Advanced Trains

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===== Acceleration =====
This page is mainly about acceleration, which is often used by [[lzb|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.

==== Acceleration value ====
The acceleration of each wagon is based on the type of the wagon:
^ Type of acceleration (lever) ^^ Acceleration value    ^^
^ :::                          ^^ Per wagon ^ Per engine ^
| Emergency brake          | BB | -10       | 0          |
| Normal brake             | B  | -3        | 0          |
| Roll                     | -  | -0.5      | 0          |
| Neutral                  | o  | 0         | 0          |
| Acceleration             | +  | 0.5       | 1.5        |

The acceleration of the whole train can be calculated using:
<code>
    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
</code>

==== Time needed for acceleration ====
The time needed to accelerate from ''v0'' to ''v1'' can be calculated as follows:
<code>
    v1 - v0
t = ———————
       a
</code>

==== Distance needed for acceleration ====
The distance needed to accelerate from ''v0'' to ''v1'' can be calculated as follows:
<code>
             a
s = v0 * t + — * t^2
             2
         v1 - v0   a   / v1 - v0 \ 2
  = v0 * ——————— + — * | ——————— |
            a      2   \    a    /
    v1^2 - v0^2
  = ———————————
        2*a
</code>
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