Resonant motion in the restricted three-body problem

DOI10.1007/BF00699733zbMath0780.70004OpenAlexW4246105466MaRDI QIDQ687250

John D. Hadjidemetriou

Publication date: 6 February 1994

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

Full work available at URL: https://doi.org/10.1007/bf00699733

zbMATH Keywords

periodic orbitsphase spaceSun-Jupiter asteroid system

Mathematics Subject Classification ID

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

Related Items (14)

Constructing motion primitive sets to summarize periodic orbit families and hyperbolic invariant manifolds in a multi-body system ⋮ Critical point families at the 3:1 resonance ⋮ The integrable cases of the three-body problem at second-order resonance under the high oblateness of the central body ⋮ Dynamic expansion points: an extension to Hadjidemetriou's mapping method ⋮ On the measure of the structure around the last KAM torus before and after its break-up ⋮ A symplectic mapping approach to the study of the stochasticity in asteroidal resonances ⋮ Mapping and dynamical systems ⋮ On the period of the periodic orbits of the restricted three body problem ⋮ Explicit symplectic integrator for highly eccentric orbits ⋮ Networks and Bifurcations of Eccentric Orbits in Exoplanetary Systems ⋮ Wisdom system: dynamics in the adiabatic approximation ⋮ Origin and continuation of \(3/2, 5/2, 3/1, 4/1\) and \(5/1\) resonant periodic orbits in the circular and elliptic restricted three-body problem ⋮ Inclined asymmetric librations in exterior resonances ⋮ Chaotic Di?usion of Asteroids

Cites Work

• Unnamed Item
• On the dynamics in the asteroids belt. I: General theory
• On the dynamics in the asteroids belt. II: Detailed study of the main resonances
• The elliptic restricted problem at the 3:1 resonance
• On symmetrical planetary corotations
• Regular and stochastic motion
• On the relation between resonance and instability in planetary systems
• High-order resonances in the restricted three-body problem
• The present status of periodic orbits
• BURRAU'S PROBLEM OF THREE BODIES
• Stability of periodic orbits in the elliptic, restricted three-body problem.
• Periodic collision orbits in the elliptic restricted three-body problem

This page was built for publication: Resonant motion in the restricted three-body problem