Hi, I'm an Australian physicist, and I should be able to help you with your project very quickly. I can attempt to provide an Excel sheet that performs these calculations, but if for some reason this is not possible (depending on whether Excel correctly uses hyperbolic trig functions), I am happy to perform the calculations externally and enter the data for you.
All I will need from you are the UTM coordinates/datum. Do you want DMS format?
I hope to hear from you if you have any further questions.
Regards, -- Jonathan.