The main topic of this paper is the study of the stationary solution of a stochastically complex dynamical system. The stochastic averaging method of quasi-Hamiltonian system, an important tool for the analysis of dynamical properties of stochastically real dynamical system, is used at the first tim
A dynamical solution of the triple asteroid system (45) Eugenia
β Scribed by F. Marchis; V. Lainey; P. Descamps; J. Berthier; M. Van Dam; I. de Pater; B. Macomber; M. Baek; D. Le Mignant; H.B. Hammel; M. Showalter; F. Vachier
- Publisher
- Elsevier Science
- Year
- 2010
- Tongue
- English
- Weight
- 671 KB
- Volume
- 210
- Category
- Article
- ISSN
- 0019-1035
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β¦ Synopsis
We present the first dynamical solution of the triple asteroid system (45) Eugenia and its two moons Petit-Prince (diameter $ 7 km) and S/2004 (45) 1 (diameter $ 5 km). The two moons orbit at 1165 and 610 km from the primary, describing an almost-circular orbit (e $ 6 Γ 10 Γ3 and e $ 7 Γ 10 Γ2 respectively). The system is quite different from the other known triple systems in the main belt since the inclinations of the moon orbits are sizeable (9Β°and 18Β°with respect to the equator of the primary respectively). No resonances, neither secular nor due to Lidov-Kozai mechanism, were detected in our dynamical solution, suggesting that these inclinations are not due to excitation modes between the primary and the moons. A 10-year evolution study shows that the orbits are slightly affected by perturbations from the Sun, and to a lesser extent by mutual interactions between the moons. The estimated J 2 of the primary is three times lower than the theoretical one, calculated assuming the shape of the primary and an homogeneous interior, possibly suggesting the importance of other gravitational harmonics.
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