The phrase "logistically very difficult" sounds fine, but depending on the context you might also use,
Given that conducting the experiment is impractical, …
or
Given that conducting the experiment is not feasible, …
Since when you're describing an experiment as feasible, it would be generally understood that you're referring to the feasibility of conducting the experiment, you could probably simplify this to:
Given that the experiment is not feasible, …
Also note, you could replace "not feasible" with "infeasible", but that's a much less common word.
I can't think of any English term that is regularly used for this – at least, not in a noun form.
As Steve Ives mentioned in his answer, this is how I would ask the question:
What time are you leaving?
The term departure time is grammatically correct, but that expression is normally reserved for transportation: planes, trains, and busses. And it generally refers to the time that the conveyance departs (everyone knows that passengers must arrive earlier than that so they can all board before departure.)
If you want to tell your friends that you'll be leaving the campus at 5 o'clock, you'd say something like:
I should be leaving the campus around five.
or:
I should be done at the campus around five.
You'd only use departure time if you were trying to be funny by making something ordinary (i.e., leaving the campus) sound very official:
My departure time from campus will be 5 o'clock.
I could say a father saying this to his young children, if they were leaving for a trip the next day:
Our departure time will be 8 AM.
but that would be overly formal and therefore deliberately humorous. A more natural way to say it would be:
I want us to get out of here by eight.
or:
Let's be pulling out of the driveway before 8 AM.
The same holds for arrival time. We typically say something like:
We should be there a little before 10.
not:
We have a 9:55 estimated arrival time.
unless we are trying to be somewhat humorous by being overly technical.
Best Answer
One phrase sometimes used is herculean task, a metaphor based on the labors of Hercules.
TFD defines herculian as:
Although Hercules accomplished his tasks long ago, the phrase is still in vogue. You can find many instances of it in contemporary news articles, like this one: