Impact of Modern Dynamics in Astronomy: Proceedings of the by G. Contopoulos, N. Voglis, C. Efthymiopoulos (auth.), J.

By G. Contopoulos, N. Voglis, C. Efthymiopoulos (auth.), J. Henrard, S. Ferraz-Mello (eds.)

Modem dynamics is more and more engaging within the resolution of difficulties raised via as­ tronomical observations. This new dating is being fostered on one part by way of the im­ provements within the observations, which in recent times contributed a number of discoveries of recent platforms, corresponding to the gadgets within the Kuiper belt, the pulsar and megastar partners, to talk purely of the main extraordinary ones, and, nevertheless, by means of the progresses in modem dynamics. The progresses in modem dynamics are because of components: the dissemination of speedy desktops, permitting the numerical experiences of very complicated structures by way of a lot of scientists, and the development in our knowing of the complicated behaviour of Hamiltonian structures. KAM and Nekhorochev theories have shed a gentle at the sophisticated and surprizing interplays among common and chaotic motions; numerical experiments and analytical approximations have proven how those peculiarities are certainly found in astronomically very important structures and are instrumental in knowing their formation and evolution.

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Extra info for Impact of Modern Dynamics in Astronomy: Proceedings of the IAU Colloquium 172 held in Namur (Belgium), 6–11 July 1998

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Most of the bodies in the inner belt are chaotic, mainly due to the dense location of mean motion resonances with Mars. In the Migliorini et al. simulations, 17% of the integrated bodies become MB Mars--crossers in the first 25 Myr by diffusing to larger eccentricity. Scaling to the number of asteroids larger than 5 kIn existing in the population sampled by the integrated bodies, this implies that 44 new multi-kilometer asteroids should become MB Mars--crossers in the next 25 Myr. 92 AU (Fig. 6) and that, according to the 1994 update of the proper elements catalog (see Milani and Knezevic, 1994), about 1000 asteroids 48 A.

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1984). This explains the huge proportion of fictitious asteroids driven to orbits with aphelions beyond Saturn. To complete the panorama of the fast -diffusion inner-belt resonances, we shall also mention the diffusion in the main branch of the secular resonance V6 (resonance 1:1 between the main component of the motion of the asteroid perihelion and g6; g6 is the second most important component of Jupiter's perihelion motion), and the 4/1 mean-motion resonance. Fictitious asteroids from the Vesta family that could have been injected into the V6 resonance show fates very similar to those of the 3/1 resonance (see Table I).

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