Dynamical Exploration of De Haerdtl Inequality between Ganymede and Callisto

Benoît Noyelles; Alain Vienne

Dynamical Exploration of De Haerdtl Inequality between Ganymede and Callisto

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Abstract

We studied De Haerdtl great inequality 7:3 between the Galilean satellites Ganymede and Callisto and proved its high dynamical importance. We show that it induces chaos by Chirikov diffusion because of overlaps of several resonances. We identified these resonances thanks to a numerical frequency analysis. This study is a first step to the elaboration of a scenario of dynamical evolution of the Galilean system, taking account of De Haerdtl inequality.

Original language	English
Title of host publication	Bulletin of the American Astronomical Society
Publisher	American astronomical society
Volume	37
Publication status	Published - 2006

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title = "Dynamical Exploration of De Haerdtl Inequality between Ganymede and Callisto",

abstract = "We studied De Haerdtl great inequality 7:3 between the Galilean satellites Ganymede and Callisto and proved its high dynamical importance. We show that it induces chaos by Chirikov diffusion because of overlaps of several resonances. We identified these resonances thanks to a numerical frequency analysis. This study is a first step to the elaboration of a scenario of dynamical evolution of the Galilean system, taking account of De Haerdtl inequality. ",

author = "Beno{\^i}t Noyelles and Alain Vienne",

year = "2006",

language = "English",

volume = "37",

booktitle = "Bulletin of the American Astronomical Society",

publisher = "American astronomical society",

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T1 - Dynamical Exploration of De Haerdtl Inequality between Ganymede and Callisto

AU - Noyelles, Benoît

AU - Vienne, Alain

PY - 2006

Y1 - 2006

N2 - We studied De Haerdtl great inequality 7:3 between the Galilean satellites Ganymede and Callisto and proved its high dynamical importance. We show that it induces chaos by Chirikov diffusion because of overlaps of several resonances. We identified these resonances thanks to a numerical frequency analysis. This study is a first step to the elaboration of a scenario of dynamical evolution of the Galilean system, taking account of De Haerdtl inequality.

AB - We studied De Haerdtl great inequality 7:3 between the Galilean satellites Ganymede and Callisto and proved its high dynamical importance. We show that it induces chaos by Chirikov diffusion because of overlaps of several resonances. We identified these resonances thanks to a numerical frequency analysis. This study is a first step to the elaboration of a scenario of dynamical evolution of the Galilean system, taking account of De Haerdtl inequality.

M3 - Chapter

VL - 37

BT - Bulletin of the American Astronomical Society

PB - American astronomical society

ER -

Dynamical Exploration of De Haerdtl Inequality between Ganymede and Callisto

Abstract

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