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Titlebook: New Advances in Celestial Mechanics and Hamiltonian Systems; HAMSYS-2001 J. Delgado,E. A. Lacomba,E. Pérez-Chavela Conference proceedings 2

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21#
發(fā)表于 2025-3-25 04:44:38 | 只看該作者
22#
發(fā)表于 2025-3-25 11:22:16 | 只看該作者
Are There Perverse Choreographies?,roblem where all n bodies follow one and the same curve qit) with equal time spacing (see [2]). In the sequel, we shall identify the planar curve . with a mapping .: ?/.? → ? (for convenience of notation, we have chosen the period to be n; well chosen homotheties on configuration and velocities reduce the general case to this one).
23#
發(fā)表于 2025-3-25 13:58:22 | 只看該作者
Symbolic Dynamics for Transition Tori-II, collection of transition tori, there exists a set invariant for a certain power of the symplectic diffeomorphism, on which the dynamics is semi-conjugate to a full shift. Our treatment relies on an earlier article of C. Robinson.
24#
發(fā)表于 2025-3-25 18:05:15 | 只看該作者
25#
發(fā)表于 2025-3-25 23:43:08 | 只看該作者
26#
發(fā)表于 2025-3-26 01:15:25 | 只看該作者
27#
發(fā)表于 2025-3-26 07:31:47 | 只看該作者
28#
發(fā)表于 2025-3-26 10:46:40 | 只看該作者
29#
發(fā)表于 2025-3-26 13:07:03 | 只看該作者
30#
發(fā)表于 2025-3-26 18:19:21 | 只看該作者
Exchange and Capture in the Planar Restricted Parabolic 3-Body Problem,eems to be distinct from criteria introduced by Merman [1954] for the hyperbolic and parabolic restricted problems. We review Kocina’s example of exchange where the infinitesimal mass mo comes from infinity forming a bounded binary with m2 and escapes forming a bounded binary with . 1, and obtain new classes of orbits of symmetric exchange.
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