maps, variational principles, and transport
- Melnikov’s method and Arnold diffusion for perturbations of integrable Hamiltonian systems
- Heteroclinic bifurcations in damped rigid block motion
- Exact general solutions to extraordinary N –body problems
- The method of Melnikov for perturbations of multi-degree-of-freedom Hamiltonian systems
- Periodic and chaotic behaviour in a reduction of the perturbed Korteweg-de Vries equation
- Homoclinic motions and chaos in the quasiperiodically forced van der Pol-Duffing oscillator with single well potential
- Braids in classical dynamics
- The nonlinear dynamics of ship motions: a field overview and some recent developments
- High Phase-Lag-Order Runge--Kutta and Nyström Pairs
- Introduction to Applied Nonlinear Dynamical Systems and Chaos
- Melnikov method approach to control of homoclinic/heteroclinic chaos by weak harmonic excitations
- Linear stability analysis of the figure-eight orbit in the three-body problem
- A remarkable periodic solution of the three-body problem in the case of equal masses
- Periodic orbits for three particles with finite angular momentum
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