Advanced Trains

This page is mainly about acceleration, which is often used by LZB to prevent trains from overspeeding or getting off track. This may also be useful for the emulation of Advtrains. Note that braking is also a type of acceleration.

The acceleration of each wagon is based on the type of the wagon:

The acceleration of the whole train can be calculated using:

    Acceleration of each wagon * Number of wagons + Acceleration of each engine * Number of engines
a = ———————————————————————————————————————————————————————————————————————————————————————————————  
                                           Number of wagons
                                                               Number of engines
  = Acceleration of each wagon + Acceleration of each engine * —————————————————
                                                               Number of wagons

The time needed to accelerate from v0 to v1 can be calculated as follows:

    v1 - v0
t = ———————
       a

The distance needed to accelerate from v0 to v1 can be calculated as follows:

             a
s = v0 * t + — * t^2
             2
         v1 - v0   a   / v1 - v0 \ 2
  = v0 * ——————— + — * | ——————— |
            a      2   \    a    /
    v1^2 - v0^2
  = ———————————
        2*a