The objective time of "local noon" also varies due to the Earth's orbit not being a perfect circle, and the Earth's axis being tilted with respect to the plane of its orbit. The variance is described by the equation of time:
Or one of those places that ignores its assigned time zone.
There are places in the western U.S. where entire towns operate on their own time, and the only place you'll find a "correct" clock is in the Post Office. Not even in City Hall.