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add turning radius calculation doc
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AtsushiSakai committed Sep 16, 2024
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4 changes: 2 additions & 2 deletions docs/modules/appendix/steering_motion_model_main.rst
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Expand Up @@ -70,7 +70,7 @@ So, the curvature can be calculated as follows.

:math:`\kappa = \frac{2sin\frac{\theta}{2}}{d}`

curvatur4d)neT[BtQVp2Ue change by maximum steering speed
Target speed by maximum steering speed
~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~

If the maximum steering speed is given as :math:`\dot{\delta}_{max}`,
Expand All @@ -86,7 +86,7 @@ the maximum curvature change rate :math:`\dot{\kappa}_{max}` can be calculated a

If we can assume that the vehicle will not exceed the maximum curvature change rate,

the velocity :math:`v_{min}` can be calculated as follows:
the target minimum velocity :math:`v_{min}` can be calculated as follows:

:math:`v_{min} = \frac{d_{t+1}+d_{t}}{\Delta t} = \frac{d_{t+1}+d_{t}}{(\kappa_{t+1}-\kappa_{t})}\frac{tan\dot{\delta}_{max}}{WB}`

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