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Sort by ID# and then date and measure distances

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I have a dataset of points grouped by an ID number field along with dates. I'd like to get a set of euclidean distances between the points within each ID number that are closest together in time. I have no problem grouping by ID number in model builder, but I have no idea how to measure the distance from just each point to the point that occurred next. Please let me know if this is possible and, if so, how.

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