On the stability of the Lagrangian points in the spatial restricted problem of three bodies
type: Item
instance of: scholarly article
title: On the stability of the Lagrangian points in the spatial restricted problem of three bodies
zbMATH Open document ID: 0724.70023
DOI: 10.1007/BF00048985
author: Alessandra Celletti
author: Antonio Giorgilli
published in: Celestial Mechanics and Dynamical Astronomy
publication date: 1991-01-01T00:00:00Z
Mathematics Subject Classification ID: 70F07
Mathematics Subject Classification ID: 70K20
Mathematics Subject Classification ID: 70F15
zbMATH DE Number: 4195257
zbMATH Keywords: stability
zbMATH Keywords: Lagrangian equilibrium point
zbMATH Keywords: circular restricted problem of three bodies
zbMATH Keywords: stability region
zbMATH Keywords: Sun-Jupiter
zbMATH Keywords: Earth-Moon systems
zbMATH Keywords: Trojan asteroids
MaRDI profile type: Publication
cites work: Analysis of resonances in the spin-orbit problem in celestial mechanics. I: The synchronous resonance
cites work: Construction of analytic KAM-surfaces and effective stability bounds
cites work: Q4136658
cites work: Formal integrals for an autonomous Hamiltonian system near an equilibrium point
cites work: Q3822488
cites work: Effective stability for a Hamiltonian system near an elliptic equilibrium point, with an application to the restricted three body problem
cites work: On the Equilateral Configuration in the Restricted Problem of Three Bodies
cites work: The Lagrange Configuration in Celestial Mechanics
cites work: Behavior of Hamiltonian systems close to integrable
cites work: AN EXPONENTIAL ESTIMATE OF THE TIME OF STABILITY OF NEARLY-INTEGRABLE HAMILTONIAN SYSTEMS
cites work: Q3927514
cites work: Q5557777
full work available at URL: https://doi.org/10.1007/bf00048985
OpenAlex ID: W2013802200
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description: scientific article; zbMATH DE number 4195257