Dynamics of Two Planets in the 3/2 Mean-motion Resonance: Application to the Planetary System of the Pulsar PSR B1257+12     

N. Callegari Jr  S. Ferraz-Mello  T. A. Michtchenko 《Celestial Mechanics and Dynamical Astronomy》2006,94(4):381-397

This paper considers the dynamics of two planets, as the planets B and C of the pulsar PSR B1257+12, near a 3/2 mean-motion resonance. A two-degrees-of-freedom model, in the framework of the general three-body planar problem, is used and the solutions are analyzed through surfaces of section and Fourier techniques in the full phase space of the system.On the possibility of existence of a fourth planet in distant orbit, see Wolszczan et al., 2000  相似文献   

Frequency map analysis of the orbital structure in elliptical galaxies   总被引：1，自引：0，他引：1  

F. C. Wachlin  & S. Ferraz-Mello 《Monthly notices of the Royal Astronomical Society》1998,298(1):22-32

We present an application of the frequency map analysis to an elliptical galaxy which is represented by a generalization of a double-power-law spherical mass model. The density distribution of this model varies as r ^−γ close to the centre and as r ⁻⁴ at large radii. We study the case with γ = 1, which is known as the 'weak-cusp' model and which represents well the density profile of the 'core' galaxies observed by the Hubble Space Telescope . The final objective of our work is to improve our understanding of the dynamics of elliptical galaxies in a similar way to Merritt &38; Fridman, finding the regions of stochasticity, looking for resonances that might play an important role in sustaining the triaxial morphology, and analysing the diffusion of orbits. To this end, we use the frequency map analysis of Laskar, which has been applied widely in the field of celestial mechanics but which is a relatively new technique in the area of galactic dynamics. Finally, we show some useful features of this method in understanding the global dynamical structure of the system.  相似文献   

Chirikov diffusion in the asteroidal three-body resonance (5, −2, −2)     

F. Cachucho  P. M. Cincotta  S. Ferraz-Mello 《Celestial Mechanics and Dynamical Astronomy》2010,108(1):35-58

The theory of diffusion in many-dimensional Hamiltonian system is applied to asteroidal dynamics. The general formulation developed by Chirikov is applied to the Nesvorny-Morbidelli analytic model of three-body (three-orbit) mean-motion resonances (Jupiter-Saturn-asteroid). In particular, we investigate the diffusion along and across the separatrices of the (5, −2, −2) resonance of the (490) Veritas asteroidal family and their relationship to diffusion in semi-major axis and eccentricity. The estimations of diffusion were obtained using the Melnikov integral, a Hadjidemetriou-type sympletic map and numerical integrations for times up to 10⁸ years.  相似文献   

Tidal synchronization of close-in satellites and exoplanets: II. Spin dynamics and extension to Mercury and exoplanet host stars     

Sylvio Ferraz-Mello 《Celestial Mechanics and Dynamical Astronomy》2015,122(4):359-389

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Escape of asteroids from the Hecuba gap     

T. Michtchenko  S. Ferraz-Mello 《Planetary and Space Science》1997,45(12):1587-1593

The dynamics of the 2/1 mean-motion asteroidal resonance with Jupiter is studied by numerical integration of the equations of motion of the Sun-Jupiter-Saturn-asteroid system. The measurement of the fundamental asteroidal frequencies by means of Fourier and wavelet analyses allows us to construct the web of the secular, secondary and Kozai resonances inside the 2/1-resonance boundaries. The structure of the phase space of the 2/1 resonance is discussed with emphasis on the acting depletion mechanisms due to presence of these inner resonances. Special attention is paid to the study of the middle-eccentricity depleted region. The importance of the great inequality of the Jupiter-Saturn system in the acceleration of the diffusion processes in this region is pointed out. The existence of a group of asteroids like (3789) Zhongguo, inside the 2/1 resonance, is also discussed.  相似文献   

Dynamics of Two Planets in the 2/1 Mean-Motion Resonance   总被引：1，自引：1，他引：0  

N. Callegari Jr.  T. A. Michtchenko  S. Ferraz-Mello 《Celestial Mechanics and Dynamical Astronomy》2004,89(3):201-234

The dynamics of two planets near a first-order mean-motion resonance is modeled in the domain of the general three-body planar problem. The system studied is the pair Uranus-Neptune (2/1 resonance). The phase space of the resonance and near-resonance regions is studied by means of surfaces of section and spectral analysis techniques. After a thorough investigation of the topology of the phase space, we find that several regimes of motion are possible for the Uranus-Neptune system, and the regions of transition between the regimes of motion are the seats of chaotic motion. This revised version was published online in July 2006 with corrections to the Cover Date.  相似文献   

Motion of two planets with periods commensurable in the ratio 2∶1 solutions of the hori auxiliary system     

W. Sessin  S. Ferraz-Mello 《Celestial Mechanics and Dynamical Astronomy》1984,32(4):307-332

It is shown that the Hori auxiliary system for the motion of two planets, whose motions around the Sun have commensurable periods in the ratio 2 : 1, is completely integrable and, an intermediate orbit that includes the effects of the resonance is obtained. The difficulties of classifying some solutions as librations or circulations are discussed.  相似文献   

Satellite orbits and ephemerides     

Ferraz-Mello  S. 《Celestial Mechanics and Dynamical Astronomy》1984,34(1-4):223-241

This review considers theoretical work leading to the actual knowledge of the motions of all planetary satellites, except the Moon. It covers recent calculations of inequalities of satellites' motions and the determination of their orbits on the basis of existing observational data. The results are presented and some of them discussed in views of possible future developments.  相似文献   

A new analysis of the GJ581 extrasolar planetary system     

M. Tadeu dos Santos  G. G. Silva  S. Ferraz-Mello  T. A. Michtchenko 《Celestial Mechanics and Dynamical Astronomy》2012,113(1):49-62

We have done a new analysis of the available observations of the GJ581 exoplanetary system. Today this system is controversial due to choices that can be done in the orbital determination. The main ones are the occurrence of aliases and the additional bodies??the planets f and g??announced in Vogt et?al. (Astrophys J 723:954?C965, 2010). Any dynamical study of exoplanets requires the good knowledge of the orbital elements and the investigations involving the planet g are particularly interesting, since this body would lie in the habitable zone (HZ) of the star GJ581. This region, for this system, is very attractive of the dynamical point of view due to several resonances of two and three bodies present there. In this work, we investigate the conditions under which the planet g may exist. We stress the fact that the planet g is intimately related with the orbital elements of the planet d; more precisely, we conclude that it is not possible to disconnect its existence from the determination of the eccentricity of the planet d. Concerning the planet f, we have found one solution with period ??450?days, but we are judicious about any affirmation concerning this body because its signal is in the threshold of detection and the high period is in a spectral region where the occurrence of aliases is very common. Besides, we outline some dynamical features of the HZ with the dynamical map and point out the role played by some resonances laying there.  相似文献   

Preface     

Alessandra Celletti  Elena Lega  Sylvio Ferraz-Mello 《Celestial Mechanics and Dynamical Astronomy》2008,102(1-3):1-2

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