The Galilean satellites of Jupiter - Io, Europa, and Ganymede - are observed to move in a dynamical configuration known as the "Laplace resonance". It means that the pairs of satellites Io-Europa and Europa-Ganymede are characterized by a 2:1 ratio between their mean longitudes through a relation involving also the arguments of perijoves. Another dynamical configuration is known as the "de Sitter resonance" in which a certain combination of mean longitudes and arguments of perijoves librates, while it rotates in the Laplace resonance. In view of the space mission JUICE, which will be launched in 2022 towards Jupiter and three of its largest moons, we investigate the dynamics of both resonances using a suitable normal form that allows to describe the resonant Laplace and de Sitter configurations. We review a series of papers in collaboration with F. Paita and G. Pucacco ([8], [30], [9]), where we study the evolution of the Laplace librating argument and, among other results, we provide an estimate on its amplitude and frequency.

Celletti, A. (2020). The laplace resonance: between theory and space missions. RENDICONTI DEL SEMINARIO MATEMATICO, 78(2), 63-76.

The laplace resonance: between theory and space missions

Celletti A.
2020

Abstract

The Galilean satellites of Jupiter - Io, Europa, and Ganymede - are observed to move in a dynamical configuration known as the "Laplace resonance". It means that the pairs of satellites Io-Europa and Europa-Ganymede are characterized by a 2:1 ratio between their mean longitudes through a relation involving also the arguments of perijoves. Another dynamical configuration is known as the "de Sitter resonance" in which a certain combination of mean longitudes and arguments of perijoves librates, while it rotates in the Laplace resonance. In view of the space mission JUICE, which will be launched in 2022 towards Jupiter and three of its largest moons, we investigate the dynamics of both resonances using a suitable normal form that allows to describe the resonant Laplace and de Sitter configurations. We review a series of papers in collaboration with F. Paita and G. Pucacco ([8], [30], [9]), where we study the evolution of the Laplace librating argument and, among other results, we provide an estimate on its amplitude and frequency.
Pubblicato
Rilevanza internazionale
Articolo
Esperti anonimi
Settore MAT/07
English
Celletti, A. (2020). The laplace resonance: between theory and space missions. RENDICONTI DEL SEMINARIO MATEMATICO, 78(2), 63-76.
Celletti, A
Articolo su rivista
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/2108/308237
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