The construction of periodic orbits close to triangular libration points for the three-body problem in a resistive medium
type: Item
instance of: scholarly article
zbMATH Open document ID: 0983.70010
author: V. V. Samsonova
author: A. P. Ivanov
publication date: 2001-12-18T00:00:00Z
Mathematics Subject Classification ID: 70F07
Mathematics Subject Classification ID: 70K42
Mathematics Subject Classification ID: 70K20
zbMATH DE Number: 1683392
zbMATH Keywords: Lyapunov families of periodic orbits
zbMATH Keywords: three-body problem
zbMATH Keywords: small resistance
zbMATH Keywords: triangular libration points
zbMATH Keywords: Poincaré technique
zbMATH Keywords: small parameter
zbMATH Keywords: asymptotically stable periodic orbit
zbMATH Keywords: Earth-Jupiter system
zbMATH Keywords: Earth-Moon system
MaRDI profile type: Publication
cites work: The effect of small resistive forces on relative equilibrium
cites work: Q5820484
cites work: Q5802833
cites work: Q3202458
title: The construction of periodic orbits close to triangular libration points for the three-body problem in a resistive medium
published in: Prikladnaya Matematika i Mekhanika
review text: The authors study the three-body problem in a medium with small resistance. The conditions for loss of stability of triangular libration points are established by Poincaré technique, using as a small parameter the ratio of resistive force to the gravitation attraction force. The domains of stability of triangular libration points are shown graphically, and two Lyapunov families of periodic orbits are constructed.
description: scientific article; zbMATH DE number 1683392