Mathematics – Probability
Scientific paper
Sep 2009
adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=2009dps....41.1905c&link_type=abstract
American Astronomical Society, DPS meeting #41, #19.05
Mathematics
Probability
Scientific paper
The origins of irregular satellites of the giant planets are an important piece of the giant "puzzle” that is the theory of Solar System formation. It is well established that irregular satellites are due to gravitational capture, however, it does not exist one well established capture mechanism to explain accomplish the capture. By studying a binary asteroid capture mechanism we found some important characteristics relative to the capture process, i.e., favorable configurations which results in a greater permanent capture probability. We performed more than 70,000 numerical simulations of capture trajectories considering a four-body problem dynamics with Sun, Jupiter and a couple of asteroids. Among the main results, we found that: 1) the minor asteroid is much more susceptible to permanent capture than its major partner, and is more likely captured in a prograde orbit; 2) permanent capture probability is higher for closer binary asteroids; 3) the permanent capture probability of the minor asteroid is predominantly higher for disruptions which occur in a ''eastern quadrature as seen from Jupiter, i.e., an angle of 90 degrees measured between Sun-Jupiter and Jupiter-binary directions, after the binary cross the Sun-Jupiter line; 4) though the disruptions occur more often when the two members of binary asteroid are aligned with Jupiter, the permanent captures of the minor asteroid preferentially succeed from the disruptions in which the minor asteroid is in inferior conjunction with its major partner, as seen from Jupiter. These results reflect the importance of the solar presence on the capture dynamics. Finally, the whole capture mechanism is explained in terms of energy exchanges.
Cabo Winter Othon
Gaspar H. S.
Vieira Neto Ernesto
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