Chaos in the one-dimensional gravitational three-body problem (original) (raw)
Related papers
Discreteness effects, N-body chaos and the onset of radial-orbit instability
2019
Dynamical instability and statistical behaviour of N-body systems
Planetary and Space Science, 1998
Chaos, Order, and Periodic Orbits in 3 : 1 Resonant Planetary Dynamics
The Astrophysical Journal, 2008
Chaos in an exact relativistic three-body self-gravitating system
Physical Review E, 2004
Chaos and Lévy flights in the three-body problem
Monthly Notices of the Royal Astronomical Society, 2020
Order and Chaos in Stellar and Planetary Systems
Igor' Nikiforov, Konstantin Kholshevnikov
2004
A generalization of the Lagrangian points: Studies of resonance for highly eccentric orbits
The Astronomical Journal, 2004
Online International Interdisciplinary Research Journa, 2016
2006
Global dynamics of planetary systems with the MEGNO criterion
Astronomy & Astrophysics, 2001
Sixth International Symposium on Classical and Celestial Mechanics (CCMECH6)
2007
arXiv (Cornell University), 2021
Chaos in a three-body self-gravitating cosmological spacetime
Physical Review D, 2007
On the stability of the three classes of Newtonian three-body planar periodic orbits
Science China Physics, Mechanics & Astronomy, 2014
Dynamical aspects of multi-round horseshoe-shaped homoclinic orbits in the RTBP
Celestial Mechanics and Dynamical Astronomy, 2009
Global instability in the elliptic restricted three body problem
A theory of orbital behavior in a class of nonlinear systems: Chaos and a signature-based approach
Journal of Computer and System Sciences, 1986
Chaos and the continuum limit in the gravitational N-body problem: integrable potentials
Physical review. E, Statistical, nonlinear, and soft matter physics, 2001
Mildly Hierarchical Triple Dynamics and Applications to the Outer Solar System
The Astronomical Journal, 2021
Chaos in Schwarzschild spacetime: The motion of a spinning particle
Physical Review D, 1997
Scientific Research Publishing
Monthly Notices of the Royal Astronomical Society, 2015
The non-resonant, relativistic dynamics of circumbinary planets
Monthly Notices of the Royal Astronomical Society, 2010
Dynamical Systems, the Three-Body Problem and Space Mission Design
Equadiff 99, 2000
G.: Periodic orbits and escapes in dynamical systems
2012
The rectilinear three-body problem as a basis for studying highly eccentric systems
Celestial Mechanics and Dynamical Astronomy
The instability transition for the restricted 3-body problem
Astronomy & Astrophysics, 2011
Local Motion, Stability, and Evolution of Three Planet Periodic Orbits
Dreft
Libration Point Orbits: A Survey from the Dynamical Point of View
Libration Point Orbits and Applications - Proceedings of the Conference, 2003
Quasi-Periodic Orbits of the Restricted Three-Body Problem Made Easy
AIP Conference Proceedings, 2007
Journal of Physics A: Mathematical and Theoretical, 2017