Astronomy and Astrophysics – Astronomy
Scientific paper
Apr 2001
adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=2001cemda..79..297h&link_type=abstract
Celestial Mechanics and Dynamical Astronomy, v. 79, Issue 4, p. 297-314 (2001).
Astronomy and Astrophysics
Astronomy
3
Chaotic Scattering, Poincaré Section, Coorbital Satellites, Hill'S Problem, Chaotic Scattering, PoincarÉ, Section, Coorbital Satellites, Hill'S Problem
Scientific paper
The fractal nature of the transitions between two sets of orbits separated by heteroclinic or homoclinic orbits is well known. We analyze in detail this phenomenon in Hill's problem where one set of orbits corresponds to coorbital satellites exchanging semi-major axis after close encounter (horse-shoe orbits) and the other corresponds to orbits which do not exchange semi-major axis (passing-by orbits). With the help of a normalized approximation of the vicinity of unstable periodic orbits, we show that the fractal structure is intimately tied to a special spiral structure of the Poincaré maps. We show that each basin is composed of a few ‘well behaved’ areas and of an infinity of intertwined tongues and subtongues winding around them. This behaviour is generic and is likely to be present in large classes of chaotic scattering problems.
Henrard Jacques
Navarro Juan F.
No associations
LandOfFree
Spiral Structures and Chaotic Scattering of Coorbital Satellites does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.
If you have personal experience with Spiral Structures and Chaotic Scattering of Coorbital Satellites, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Spiral Structures and Chaotic Scattering of Coorbital Satellites will most certainly appreciate the feedback.
Profile ID: LFWR-SCP-O-1184321