DPS 2001 meeting, November 2001
Session 37. Galilean and Other Outer Planet Satellite Posters
Displayed, 9:00am Tuesday - 3:00pm Saturday, Highlighted, Friday, November 30, 2001, 9:00-10:30am, French Market Exhibit Hall

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[37.12] Time Analysis for Temporary Gravitational Capture.Stable Orbits

O.C. Winter, E. Vieira Neto (UNESP - BRAZIL)

In a previous work, Vieira Neto & Winter (2001) numerically explored the capture times of particles as temporary satellites of Uranus. The study was made in the framework of the spatial, circular, restricted three-body problem. Regions of the initial condition space whose trajectories are apparently stable were determined. The criterion adopted was that the trajectories do not escape from the planet during an integration of 105 years. These regions occur for a wide range of orbital initial inclinations (i ).In the present work it is studied the reason for the existence of such stable regions. The stability of the planar retrograde trajectories is due to a family of simple periodic orbits and the associated quasi-periodic orbits that oscillate around them. These planar stable orbits had already been studied (Hénon, 1970 and Huang & Inanen,1983). Their results are reviewed using Poincaré surface of sections. The stable non-planar retrograde trajectories, 110o < i < 180o are found to be tridimensional quasi-periodic orbits around the same family of periodic orbits found for the planar case (i =180o). It was not found any periodic orbit out of the plane associated to such quasi-periodic orbits. The largest region of stable prograde trajectories occurs at i =60o.Trajectories in such region are found to behave as quasi-periodic orbits evolving similarly to the stable retrograde trajectories that occurs at i =120o .

Acknowledgments. OCW and EVN thanks Fapesp and OCW also thanks CNPq for financial support.

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