The closest thing I know about, that's close to what you are talking about, is the wait calculation. Basically, if you assume that the velocity we can attain gr

The closest thing I know about, that's close to what you are talking about, is the wait calculation. Basically, if you assume that the velocity we can attain grows exponentially, and if you do a calculation, you'll find a "best time" when to launch. Assuming that the velocity grows with an exponential growth of 1.4%, equal to the current world economic growth, says that the earliest we would expect to get to the closest star is 1110 years from 2007, or 3117. https://en.wikipedia.org/wiki/Wait_Calculation https://en.wikipedia.org/wiki/Wait_Calculation