This probably won’t make sense to anyone else, but I need to make a note reminding myself about something I thought about over lunch. (I always lose them otherwise, so maybe this will help me remember.) Read on if that kind of thing interests you.

Given: an ideal pseudoablative mass driver which uses pattern conversion to translate the trailing surface into a high-velocity sheet, imparting an acceleration to the remaining mass and exposing a self-similar surface. The mass driver is completely consumed by the process.

- Develop a set of equations relating the mass of the driver (
*m*), the exit velocity of the propellant (_{d}*v*), the surface area of the trailing surface (A_{x}_{t}) , the mass of the payload (*m*), and the total velocity imparted to the payload (_{p}*v*). Use the rocketry equation as a starting point, but use relativistic pseudovelocities in terms of multiples of_{p}*c*. - Figure out how to wedge the instantaneous acceleration (
*a*) in there somewhere. - Re-develop the “ideal conversion” equation, which relates the
*m*necessary to accelerate_{d}*m*to a given pseudovelocity._{p} - What kind of exit particle would provide the best efficiency for the driver? A photon?
- Determine how close this engine comes to the “ideal conversion” developed in 2.
- Determine the time and
*m*required for an in-system transit at 1g with midpoint turnaround._{d}/ m_{p} - Determine the time and
*m*required for a 4ly transit at 1g with midpoint turnaround._{d}/ m_{p}

No problem, I’ll have those equations for you after lunch . . .

:)