The 3-dimensional Rotation of Titan, and the Possibility of a Resonant Wobble

Benoît Noyelles; Anne Lemaître; Alain Vienne

The 3-dimensional Rotation of Titan, and the Possibility of a Resonant Wobble

Benoît Noyelles, Anne Lemaître, Alain Vienne

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Abstract

We performed a 3-dimensional theory of the rotation of Titan, seen as a rigid body. Using an analytical model, we determine the frequencies of the free librations around the exact Cassini state, which are respectively 2.1, 167 and 306 years. Then we use the numerical tool and the complete ephemerides (TASS 1.6) of the orbital motion of Titan to give a complete 3-dimensional theory of the rotation of Titan, given in a synthetic form thanks to frequency analysis. This study allows us to detect a likely resonance forcing the wobble of Titan. This resonance is being studied analytically, and we show that it could force the wobble of Titan of several degrees.

Original language	English
Title of host publication	Bulletin of the American Astronomical Society
Publisher	American astronomical society
Publication status	Unpublished - 2008

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title = "The 3-dimensional Rotation of Titan, and the Possibility of a Resonant Wobble",

abstract = "We performed a 3-dimensional theory of the rotation of Titan, seen as a rigid body. Using an analytical model, we determine the frequencies of the free librations around the exact Cassini state, which are respectively 2.1, 167 and 306 years. Then we use the numerical tool and the complete ephemerides (TASS 1.6) of the orbital motion of Titan to give a complete 3-dimensional theory of the rotation of Titan, given in a synthetic form thanks to frequency analysis. This study allows us to detect a likely resonance forcing the wobble of Titan. This resonance is being studied analytically, and we show that it could force the wobble of Titan of several degrees. ",

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year = "2008",

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T1 - The 3-dimensional Rotation of Titan, and the Possibility of a Resonant Wobble

AU - Noyelles, Benoît

AU - Lemaître, Anne

AU - Vienne, Alain

PY - 2008

Y1 - 2008

N2 - We performed a 3-dimensional theory of the rotation of Titan, seen as a rigid body. Using an analytical model, we determine the frequencies of the free librations around the exact Cassini state, which are respectively 2.1, 167 and 306 years. Then we use the numerical tool and the complete ephemerides (TASS 1.6) of the orbital motion of Titan to give a complete 3-dimensional theory of the rotation of Titan, given in a synthetic form thanks to frequency analysis. This study allows us to detect a likely resonance forcing the wobble of Titan. This resonance is being studied analytically, and we show that it could force the wobble of Titan of several degrees.

AB - We performed a 3-dimensional theory of the rotation of Titan, seen as a rigid body. Using an analytical model, we determine the frequencies of the free librations around the exact Cassini state, which are respectively 2.1, 167 and 306 years. Then we use the numerical tool and the complete ephemerides (TASS 1.6) of the orbital motion of Titan to give a complete 3-dimensional theory of the rotation of Titan, given in a synthetic form thanks to frequency analysis. This study allows us to detect a likely resonance forcing the wobble of Titan. This resonance is being studied analytically, and we show that it could force the wobble of Titan of several degrees.

M3 - Chapter

BT - Bulletin of the American Astronomical Society

PB - American astronomical society

ER -

The 3-dimensional Rotation of Titan, and the Possibility of a Resonant Wobble

Abstract

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