This talk will give an exposition of some recent tools for the computation of transport rates in celestial as well as molecular systems. After a review of the theory, illustrations will be given of the computation of the rate of transport of objects the Hilda asteroid group to objects that cross the orbit of Mars employing a three body model. Another example is the computation of ionization rates in the Rydberg atom. This example is interesting because it involves the sort of tube dynamics that is also of interest in the design of multi-moon orbiter space missions that transition from one three body system to another.
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