Astronomy and Astrophysics – Astronomy
Scientific paper
May 2008
adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=2008dda....39.1202m&link_type=abstract
American Astronomical Society, DDA meeting #39, #12.02
Astronomy and Astrophysics
Astronomy
Scientific paper
Irregular satellite capture is studied in the context of the three-dimensional elliptic restricted three-body problem. Distributions of heliocentric orbits that lead to longer capture times are found. Unlike previous studies, which begin numerical integrations around the planet and take advantage of symmetry to find a subset of heliocentric capture orbits, here we consider the fully asymmetric case. Integrations starting near the planet are carried out both forward and backward. Those ending in escapes at both ends into heliocentric orbits are temporary captures free from symmetry restrictions and represent an unbiased distribution. Use of genetic algorithm optimization techniques yields preferentially long capture times chosen from random (satellite-centered) orbital element distributions. Fractal capture-time phase space structures from the symmetric problem, which consist of sticky tori surrounding periodic orbit family characteristic curves, are preserved in the asymmetric case.
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