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Dynamics of Natural and Artificial Celestial Bodies: by Antonio Elipe, Miguel Vallejo (auth.), Halina Pretka-Ziomek,

By Antonio Elipe, Miguel Vallejo (auth.), Halina Pretka-Ziomek, Edwin Wnuk, P. Kenneth Seidelmann, David L. Richardson (eds.)

This quantity comprises papers provided on the US/European Celestial Mecha­ nics Workshop equipped by means of the Astronomical Observatory of Adam Mickiewicz collage in Poznan, Poland and held in Poznan, from three to 7 July 2000. the aim of the workshop was once to spot destiny learn in celestial mech­ anics and inspire collaboration between scientists from eastem and westem coun­ attempts. there has been a whole software of invited and contributed displays on chosen topics and every day ended with a dialogue interval on a normal topic in celestial mechanics. The dialogue issues and the leaders have been: Resonances and Chaos-A. Morbidelli; man made satellite tv for pc Orbits-K. T. Alfriend; close to Earth Ob­ jects - ok. Muinonen; Small sun procedure our bodies - I. Williams; and precis - P. ok. Seidelmann. The aim of the discussions was once to spot what we didn't be aware of and the way we would extra our wisdom. the scale of the assembly and the language changes a bit constrained the true dialogue, yet, because of the excellence of the various dialogue leaders, every one of those classes was once very fascinating and efficient. Celestial Mechanics and Astrometry are either small fields in the normal topic of Astronomy. there's additionally an overlap and courting among those fields and Astrodynamics. the quantity of interplay will depend on the curiosity and efforts of person scientists.

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Additional resources for Dynamics of Natural and Artificial Celestial Bodies: Proceedings of the US/European Celestial Mechanics Workshop, held in Poznań, Poland, 3–7 July 2000

Example text

Introduction In the last years new research about the problern of roto-translational motion of celestial bodies has appeared; some papers within differential geometry frame, others still with the classical approach. In particular, they show a new interest in the study of configurations of relative equilibria in different models. In the problern of three rigid bodies Vidiakin (1997) and Duboshin (1984) proved the existence of Euler and Lagrange configurations of equilibria when the bodies possess symmetries (for a review see Zhuravlev and Petrutskii, 1990).

IIJ Figure 3. (a) Transitorbit from outside to inside Jupiter's orbit, passing by Jupiter. The tubes containing transit orbits (bounded by the cylindrical stable (lightly shaded) and unstable (darkly shaded) manifolds) intersect suchthat a transition is possible. (b) Orbit, beginning inside stable manifold tube in exterior region, is temporarily captured by Jupiter. 32 W. S. KOON ET AL. 8. , 1985). Their stable and unstable manifolds can be approximated as given in Parker and Chua (1989).

TRANSPORT BETWEEN RESONANCES The dynamical channel discussed in the previous section is a generic transport mechanism connecting the interior and exterior regions. g. the 3:2 and 2:3 Jupiter resonances). By numerically computing the connection between the interior and exterior resonances, we will obtain a deeper understanding of the mean motion resonance transition of actual Jupiter comets, such as Oterma. 3. TUBE LOCATION In Figure 5, the location of the tubes is shown schematically. To perform an Otermalike transition from outside to inside Jupiter's orbit, a comet orbit would begin inside the stable manifold tube of L 2 on the outside, then pass through the L 2 equilibrium region to the L 2 unstable manifold in the Jupiter region (as in Figure 3(a)).

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