Stability criteria in many-body systems

DOI10.1007/BF01229197zbMath0464.70007MaRDI QIDQ5904809

Archie E. Roy, Ian W. Walker

Publication date: 1981

Published in: Celestial Mechanics (Search for Journal in Brave)

zbMATH Keywords

periodic orbitsstability criteriaplane problemSun-Jupiter-SaturnHill-type stabilityrelation of Henoncoplanar hierarchical three-bodyEarth-Moon-Sun

Mathematics Subject Classification ID

Three-body problems (70F07) Celestial mechanics (70F15) (n)-body problems (70F10)

Related Items

On topological stability in the general three-body problem, About the Hill stability of extrasolar planets in stellar binary systems, Stability criteria for hierarchical triple systems, The effect of orbital eccentricities on the shape of the hill-type analytical stability surfaces in the general three-body problem, On the stability of hierarchical four-body systems, The Hill stability of low mass binaries in hierarchical triple systems, Stability criteria in many-body systems, Stability criteria in many-body systems, On the stability of close binaries in hierarchical three-body systems, The stability of masses during three-body encounters, Resonant structure of the outer Solar System, Limits on the orbits of possible eccentric and inclined moons of extrasolar planets orbiting single stars

Cites Work

• The effects of integrals on the totality of solutions of dynamical systems
• Bifurcation points in the planar problem of three bodies
• A note on the limits of stability for the restricted problem of three bodies as applied to the Sun-Earth-Moon system
• On the use of the Jacobi Integral of the Restricted Three-body Problem
• Classification of the motions of three bodies in a plane
• Stability criteria in many-body systems