This may take some time............

http://www.jpl.nasa.gov/news/news.php?feature=4643&utm_source=iContact&utm_medium=email&utm_campaign=NASAJPL&utm_content=weekly20150702-4
https://en.wikipedia.org/wiki/Leap_second

You ask 'geocentrists' to explain what? In a geocentric scenario it is the rotation of the universe that brings about the time of a day. So if a day slows it is the universe that is slowing. God must be getting tired.

Your website says: The average length of a day, based on how long it takes Earth to rotate - is about 86,400.002 seconds long.
Scientists estimate that the mean solar day hasn't been 86,400 seconds long since the year 1820 or so.
'Estimate?' Have they a record of this? Is there a record of an 1820 timing of 86,400.000 seconds I wonder. Bet there isn't
Tell you what. If they come back in 100 years and show an earth day is 86,400.003 seconds long, then they will have proved the day is getting slower.  

One other word of advice. I myself am a biblical geocentrist. I take the advice of St Thomas Aquinas

‘The knowledge proper to this science of theology comes through divine revelation and not through natural reason. Therefore, it has no concern to prove principles of other sciences, but only to judge them. Whatever is found in other sciences contrary to any truth of this science of theology must be condemned as false.’ --- (ST, I, Q 1, a 6, ad 2).  

Heliocentrists came into the world as pagan sun-worshippers and were condemned in the Scriptures. The next time they appeared they claimed they had proof for their heliocentrism (Galileo) and since then keep adding to these proofs. Nearly all in Church and State believed them.
By the end of the nineteenth century science knew there was no proof and that no such proof exists. Thus biblical geocentrism and those like Cardinal Bellarmine were vindicated, and Galileo exposed as the suspect of heresy that he was condemned as.

Now as a revelation, a dogma, a matter of faith, as St Thomas says, it has no obligation to prove any of its geocentrism. Pope Urban VIII ruled that God in His infinite power and wisdom caused the universe to move around the earth using whatever means He chose, and our human minds cannot pretend to a knowledge and certainty about nature that would limit and restrict His omnipotence.

In other words, geocentrists do not have to account how a geocentric universe slows down if indeed the days are getting slower.

Heliocentrists of course like to pretend they do know these things and thus you get the theories up on that website you posted Jehanne.

Stop these inane threads already.  You are not qualified to comment on this subject due to crass ignorance of math and physics.

Ditto.

It's more stupid heliocentric propaganda. It's a sore embarrassment, if not a disgrace, that  there are actually "Traditionalist" Roman Catholics who believe Copernicus, Kepler, Galileo, Einstein and Newton had any idea better than the Bible and the Church, and what common sense and many other sound scientific opinions have had to say.

If you can't tell already that the Earth is not moving, and the Sun orbits the Earth, what do you want? Did you leave your brain on the refrigerator?

Quote from: Jehanne

http://www.jpl.nasa.gov/news/news.php?feature=4643&utm_source=iContact&utm_medium=email&utm_campaign=NASAJPL&utm_content=weekly20150702-4
https://en.wikipedia.org/wiki/Leap_second

You ask 'geocentrists' to explain what? In a geocentric scenario it is the rotation of the universe that brings about the time of a day. So if a day slows it is the universe that is slowing. God must be getting tired.

Did you read the article:

VLBI tracks these short- and long-term variations by using global networks of stations to observe astronomical objects called quasars. The quasars serve as reference points that are essentially motionless because they are located billions of light years from Earth. Because the observing stations are spread out across the globe, the signal from a quasar will take longer to reach some stations than others. Scientists can use the small differences in arrival time to determine detailed information about the exact positions of the observing stations, Earth's rotation rate, and our planet's orientation in space.

Solar time and sidereal time are different:

https://en.wikipedia.org/wiki/Sidereal_time

A solar day (86,400.002 seconds) is longer than a sidereal day (86,164.1 seconds) and those values are changing at different rates.

What, NASA is never wrong? The science of the day will be obsolete when?

yes Jehanne, I am aware that a star day is four minutes less than a solar day leading to precession of the equinoxes. This applies to both G and H systems.

Now you and others trying to debunk the G system bringing up all kinds of proofs of falsifications of geocentrism should really be competing with the relativity of science, begun by Mach and Einstein and taken up by thousands of physicists since then.

If you guys are correct and have actually made the break through you claim I suggest you submit your proofs to the world's scientific academies and you would all become famous. Imagine, proving Mach and Einstein wrong, what an achievement.

So why waste your time and talents on this forum  and go show the world of modern science you can PROVE the H system is true after all.  

What evidence, if any, could persuade you that the Earth moves, once a day about its axis of rotation, and once a year around the Sun:

http://www.astrobio.net/topic/solar-system/earth/first-direct-measurement-of-earths-rotation/