Rotation in the restricted three-body problem

Details Rotation in the restricted three-body problem Rotation in the restricted three-body problem

May 2007

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=2007padeu..19..163v&link_type=abstract

Publications of the Astronomy Department of the Eötvös University (PADEU), 2007, ISBN 963 463 557, Vol. 19. Edited by B. Érdi a

Astronomy and Astrophysics

Astronomy

Scientific paper

The rotation of a nonspherical small body is invetigated in the planar restricted three-body problem along periodic, quasi-periodic or chaotic orbits of the small body's center of mass. A systematic overview of the chaotic rotation dynamics via stroboscopic mappings is possible only in the periodic case. We propose to explore the phase space patterns of nonperiodic cases by following a droplet in the phase space. The temporal evolution of the pattern can be characterized by a time-dependent fractal dimension. It is shown to converge exponentially to the dimension of the phase space for long times.

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