...1994[*]
(298) Baptistina itself is currently inside this resonance.
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...2007)[*]
We should point out that the objects that show significant differences in proper e and $\sin(i)$ with respect to the mean values of Vesta family members are not necessarily family members, and could just be asteroids that happen to be just close in frequency space because of the perturbing effect of the mean-motion resonance on the proper n. The possibility that these objects are former family members that migrated always needs to be verified by other methods such as long-term numerical simulations with symplectic integrators, compositional analysis, etc.
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... ``regularization''[*]
Here we use the term regularization with a different meaning than the one used in mathematics (solution of ill-posed inverse problems by introducing assumptions on the smoothness or the norm of the solution), or in quantum field theory (introduction of a regulator for dealing with infinite, divergent expressions). While this may be confusing for a reader familiar with other definitions of the term, we found that alternatives were even more confusing. For example, linearization in mathematics refers to finding the linear approximation to a function to a given point. Since the point we are using for linearizing the function is not the same for which we are computing the ``regularized'' value of the frequency, the term linearization was improperly used. For this reason, we opted for the term regularization.
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...#>100)[*]
Dividing the interval in s in three interval or more produced ensembles of asteroids with a not large enough number of members in each interval.
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... family[*]
Objects having values of e and $\sin(i)$ between the maximum and minimum of the classical Hansa family, and in the same range of semi-major axis.
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Copyright ESO 2009