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- V Carruba, T A Michtchenko, F Roig, S Ferraz-Mello, D Nesvorn´y
- 2005

Among the largest objects in the main belt, asteroid 4 Vesta is unique in showing a basaltic crust. It is also the biggest member of the Vesta family, which is supposed to originate from a large cratering event about 1 Gyr ago (Marzari et al. 1996). Most of the members of the Vesta family for which a spectral classification is available show a V-type… (More)

- C Beaugé, S Ferraz-Mello, T A Michtchenko
- 2002

In recent years several pairs of extrasolar planets have been discovered in the vicinity of mean-motion commensurabilities. In some cases, such as the Gliese 876 system, the planets seem to be trapped in a stationary solution, the system exhibiting a simultaneous libration of the resonant angle θ 1 = 2λ 2 − λ 1 − ̟ 1 and of the relative position of the… (More)

- Sylvio Ferraz-Mello, Adrián Rodríguez, Hauke Hussmann
- 2009

This report is a review of Darwin's classical theory of bodily tides in which we present the analytical expressions for the orbital and rotational evolution of the bodies and for the energy dissipation rates due to their tidal interaction. General formulas are given which do not depend on any assumption linking the tidal lags to the frequencies of the… (More)

- S Ferraz-Mello, T A Michtchenko, C Beaugé, Systems, Acad Publ
- 2004

This paper is a review of the dynamics of a system of planets. It includes the study of averaged equations in both non-resonant and resonant systems and shows the great deal of situations in which the angle between the two semi-major axes oscillates around a constant value. It introduces the Hamiltonian equations of the N-planet problem and Poincaré's… (More)

- C Beaugé, S Ferraz-Mello, T A Michtchenko
- 2004

We analyze the possible relationship between the current orbital elements fits of known exo-planets in the 2/1 mean-motion resonance and the expected orbital configuration due to migration. We find that, as long as the orbital decay was sufficiently slow to be approximated by an adiabatic process, all captured planets should be in apsidal corotations. In… (More)

- S Ferraz-Mello, C Beaugé, T A Michtchenko
- 2003

In this paper we present numerical simulations of the evolution of planets or massive satellites captured in the 2/1 and 3/1 resonances, under the action of an anti-dissipative tidal force. The evolution of resonant trapped bodies show a richness of solutions: librations around stationary symmetric solutions with aligned periapses (∆̟ = 0) or anti-aligned… (More)

- D Nesvorn´y, S Ferraz-Mello
- 1997

We have applied the frequency map analysis of Laskar (1993) to the following dynamical models of the 2/1 asteroidal mean-motion resonance: the planar restricted three-body model and the planar restricted four-body model with Sat-urn. It allowed us to reproduce the chaotic region, which is formed by the overlap of secondary resonances in low eccentricities.… (More)

- F Roig, A Simula, S Ferraz-Mello, M Tsuchida
- 1997

In this paper we present an extension to the non-planar case of the asymmetric expansion of the averaged resonant disturbing function of Ferraz-Mello & Sato (1989, A&A 225, 541-547). Comparions with the exact averaged disturbing function are also presented. The expansion gives a good approximation of the exact function in a wide region around the center of… (More)

- S Ferraz-Mello, T A Michtchenko, C Beaugé
- 2004

The published orbits of the planets HD 82943b and HD 82943c correspond to a system bound to a catastrophic event in less than 100,000 years. Alternative sets of elements and masses, which fit the available observational data and correspond to regular motions, are presented in this paper. The planets HD 82943 c,b are in a 2/1 mean-motion resonance and are… (More)

Of the over 400 known exoplanets, there are about 70 planets that transit their central star, a situation that permits the derivation of their basic parameters and facilitates investigations of their atmospheres. Some short-period planets, including the first terrestrial exoplanet (CoRoT-7b), have been discovered using a space mission designed to find… (More)