The set of all configurations of the system that can be assumed is called the configuration space of the system.
- In order to be able to talk about specific configurations we need to have a set of parameters that label the configurations. The parameters used to specify the configuration of the system are called the generalized coordinates.
The -dimensional configuration space can be parameterized by choosing a coordinate function that maps elements of the configuration space to -tuples of real numbers.
The motion of the system can be described by a configuration path mapping time to configuration-space points.
Corresponding to the configuration path is a coordinate path mapping time to tuples of generalized coordinates.
The function takes the coordinate-free local tuple and gives a coordinate representation as a tuple of the time, the value of the coordinate path function at that time, and the values of as many derivatives of the coordinate path function as are needed.
— 1.2 Configuration Spaces
— Structure and Interpretation of Classical Mechanics
— Me@2019-03-01 03:09:25 PM
2019.03.01 Friday ACHK