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• Physics

# Configuration space

In analytical mechanics, the configuration space is the generalised 6N coordinate space of the position and velocity of a mechanical system described by the Lagrange equations.

There are therefore 3N position coordinates $q_{i}$ and 3N velocity coordinates$\dot{q_{i}}$. The dot denotes the total derivative of the preceding coordinate with respect to time, i.e. $\dot{q_{i}}=\frac{dq_{i}}{dt}$.

From the configuration space a space allowing a more powerful formulation of the equations of mechanics can be built. This is the phase space of Hamilton equations.

### connexes

#### Definition

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