your right , and its going to require a program to get the slightly just right.

at least I would rather do it that way to be more precise.

because the 20 masses being accelerated (M1 - M20) will
be moving slower at the starting point of acceleration.
and faster at the ending point of acceleration where they enter the turnarounds.

this will set up a gradient between the turnaround exits and entrances.

I think it would be easier to just let a program do all the calculations from pipe P=0 to desired acceleration.

I could make the program build a text file as it runs the calculations.

and then post the text file.

3/4 inch of dust build up on the moon in 4.527 billion years,LOL and QM is fantasy science.