Stability zones around the triangular Lagrangian points.

R. Dvorak; Elke Pilat-Lohinger

Stability zones around the triangular Lagrangian points.

Department of Astrophysics

Publications: Contribution to book › Chapter › Peer Reviewed

Abstract

The authors discuss the stability around the libration point L4 (and L5) in the circular restricted three-body problem. The dependence of the extent of the stability zones around these equilibrium points as a function of the mass parameter μ = m2/(m1 + m2) is established by using numerical experiments. The results are compared with existing data for the Earth-Moon case, and are then extended to a large range of μ values. The shrinking and even disappearance of the stability zones is well explained by the existence of two additional critical mass parameters below the well known value of μcrit = 0.03852.

Original language	English
Title of host publication	NATO Advanced Study Institute on Predictability, Stability, and Chaos in N-Body Dynamical Systems
Pages	439-446
Publication status	Published - 1991

Austrian Fields of Science 2012

103004 Astrophysics

Access to Document

http://adsabs.harvard.edu/abs/1991pscn.proc..439D

Cite this

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title = "Stability zones around the triangular Lagrangian points.",

abstract = "The authors discuss the stability around the libration point L4 (and L5) in the circular restricted three-body problem. The dependence of the extent of the stability zones around these equilibrium points as a function of the mass parameter μ = m2/(m1 + m2) is established by using numerical experiments. The results are compared with existing data for the Earth-Moon case, and are then extended to a large range of μ values. The shrinking and even disappearance of the stability zones is well explained by the existence of two additional critical mass parameters below the well known value of μcrit = 0.03852.",

author = "R. Dvorak and Elke Pilat-Lohinger",

year = "1991",

language = "English",

pages = "439--446",

booktitle = "NATO Advanced Study Institute on Predictability, Stability, and Chaos in N-Body Dynamical Systems",

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TY - CHAP

T1 - Stability zones around the triangular Lagrangian points.

AU - Dvorak, R.

AU - Pilat-Lohinger, Elke

PY - 1991

Y1 - 1991

N2 - The authors discuss the stability around the libration point L4 (and L5) in the circular restricted three-body problem. The dependence of the extent of the stability zones around these equilibrium points as a function of the mass parameter μ = m2/(m1 + m2) is established by using numerical experiments. The results are compared with existing data for the Earth-Moon case, and are then extended to a large range of μ values. The shrinking and even disappearance of the stability zones is well explained by the existence of two additional critical mass parameters below the well known value of μcrit = 0.03852.

AB - The authors discuss the stability around the libration point L4 (and L5) in the circular restricted three-body problem. The dependence of the extent of the stability zones around these equilibrium points as a function of the mass parameter μ = m2/(m1 + m2) is established by using numerical experiments. The results are compared with existing data for the Earth-Moon case, and are then extended to a large range of μ values. The shrinking and even disappearance of the stability zones is well explained by the existence of two additional critical mass parameters below the well known value of μcrit = 0.03852.

M3 - Chapter

SP - 439

EP - 446

BT - NATO Advanced Study Institute on Predictability, Stability, and Chaos in N-Body Dynamical Systems

ER -