Bad Beat Jackpot Calculations

[snoopdarr]

I'm familiar with the idea of progressive jackpots, applied to video poker, giving the game positive expectation when they reach some high number. But I haven't seen any work on what number various BBJP would have to reach for that .05 or $1 dropped out of every pot to show a positive expectation?

The variables: your contribution to the jackpot (per hand), the probability of the jackpot hand occuring.

The question I haven't seen a lengthy analysis on is the probability of hitting certain jackpots. Remember that they are all a certain hand OR BETTER beat. Is simulation the only way to go about figuring those odds? If so, what simulation software will permit me to do this? Has this work already been done and I just haven't found it?