If the law was written to say the second is " 1 / 86 400 of the mean solar day " or whatever, then yes this would need to be changed or updated or it would still apply.
32.
The length of the SI second was calibrated on the basis of the second of ephemeris time and can now be seen to have a relationship with the mean solar day observed between 1750 and 1892, analysed by Simon Newcomb.
33.
Therefore, time standards that change the date after precisely 86, 400 SI seconds, such as the International Atomic Time ( TAI ), will get increasingly ahead of time standards tied to the mean solar day, such as Greenwich Mean Time ( GMT ).
34.
Originally the second was defined as 1 / 86, 400 of the mean solar day, which is the year-average of the solar day, being the time interval between two successive noons, i . e ., the time interval between two successive passages of the sun across the meridian.
35.
Recently ( 1999 2010 ) the average annual length of the mean solar day in excess of 86, 400 SI seconds has varied between and, which must be added to both the stellar and sidereal days given in mean solar time above to obtain their lengths in SI seconds ( see Fluctuations in the length of day ).
36.
In the introduction to Newcomb's Tables of the Sun ( 1895 ) the basis of the tables ( p . 9 ) includes a formula for the Sun's mean longitude, at a time indicated by interval T ( in Julian centuries of 36525 mean solar days ) reckoned from Greenwich Mean Noon on 0 January 1900:
37.
The tiny increase of the mean solar day due to the slowing down of the Earth's rotation, by about 2 ms per day per century, which currently accumulates up to about 1 second every year, is not taken into account in traditional definitions of the equation of time, as it is imperceptible at the accuracy level of sundials.
38.
The fact that these planes don't match has to be taken into account when calculating the difference between the " mean solar day " ( i . e . an exact 24 hour period measured on the clock ) and the " apparent solar day ", which is the time between the reappearance of the sun in the same position on successive turns of the earth around its axis.
39.
Just as adding a leap day every four years does not mean the year is getting longer by one day every four years, the insertion of a leap second every 800 days does not indicate that the mean solar day is getting longer by a second every 800 days . It will take about 50, 000 years for a mean solar day to lengthen by one second ( at a rate of 2 ms / cy, where cy means century ).
40.
Just as adding a leap day every four years does not mean the year is getting longer by one day every four years, the insertion of a leap second every 800 days does not indicate that the mean solar day is getting longer by a second every 800 days . It will take about 50, 000 years for a mean solar day to lengthen by one second ( at a rate of 2 ms / cy, where cy means century ).
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