Midnight on your clock is very likely tens of minutes or even hours offset from solar midnight, let alone seconds: http://blog.poormansmath.net/images/SolarTime

Midnight on your clock is very likely tens of minutes or even hours offset from solar midnight, let alone seconds: http://blog.poormansmath.net/images/SolarTimeVsStandardTimeV2.png http://blog.poormansmath.net/images/SolarTimeVsStandardTimeV...