Valery, et al - our engine team has spent some time looking at this worksheet, and we believe the difference in results between united and dimensionless formulations of the problem are a consequence of rescaling the parameters in the problem. The dimensionless problem is cast in terms of # of years and # of inverse miles rather than SI base units (# of seconds and # of inverse meters). Had the dimensionless version of the problem been cast in terms of SI base units they would have gotten answers equivalent to the results using units. The difference between minerr and minimize is a consequence of different stopping conditions which substantially affects the result because of the mismatched scales of the parameters.
Please see notes in the attached worksheet.
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