Time Varying Coordinate Systems
In a general coordinate system, the basis vectors for the coordinates may vary in time at fixed positions, or they may vary with position at fixed times, or both. It may be noted that coordinate systems attached to both inertial frames and non-inertial frames can have basis vectors that vary in time, space or both, for example the description of a trajectory in polar coordinates as seen from an inertial frame. or as seen from a rotating frame. A time-dependent description of observations does not change the frame of reference in which the observations are made and recorded.
Read more about this topic: Mechanics Of Planar Particle Motion, Moving Objects and Observational Frames of Reference
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