### Abstract

Original language | English |
---|---|

Place of Publication | Namur |

Publisher | Namur center for complex systems |

Publication status | Unpublished - 2011 |

### Fingerprint

### Keywords

- Periodic Orbits
- Hamiltonian Systems
- Natural satellites
- Numerical Methods
- Rotation

### Cite this

*The Poincaré-Hough model applied to the synchronous rotation at low eccentricity*. Namur: Namur center for complex systems.

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*The Poincaré-Hough model applied to the synchronous rotation at low eccentricity*. Namur center for complex systems, Namur.

**The Poincaré-Hough model applied to the synchronous rotation at low eccentricity.** / Noyelles, Benoît.

Research output: Book/Report/Journal › Other report

TY - BOOK

T1 - The Poincaré-Hough model applied to the synchronous rotation at low eccentricity

AU - Noyelles, Benoît

N1 - Publication code : FP SB092/2011/19 ; SB04977/2011/19

PY - 2011

Y1 - 2011

N2 - This paper presents a study of the Poincaré-Hough model of rotation of the synchronous natural satellites, in which these bodies are assumed to be composed of a rigid mantle and a triaxial cavity filled with inviscid fluid of constant uniform density and vorticity. In considering an Io-like on a low eccentric orbit, we describe the different possible behaviors of the system, depending on the size, polar flattening and shape of the core. We use for that the numerical tool. Starting from a Hamiltonian formulation of the system, we derive the Hamilton equations before integrating them numerically. Then, we use a frequency analysis algorithm to give a quasi-periodic representation, allowing us to split the different contributions and to characterise the equilibrium of the system. We show that, even without orbital eccentricity, the system can have complex behaviors, in particular when the core is highly flattened. In such a case, the polar motion is forced by several degrees and longitudinal librations appear. We also get a shift of the obliquity when the polar flattening of the core is small.

AB - This paper presents a study of the Poincaré-Hough model of rotation of the synchronous natural satellites, in which these bodies are assumed to be composed of a rigid mantle and a triaxial cavity filled with inviscid fluid of constant uniform density and vorticity. In considering an Io-like on a low eccentric orbit, we describe the different possible behaviors of the system, depending on the size, polar flattening and shape of the core. We use for that the numerical tool. Starting from a Hamiltonian formulation of the system, we derive the Hamilton equations before integrating them numerically. Then, we use a frequency analysis algorithm to give a quasi-periodic representation, allowing us to split the different contributions and to characterise the equilibrium of the system. We show that, even without orbital eccentricity, the system can have complex behaviors, in particular when the core is highly flattened. In such a case, the polar motion is forced by several degrees and longitudinal librations appear. We also get a shift of the obliquity when the polar flattening of the core is small.

KW - Periodic Orbits

KW - Hamiltonian Systems

KW - Natural satellites

KW - Numerical Methods

KW - Rotation

M3 - Other report

BT - The Poincaré-Hough model applied to the synchronous rotation at low eccentricity

PB - Namur center for complex systems

CY - Namur

ER -