Talk:Leap second: Difference between revisions

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Is there any practical considerations with regards to leap seconds? How does it affect anything? I suppose, for example, that the [[Unix epoch]] which counts seconds starting from January 1, 1970 would be about 22 (?) seconds out of sync with UTC, right? I think that discussions on such practical aspects needs to placed in the article. --[[User:Seav|seav]] 06:05, Jan 3, 2004 (UTC)
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== Using a 2018 clock to tell time in 2010? ==
: I believe it has something to do with GPS systems, airline computers and the like.... but i'm just drawing that from my head, from an article I read about the latest spin correction... I don't have enough info to add to the entry. [[User:Lyellin|Lyellin]] 06:12, Jan 3, 2004 (UTC)
 
The following text was added to the article recently: &ldquo;Indeed, if an archive indicates a time stamp of 2010-10-01 00:00:00 UTC, this time was 2010-09-30 23:59:57 on a 2018 clock, since in the meantime three leap seconds were inserted.&rdquo; This makes no sense to me. There is no such thing as a "2018 clock" there is only the UTC clock. Even if there were a "2018 clock", how could you use it to measure time in 2010? This sentence needs a better explanation for it to make sense, or it should be deleted. [[User:John Sauter|John Sauter]] ([[User talk:John Sauter|talk]]) 21:02, 14 October 2018 (UTC)
:: Here someone asks a few relevant questions
:I understand what problem the sentence is intended to describe, but I agree that we need a clearer way to state it. Perhaps a mention of [[Unix time]]? [[User:Dbfirs|<span style="font-family: verdana;"><i style="color: blue;">D</i><i style="color: #0cf;">b</i><i style="color: #4fc;">f</i><i style="color: #6f6;">i</i><i style="color: #4e4;">r</i><i style="color: #4a4">s</i></span>]] 21:24, 14 October 2018 (UTC)
:: * http://www.mail-archive.com/leapsecs@rom.usno.navy.mil/msg00051.html
::I hope there is no need to mention UNIX time. UNIX time is poorly designed: it only covers 1970 to 2038 on 32-bit systems, and it does not have a unique representation for a leap second. Perhaps the meaning is &ldquo;If you use a clock which does not include leap seconds, and it is synchronized to UTC in 2018, if you extend that clock back to 2010 it will not correspond to UTC because of the omission of leap seconds.&rdquo; If that is the intended meaning, the sentence adds nothing useful to the article. Having seen no objection, I am removing the sentence. [[User:John Sauter|John Sauter]] ([[User talk:John Sauter|talk]]) 21:19, 20 October 2018 (UTC)
:: and here is some related discussion, I think
:::I agree with your removal of the text. [[User:Dbfirs|<span style="font-family: verdana;"><i style="color: blue;">D</i><i style="color: #0cf;">b</i><i style="color: #4fc;">f</i><i style="color: #6f6;">i</i><i style="color: #4e4;">r</i><i style="color: #4a4">s</i></span>]] 06:45, 21 October 2018 (UTC)
:: * http://www.metrology.asn.au/leapseconds.htm
:: Essentially, there is a tension between our convention that a day is a fixed length, and our recording devices, because it isn't quite as we wish; I expect the tension will increase as the accuracy of our recording and measuring devices increase. However, I'm far from any kind of expert on the matter! :) [[User:Kyk|Kyk]] 06:32, 3 Jan 2004 (UTC)
 
Unix time isn't poorly designed, it's poorly and lazily implemented. From the article - "since 1970-01-01 00:00:00 in Unix machines or since 1900-01-01 00:00:00 in NTP. This counter has no indicator that a leap second has been inserted..." That statement, and the related POSIX definitions, are self-contradictory. If Unix/POSIX (even NTP) time actually counted seconds in an epoch, the leap seconds would be in there. Fact is, they don't. They simply follow the incorrect assumption that there are no leap seconds, so when a leap second occurs they become discontiguous - they repeat or delete a second, just to make conversion between their so-called "epoch time" and wall clock time easy to do, since accounting for leap seconds is then unnecessary. Current Unix time has 27 fewer seconds than there have actually been since 1/1/70. [[User:Msauve|Msauve]] ([[User talk:Msauve|talk]]) 23:16, 22 December 2019 (UTC)
::: The following page has a very useful explanation of leap seconds:
 
I consider the POSIX definition of time_t as &ldquo;Seconds since the Epoch&rdquo; and simultaneously as an encoding of UTC as the design, and the code that attempts to implement that definition as the implementation. On that basis, the problem is with the design. I agree that the design is poor, but I would hesitate to call it lazy, since I don't know what constraints the authors of that part of POSIX were under. [[User:John Sauter|John Sauter]] ([[User talk:John Sauter|talk]]) 00:21, 23 December 2019 (UTC)
::: * http://tycho.usno.navy.mil/leapsec.html
:What? No, the minimum representable date is Friday 1901-12-13 (not 1970), and the maximum representable date is Tuesday 2038-01-19 in the 32 bit Unix time. I will remind you that the most significant bit is actually a sign and when it is 1, it will be negative (in this case less than 1970). [[Special:Contributions/2A00:1FA0:42F5:C6EF:9152:8171:73ED:3C42|2A00:1FA0:42F5:C6EF:9152:8171:73ED:3C42]] ([[User talk:2A00:1FA0:42F5:C6EF:9152:8171:73ED:3C42|talk]]) 15:23, 12 June 2020 (UTC)
::Where in POSIX does it specify that {{mono|time_t}} is signed? In [https://pubs.opengroup.org/onlinepubs/9699919799/basedefs/sys_types.h.html the Single UNIX Specification {{mono|sys/types.h}} page], it merely says that "'''time_t''' shall be an integer type.", not that it shall be a ''signed'' integer type.
::In practice, few if any UN*Xes have it as an unsigned type, but "the POSIX definition of time_t" is "what the Single UNIX Specification says", not "what UN*Xes do in practice, over and above what the SUS requires". [[User:Guy Harris|Guy Harris]] ([[User talk:Guy Harris|talk]]) 16:01, 12 June 2020 (UTC)
 
== Can leap seconds really be other months? ==
The only reason for leap seconds, in fact calendars vs timekeeping is to keep the Earth's surface position, and season timings in sync with the traditional points in the sky which mark the events. The reason for the gregorian calendar adjustment was to insert days into the mix to move easter back to occuring in it's traditional relation with the sky positions. (I don't recall these exactly and the details are not relevant to my point). The leap seconds are gradually realiging the earth's position back to day alignment as the leap year days adjust the calendar.
 
It seems the IERS [https://datacenter.iers.org/data/latestVersion/16_BULLETIN_C16.txt doesn't think so]: "Leap seconds can be introduced in UTC at the end of the months of December or June, depending on the evolution of UT1-TAI." <!-- Template:Unsigned IP --><small class="autosigned">—&nbsp;Preceding [[Wikipedia:Signatures|unsigned]] comment added by [[Special:Contributions/128.240.225.21|128.240.225.21]] ([[User talk:128.240.225.21#top|talk]]) 11:02, 10 October 2019 (UTC)</small> <!--Autosigned by SineBot-->
The earths nutation has caused the slipage and it was traditionally ignored, but there is still a significant amount to be accounted for, if I recall, it is a matter of inserting the adjustments to minimize other factors.
:Yes, up to the present, only the months of June and December have ever been used for leap seconds, and these will always be the preferred months, with second choices being March and September, but the standard allows any month to be used if a catastrophic volcanic eruption or earthquake suddenly changes the length of the day. The overarching aim is to keep [[Coordinated Universal Time]] within nine-tenths of a second of [[Universal Time]]. I haven't mentioned GMT because some sources use it to mean UTC and some to mean UT1. [[User:Dbfirs|<span style="font-family: verdana;"><i style="color: blue;">D</i><i style="color: #0cf;">b</i><i style="color: #4fc;">f</i><i style="color: #6f6;">i</i><i style="color: #4e4;">r</i><i style="color: #4a4">s</i></span>]] 20:08, 10 October 2019 (UTC)
 
== Plan to delete "Questioning the utility of leap seconds" and replace with (by moving up) "International proposals for elimination of leap seconds" ==
 
Although I have deleted the most blatant OR and opinionising [is that a word?], the sub-section "Questioning the utility of leap seconds" is unsourced and IMO, adds nothing to the article. The sentiments it expresses are given far more succinctly (with citations!) in "International proposals for elimination of leap seconds". It seems to me that it would make a lot more sense to simply delete it and lead the "Future of the leap second" section with the International proposals subsection. As I have already wielded the pruning saw fairly heavily, maybe it is best if I pause for comments? --[[User:John Maynard Friedman|John Maynard Friedman]] ([[User talk:John Maynard Friedman|talk]]) 17:24, 27 October 2019 (UTC)
:"Roughly 50000 years in the future, one can expect to have a day of 86401 seconds if the definition of the SI second is not eventually changed."
:I believe I improved this content by removing heading and the first sentence. I am not opposed to further improvement. It seems good to describe problems associated with leap seconds before we get to the proposals to eliminate them. ~[[User:Kvng|Kvng]] ([[User talk:Kvng|talk]]) 14:22, 30 October 2019 (UTC)
I'm not sure, but I think in the year 4000 the [[Gregorian Calendar]] won't work as it does now a days... so this phrase would be irrelevant... could someone check it out? I'm busy... --[[User:Henriquevicente|Henriquevicente]] 01:12, Apr 26, 2005 (UTC)
::Yes, that was a big improvement and made the article a lot more readable. I've gone further, deleting some more trivia from that new "sub-lead" so that it really concentrates on stating the essence of the problem and what needs to be done about it. I've moved the International Proposals up to follow that new sub-lead because I believe that most readers want to know what is being done about it before getting into details on the practical issues arising from each time a leap second is created. Looking forward, I know that [[WP:NOTGUIDE|Wikipedia is not a guide]] but I do think it would be good to work towards providing an information source that forewarns readers about what they may need to do to get ready. --[[User:John Maynard Friedman|John Maynard Friedman]] ([[User talk:John Maynard Friedman|talk]]) 18:37, 30 October 2019 (UTC)
 
== Proposed new version of the lead ==
:You may be falling into a (popular!) intellectual trap here, namely confusing the length of the day with the length of the year. The two are independent oscillations. Changing the leap-year rule near 4000 (no serious astronomer is confident to predict the exact length of the year that far into the future) would not affect the length of the day after that. --anon
 
IMO, the lead as it stands at present doesn't meet the standards of [[WP:LEAD]]. It doesn't provide a succinct summary of the article and gets bogged down in detail. I have drafted this replacement text. As it is a significant change, I thought I should check first whether anyone disagrees. (Some of the details that I weeded out will need to be relocated, probably at history.
:The purpose of Leap Years in the Gregorian Calendar is to keep the calendar synchronized with the seasons, nothing more. The 4000-Year Rule as proposed by astronomer [[John Herschel]], among others, i.e., dropping a leap year every 4000 years, is still just a proposal. Let 'em start worring about it, say, around 3990 A.D.! --[[User:Hydrargyrum|Quicksilver]]<sup>[[User talk:Hydrargyrum|T]] [[Special:Emailuser/Hydrargyrum|@]]</sup> 18:58, 16 November 2005 (UTC)
 
{{quote|text=A '''leap second''' is a one-[[second]] adjustment that is occasionally applied to [[Coordinated Universal Time]] (UTC), to accommodate the difference between precise time (as measured by [[atomic clock]]s) and imprecise [[solar time#Mean solar time|observed solar time]] (known as [[UT1]] and which varies due to [[Earth rotation#Changes|irregularities]] and long-term [[ΔT|slowdown in the Earth's rotation]]). The UTC time standard, which is widely used for international timekeeping and as the reference for [[civil time]] in most countries, normally uses precise "atomic time" and consequently would run ahead of observed solar time, unless reset occasionally. The UTC specification requires that this difference should not become significant: the leap second facility exists to provide this adjustment.
::It seems to me that if leap seconds are thought necessary because the earth's rotation slows slightly, it's the value of the second that requires adjustment, not the number of seconds in a particular minute. [[User:Ihcoyc|Smerdis of Tlön]] 21:04, 1 January 2006 (UTC)
 
When it is mandated, a positive leap second is inserted between second 23:59:59 of a chosen UTC [[calendar date]] and second 00:00:00 of the following date. The definition of UTC states that the last day of December and June are preferred, with the last day of March or September as second preference, and the last day of any other month as third preference.<ref>{{cite web|url=https://www.itu.int/rec/R-REC-TF.460-6-200202-I/en|title=International Telecommunications Union Radiocommunications sector recommendation TF.460-6: Standard-frequency and time-signal emissions|accessdate=February 9, 2017|url-status=live|archiveurl=https://web.archive.org/web/20161017185018/https://www.itu.int/rec/R-REC-TF.460-6-200202-I/en|archivedate=October 17, 2016}}</ref> All leap seconds (as of 2019) have been scheduled for either June 30 or December 31. The extra second is displayed on UTC clocks as 23:59:60. On clocks that display local time tied to UTC, the leap second may be inserted at the end of some other hour (or half-hour or quarter-hour), depending on the local time zone. A negative leap second would suppress second 23:59:59 of the last day of a chosen month, so that second 23:59:58 of that date would be followed immediately by second 00:00:00 of the following date. Since the introduction of leap seconds, the mean solar day has outpaced atomic time only for very brief periods, and has not triggered a negative leap second.
:::Not sure what you're actually suggesting, but it's impractical to change the value of the second. Many very precise measurements are based on a constant value of the second, and you could cause chaos by trying to change that value. [[User:Fireworks|FireWorks]] 21:24, 1 January 2006 (UTC)
 
Because the Earth's rotation speed varies in response to climatic and geological events,<ref>{{cite web|url=https://www.iers.org/IERS/EN/Science/EarthRotation/EarthRotation.html|title=IERS science background|publisher=[[IERS]]|___location=Frankfurt am Main|date=2013|accessdate=August 6, 2016|url-status=live|archiveurl=https://web.archive.org/web/20160829050135/https://www.iers.org/IERS/EN/Science/EarthRotation/EarthRotation.html|archivedate=August 29, 2016}}</ref> UTC leap seconds are irregularly spaced and unpredictable. Insertion of each UTC leap second is usually decided about six months in advance by the [[International Earth Rotation and Reference Systems Service]] (IERS), when needed to ensure that the difference between the UTC and UT1 readings will never exceed 0.9 seconds.<ref name="Bulletin C 49">{{cite web|url=http://hpiers.obspm.fr/eoppc/bul/bulc/bulletinc.49|title=Bulletin C 49|last=Gambis|first=Danie|date=January 5, 2015|publisher=[[IERS]]|___location=Paris|accessdate=January 5, 2015|url-status=live|archiveurl=https://web.archive.org/web/20150530123243/https://hpiers.obspm.fr/eoppc/bul/bulc/bulletinc.49|archivedate=May 30, 2015}}</ref><ref>{{cite web|url=https://www.theverge.com/2015/1/7/7508651/leap-second-2015-earths-rotation-slowing|title=2015 is getting an extra second and that's a bit of a problem for the internet|author1=James Vincent|website=[[The Verge]]|date=January 7, 2015|url-status=live|archiveurl=https://web.archive.org/web/20170317175523/http://www.theverge.com/2015/1/7/7508651/leap-second-2015-earths-rotation-slowing|archivedate=March 17, 2017}}</ref>
::::Well, I'm all for causing chaos; but it strikes me that some other unit of time with a different name needs to be adopted. The length of the day, the length of the year, and therefore the value of the second are ''not'' constants; they are astronomical facts beyond the reach of human standards. [[User:Ihcoyc|Smerdis of Tlön]] 23:29, 1 January 2006 (UTC)
 
This practice has proved disruptive in the modern era, particularly in services that depend on rigorous [[time stamp]]ing or time-critical [[process control]]. The relevant international standards body has been debating whether or not to continue the practice with an increasing number of nations supporting its abolition.}}
::::: I think you'll probly find that there's two seconds: One of which is 1/24*60*60 of a day long, and one of which is precisely "the duration of 9&nbsp;192&nbsp;631&nbsp;770 periods of the radiation corresponding to the transition between the two hyperfine levels of the ground state of the caesium-133 atom", whatever that means. It's a convenient fiction that they're the same, when in reality they've never been the same (at least as long as the latter's been defined), thus quoth: [http://www.ucolick.org/~sla/leapsecs/dutc.html]. Because it's easier to make international standards based on the second definition (apparently) our second count is based on that. I think it would've been better if the SI had've called the latter one the "[[Simon Newcomb|newcomb]]" or some such. It's probably relevant that before 1972 the basis for civil time ''did'' use these variable-length seconds. —[[User:Cassowary|Felix the Cassowary]] 14:05, 2 January 2006 (UTC)
Any objections? --[[User:John Maynard Friedman|John Maynard Friedman]] ([[User talk:John Maynard Friedman|talk]]) 21:57, 1 November 2019 (UTC)
 
:I read the reference at [2] and don't see any mention of climatic events affecting Earth's rotation. Are you sure they have a measurable contribution? [[Special:Contributions/31.168.44.122|31.168.44.122]] ([[User talk:31.168.44.122|talk]]) 08:39, 22 December 2024 (UTC)
== Frequency of changes ==
::The debate about the lead finished some time ago but, since you raised the point, here is a recent reference: [https://www.nhm.ac.uk/discover/news/2024/march/climate-change-causing-days-get-longer-slowing-down-earth.html Climate change is causing days to get longer by slowing down the Earth] (Natural History Museum). It is the effect seen when an ice-skater spins on the spot with arms up v. outstretched.--[[User:JMF|𝕁𝕄𝔽]] ([[User talk:JMF|talk]]) 13:01, 22 December 2024 (UTC)
:::"It's an ill wind" etc. The article needed to be updated with that info, which I have now done. So thank you for raising it. --[[User:JMF|𝕁𝕄𝔽]] ([[User talk:JMF|talk]]) 16:02, 22 December 2024 (UTC)
 
{{reflist talk}}
The article states that "Historically, leap seconds have been inserted about every 18 months". I did a quick check of the table and it looks like the interval has been 18 months only 5 times, while it has been 12 months 14 times. Might it be better to start that paragraph at "The Earth's rotation rate is unpredictable..."?
 
I suggest removing &ldquo;normally&rdquo; from the first paragraph: UTC uses SI seconds, by its definition. I also think the last paragraph could be eliminated from the lead, and moved to the beginning ofthe section on problems with leap seconds. If the lead is too long, even with the last paragraph eliminated, I think keeping just the first paragraph would be good: it clearly and succintly describes leap seconds. [[User:John Sauter|John Sauter]] ([[User talk:John Sauter|talk]]) 07:19, 2 November 2019 (UTC)
Looking at the frequency of updates and the fact that we have gone 7 years without one, the higher frequency up to 1998 would appear to be some sort of gradual 'catch up'. Would that be a correct interpretation?
 
Thanks {{u|John Maynard Friedman}}. This looks like an improvement. I support replacing the current lead.
[[Special:Contributions/82.43.52.87|82.43.52.87]] 16:16, 30 July 2005 (UTC)
 
I think we should keep the last paragraph in your proposal as that topic accounts for more than half the body of the article at present. Maybe that's [[WP:UNDUE]] or [[WP:RECENT]] but that's where we are and the lead should summarize the article. ~[[User:Kvng|Kvng]] ([[User talk:Kvng|talk]]) 16:40, 2 November 2019 (UTC)
:The frequency of about every 18 months is correct for all leap seconds between 1 January 1972 and 31 December 2005, including the initial 6 month interval and the final 84 month interval, because the mathematical average during that period was 17.7 months. A graph showing the relationship of UTC to UT1 can be found at [http://hpiers.obspm.fr/eop-pc/earthor/utc/leapsecond.html], showing that there was no attempt to 'catch up'. Rather, Earth's rate of rotation actually sped up slightly during 1997. &mdash; [[User:Joe Kress|Joe Kress]] 21:15, 30 July 2005 (UTC)
:Thank you both. I really had doubts about keeping the second paragraph but thought perhaps I might be going too far. I am encouraged to be bold and chop it. Since moves to eliminate the leap second (and the problems they have caused) take up a good chunk of the article, a mention in the lead seems essential to me too, especially as it is only two lines. But "modern era" is a bit pompous, I'll change it to "the twenty first century" (I would prefer "recent years" but that would just attract a "how recent" tag!)--[[User:John Maynard Friedman|John Maynard Friedman]] ([[User talk:John Maynard Friedman|talk]]) 21:52, 2 November 2019 (UTC)
 
===All my proposed changes complete===
I quite liked this: http://www.post-gazette.com/pg/05210/545823.stm although I have no idea if it's suitable as an external link on the article.
I have replaced the lead as discussed above, with a few minor improvements in the process. I moved the second paragraph of the draft (about the process) down into a new sub-section of that name in the body. The rest of the original lead just duplicated material that was already in the body and better written, so I've discarded it. With great reluctance and fighting my [[Dr Strangelove]] impulses, I resisted the temptation to change the title of the ''History'' section to ''A brief history of time''. The article is now thrown to the wolves, I rest my case. --[[User:John Maynard Friedman|John Maynard Friedman]] ([[User talk:John Maynard Friedman|talk]]) 22:43, 2 November 2019 (UTC)
 
== Source does not support statement in "Slowing rotation of the Earth" section ==
:I also like it and I'll add it. &mdash; [[User:Joe Kress|Joe Kress]] 03:54, 31 July 2005 (UTC)
 
The last sentence of the second paragraph in the section states, {{green|"Over the last few centuries, the periodic component reduced the rate of lengthening of the mean solar day to about 1.4 ms per century,"}} citing a source by Steve Allen, which contains the statement, {{green|"... the LOD [length of day] change is 1.4 ms/day/century, which accumulates to 25.6 s/century² ..."}}. The figure of 25.6 seconds per century seems to be in line with the number of leap seconds added in the last few decades. The superscript "2" implies "century squared", but I don't understand what that means. Am I interpreting the source correctly to think that the sentence in the article should read, {{green|"Over the last few centuries, the periodic component reduced the rate of lengthening of the mean solar day to about 25.6 seconds per century"}}? - [[User talk:Donald Albury|Donald Albury]] 18:48, 30 January 2020 (UTC)
== Simple naming question ==
:Yes, that makes a lot more sense. 1.4ms/century would mean a leap second every 700 years or so! (Could the superscript 2 be a footnote or endnote marker?) --[[User:John Maynard Friedman|John Maynard Friedman]] ([[User talk:John Maynard Friedman|talk]]) 20:32, 31 January 2020 (UTC)
::I wish I were more confident about interpreting the formula, but it has been close to 60 years since my physics courses. - [[User talk:Donald Albury|Donald Albury]] 00:59, 1 February 2020 (UTC)
:::The superscript 2 is correct because the long term relationship between Terrestrial Time (TT) (a uniform time) and Universal Time (UT) (solar time on an Earth that is slowing down) is a [[parabola]], not a straight line. The relationship is {{nowrap|TT − UT {{=}} ∆T}}. [[F. Richard Stephenson]] has studied this since at least 1984 where I found the length of day (LOD) described as 1.4 ms/day/century since 1600. Thereafter it is no longer mentioned by Stephenson. LOD must be integrated to obtain ∆T. Multiplying 1.4{{nbs}}ms/day/century by 36525{{nbs}}days/Julian century gives 51.1{{nbs}}seconds/century{{sup|2}}. The LOD is a coefficient of ''t'' centuries, which when integrated is {{sfrac|''t''{{sup|2}}|2}}, involving {{frac|1|2}} giving 25.6{{nbs}}s/cy{{sup|2}}. The vertex of the parabola is at about 1825 where the lengthening mean solar day crosses the day of 86,400{{nbs}}SI seconds. This is the midpoint of the many observations (1790–1892) used by [[Simon Newcomb]] to determine the length of his mean solar day (later called the ephemeris day) which he used as the basis of his ''[[Tables of the Sun]]''. Both of the parabola's branches, future and past, are positive upward. In his latest publication, [https://royalsocietypublishing.org/doi/pdf/10.1098/rspa.2016.0404 Stephensen (2016)] gives an updated parabola for the average for 720 BC to AD 2015:
::::∆T = −320.0 + (32.5±0.6)({{sfrac|year−1825|100}}){{sup|2}} s
:::The closest he comes to describing an average after 1600 is a 1500-year oscillation in the LOD:
::::lod(1500) = +1.78''t'' − 4.0sin(2π({{sfrac|''t''|15}})) ms
:::where ''t'' is centuries after 1825. This must be integrated as before, yielding a long period cosine:
::::∆T(1500) = +32.5''t''{{sup|2}} + 0.004({{sfrac|15|2π}})cos(2π({{sfrac|''t''|15}})) s
:::Getting back to leap seconds, evaluate ∆T at 2020 and 1972 and subtract, yielding {{nowrap|124 − 70 {{=}} 54 s}}, the number of leap seconds that should have been added in that period if the Earth had slowed down at the average historical rate between 720 BC and AD 2015. These figures ignore the vertex of −320, but the result is the same, 54{{nbs}}s. LOD can be integrated between the same limits, 1.95 cy and 1.47 cy, yielding the same results. These results imply that Earth has recently slowed down less than its historical average because the actual number of leap seconds is only half what the historical average predicts. — [[User:Joe Kress|Joe Kress]] ([[User talk:Joe Kress|talk]]) 04:42, 1 February 2020 (UTC)
::::I got that the rate of lenghtening has been changing, but it has also been close to 60 years since I took calculus (which was not my best subject). So, would it be appropriate for the article to say, {{green|"The rate at which the length of the day increases varies. Consideration of the interaction between the Earth and the Moon predicts a rate for the lengthening of the day of 42 seconds per centruy. Over the last two millenia, the rate at which the length of the day has increased has been slower, an average of 31 seconds per century, and in the last four centuries, 25.6 seconds per century."}}? - [[User talk:Donald Albury|Donald Albury]] 12:31, 1 February 2020 (UTC)
:::::No. All figures needs a superscript 2. The first, 42 seconds per century{{sup|2}}, is the major portion of the lengthening day due to tidal friction of the Moon on Earth. The second figure, 31 seconds per century{{sup|2}} is an old figure which must be changed to Stephenson's latest figure of 32.5 seconds per century{{sup|2}}. This figure includes both tidal friction (slowing down) and glacial uplift (speeding up). The last figure, 25.6 seconds per century{{sup|2}}, is also old and must not be used. Changing the figures now in the article to 32.5 seconds per century{{sup|2}} is challenging. All figures need a superscript 2 because they are all coefficients of the parabola's ''t''{{sup|2}}, so its dimension of "century{{sup|2}}" must be cancelled by a "per century{{sup|2}}" in its coefficient. — [[User:Joe Kress|Joe Kress]] ([[User talk:Joe Kress|talk]]) 17:20, 1 February 2020 (UTC)
:::::I found Stephenson's latest [http://astro.ukho.gov.uk/nao/lvm/TWj18.pdf cubic splines] in the electronic supplements to his main paper cited above. They are 55 smooth cubic polynomials curve-fitted to his data, forming an undulating ∆T parabola, plus a minor conversion for the equivalent undulating straight-line length-of-day. Each polynomial covers a long period where data is sparse, and they cover a series of short periods (3–5 years each) during the modern period of 1800–2016 where data is abundant. This makes the modern curve quite noisy on century time scales and useless for our purposes. I suspect we may have to include Stephenson's old post-1600 25.6 seconds per century{{sup|2}} estimate alongside his historical (−720 to 2016) 32.5 seconds per century{{sup|2}}, as well as the tidal-friction 42 seconds per century{{sup|2}} for explanation. I also don't trust my integration of the 1500-year sinusoid so it is out for now. — [[User:Joe Kress|Joe Kress]] ([[User talk:Joe Kress|talk]]) 20:44, 2 February 2020 (UTC)
::::::No, 25.6 s/century^2 isn't the change in the length of day, it's the coefficient of the quadratic term in the approximation of ∆T (Delta T), which is a different quantity. The sentence as is indicates that over the past few centuries, the day has lengthened by an average of 1.4 ms each century, which is essentially correct and matches with the source. Remember also that a change in the length of day of 1.4 ms would mean that each century would be longer by 36525 * 0.014 or about 51.2 seconds (half of this gives the coefficient described above for the integration). [[User:Arcorann|Arcorann]] ([[User talk:Arcorann|talk]]) 11:32, 5 February 2020 (UTC)
 
== Negative vs Positive Leap Second ==
Shouldn't this be called a leap day? Like... a leap year has an extra day, a leap day has an extra second? :-P --[[Special:Contributions/67.172.99.160|67.172.99.160]] 23:51, 5 August 2005 (UTC)
 
Ladies, Gentlemen,
:Interesting question. Unfortunately, "leap day" is already the name for the extra day in a leap year. There was no doubt some discussion in the years leading up to their adoption in 1972 concerning what to call them. We only know the result of the discussion&mdash;the ITU decided that they will be called leap seconds. &mdash; [[User:Joe Kress|Joe Kress]] 03:31, 6 August 2005 (UTC)
 
Please let me tell you that according to IERS/EOC [https://hpiers.obspm.fr/eop-pc/products/combined/C04plot.php?date=3&dimx=1200&dimy=900&graphe=3&year1=2017&month1=1&day1=1&year2=2021&month2=12&day2=31&langue=1&SUBMIT=Submit+request plot], <del>from early June</del> <ins>since May 2020</ins>, UT1-UTC increases. Under this condition negative leap second at the end of <del>2023</del> <ins>the decade</ins> should be expected. <ins>Anyway, today, negative leap second is more probale than positive one.</ins> Then I propose some reference in the article.
== Removed incorrect information ==
 
With regards and friendship, Georges Theodosiou, The Straw Man [[User:Georges T.|Georges T.]] ([[User talk:Georges T.|talk]]) 14:04, 16 September 2021 (UTC) 14:20, 18 September 2021 (UTC) 13:53, 21 September 2021 (UTC)
''The reason we need leap seconds is that the rotation of the Earth is slowing down. The [[solar day]] does gradually become longer by about 1.7 ms every century, mainly due to [[tidal acceleration]] from the [[Moon]]. The SI second that is counted by atomic time standards has been defined in such a way that its length did match the nominal second of 1/86400 of a mean solar day some time during the 19th century. Since that time the length of the solar day has been slowly increasing. Therefore the time as measured by the rotation of the Earth has been accumulating a delay with respect to atomic time standards. Whenever the accumulated delay approaches one second, a leap second is added to [[UTC]].''
 
:Right now, that interpretation (though reasonable) is [[wp:Original research]] for as long as it is you who is drawing that inference. We have to wait until a seriously reliable source says so: a scientific journal not a newspaper. My own guess is that there will be very strong political pressure to avoid doing it, because of the chaos it will cause in a wide variety of systems because it will mean that events that are actually a second apart will be recorded as having occurred simultaneously. --[[User:John Maynard Friedman|John Maynard Friedman]] ([[User talk:John Maynard Friedman|talk]]) 14:59, 16 September 2021 (UTC)
This misconception weas contradicted in the paragraph that followed it. [[User:Ben Arnold|Ben Arnold]] 07:05, 8 August 2005 (UTC)
 
::Mr. John Maynard Friedman, please let me express you many thanks for you commented my proposal. Also, please feel free to delete this section. With regards and friendship, Georges Theodosiou, The Straw Man, [[User:Georges T.|Georges T.]] ([[User talk:Georges T.|talk]]) 13:21, 17 September 2021 (UTC)
:The paragraph you removed is completely correct. So is the paragraph which follows it in its own way. What seems to be missing is an obvious linkage between the apparently slow rate at which Earth is slowing down (milliseconds per day per century) and the apparently much more rapid rate at which leap seconds are added (many seconds per century). That is immediately achieved by restating the rate at which Earth's rotation is slowing down, 1.7 milliseconds/day/century (actually 1.7 ms/(d·cy)), in square centuries. To do this we multiply by the number of days in a century, which is 36525 days per Julian century (to two significant digits, it does not matter what kind of century is used, but astronomical equations are always stated in terms of Julian centuries, never in terms of Gregorian centuries or mean tropical centuries). That yields a rate of 62 seconds/century&sup2;, which is obviously the proper magnitude to yield many leap seconds per century. But the actual mathematical equations should be given, which requires integration. I am composing a rewrite. &mdash; [[User:Joe Kress|Joe Kress]] 17:40, 8 August 2005 (UTC)
 
::Mr. John Maynard Friedman, please let me tell you that now, after my edits in title and in my first message, it is Mr. John Sauter's Original Research. Just my latest research agrees with his. [[User:Georges T.|Georges T.]] ([[User talk:Georges T.|talk]]) 12:21, 18 September 2021 (UTC)
 
:::I think a more likely date for the negative leap second is around the end of this decade. I also predict that there will be no serious effort to abolish leap seconds, in spite of the chaos that will be caused by poorly-written software, until three or four months before it happens. My evidence is the similar problem with the year 2000: in spite of the fact that everyone saw it coming, some were unprepared, and there were some glitches due to software that couldn't handle it. My hope is that there are some people who remember the year 2000 and will devote some effort between now and then to testing and fixing the important software. [[User:John Sauter|John Sauter]] ([[User talk:John Sauter|talk]]) 14:19, 17 September 2021 (UTC)
Actually, it is ''not'' correct that the reason we need leap seconds is because the Earth is slowing down. We need leap seconds because the SI (atomic) second is not exactly 1/86400 of a mean solar day. Even if the Earth's speed could be locked today, and never changed again, leap seconds would still be needed at about the same rate we're used to. It's the difference in the two units, not the rate of change that matters.
::::It is not just an issue of software: for seriously time-stamp critical applications, there is no obvious workaround. Well not that I can see anyway but greater minds that mine may find a way. So my guess is that nothing will be done: world-wide consensus will be wait and see if it rights itself over a 25 year horizon and just ignore these short term perturbations. In almost all contexts, atomic time is preferable anyway: until the deviation exceeds say five minutes, hardly anyone will notice the difference from solar time. Maybe there will be a "UTx" for solar time but it won't be adopted as civil time anywhere. --[[User:John Maynard Friedman|John Maynard Friedman]] ([[User talk:John Maynard Friedman|talk]]) 15:06, 17 September 2021 (UTC)
:::::Serious time-stamp critical applications should be written to work in the presence of positive and negative leap seconds. In today's world, everything is software, and the software can be written correctly. It isn't actually hard to do, it just takes the will to do it. [[User:John Sauter|John Sauter]] ([[User talk:John Sauter|talk]]) 02:49, 18 September 2021 (UTC)
::::::Mr. John Sauter, please let me tell you that since negative leap second has never been introduced, it is terra incognita for the engineers, <ins>as in programming "undefined behavior" and "unexpected results" should always be expected</ins>. That's the problem. [[User:Georges T.|Georges T.]] ([[User talk:Georges T.|talk]]) 12:21, 18 September 2021 (UTC) 13:53, 21 September 2021 (UTC)
:::::According to [https://www.ucolick.org/~sla/leapsecs/ "Future of Leap Seconds"] website, there are potential legal issues that would occur in countries like USA, Great Britain, and Canada, that still regard GMT (i.e. UT1) as legal time. For example, an accident recorded on camera, occurring seconds from midnight, may or may not be subject to insurance payout if insurance expires on that midnight. So I would say there are definitely potential issues, and they are not necessarily related to software only. [[User:Morycm|Morycm]] ([[User talk:Morycm|talk]]) 00:22, 1 March 2024 (UTC)
 
Mr. John Sauter, please let me express you my many thanks for you commented my proposal. Regarding situation in 2000 I post this [https://hpiers.obspm.fr/eop-pc/products/combined/C04plot.php?date=2&dimx=1200&dimy=800&graphe=3&year1=1998&month1=1&day1=1&year2=2006&month2=12&day2=31&langue=1&SUBMIT=Submit+request plot]. It is clear that there was not any increase similar to that since June 2021. By the way, let me suggest you and every interested [https://hpiers.obspm.fr/eop-pc/index.php?index=C04&lang=en this] IERS/EOC page for retrieving data and plots. My way for predictions under aforementioned condition is that in 2 months (June 17 to August 17) increase was 44 msec that is 22 per month. With regards and friendship, Georges Theodosiou, The Straw Man [[User:Georges T.|Georges T.]] ([[User talk:Georges T.|talk]]) 14:52, 17 September 2021 (UTC)
Besides, it's not really that we "need" them, so much as that we have decided to use them. When [[UTC]] was established in 1972, harmonizing the definition of the civil second and the atomic second, we chose to adjust for the inevitable differences between the rock-solid UTC and the highly variable UT1 (earth rotation time) in one-second jumps.
 
:The Earth generally speeds up during Northern Hemisphere Summer but slows down in Winter, so projecting using just Summer data will give you too early a date for the negative leap second. My reference to the year 2000 was to software and hardware which assumed that the first two digits of the year would always be 19. [[User:John Sauter|John Sauter]] ([[User talk:John Sauter|talk]]) 02:43, 18 September 2021 (UTC)
Prior to that, the adjustments were still being done, but it was done as a fractional disseminated-frequency offset from the atomic time definition. That is, an adjustment trim was applied to the disseminated GMT time and frequency standards in order to keep them in fairly close agreement to actual earth-rotation time.
::(As in the [[year 2000 problem]].) [[User:Guy Harris|Guy Harris]] ([[User talk:Guy Harris|talk]]) 08:53, 18 September 2021 (UTC)
 
:::Mr. John Sauter, please let me agree on that "The Earth generally speeds up during Northern Hemisphere Summer but slows down in Winter, so projecting using just Summer data will give you too early a date for the negative leap second". Whoever as it seen in this [https://hpiers.obspm.fr/eop-pc/products/combined/C04plot.php?date=3&dimx=1200&dimy=900&graphe=3&year1=2017&month1=1&day1=1&year2=2021&month2=12&day2=31&langue=1&SUBMIT=Submit+request plot], UT1-UTC bottomed on May 2020. Since then it rises in mean terms. Its rising ratio is about 70 msec per year. Under this condition you are right on that "a more likely date for the negative leap second is around the end of this decade", <ins>my estimation is the end of <del>2033</del> 2032, indeed if ITU fail solve the problem till then.</ins> With regards and friendship, Georges Theodosiou, The Straw Man, [[User:Georges T.|Georges T.]] ([[User talk:Georges T.|talk]]) 09:28, 18 September 2021 (UTC) 07:51, 27 September 2021 (UTC) 07:43, 8 October 2021 (UTC)
Then, by '72, it was decided to scrap GMT, and quit trying to keep adjusting it for minor earth-rotation variations. UTC was established, the disseminated frequency offset was set to zero, and, since then, civil and atomic clocks have ticked in sync. Standards organizations stopped trying to adjust the time scales, and let them drift apart, but published the predicted and measured differences between UTC and UT1, for those interests that required earth-rotation time to a precision of less than one second. Only when the differences threatened to accumulate to more than 700 ms would an ajustment to UTC be scheduled. These are the familiar leap seconds, scheduled (or waived) six months in advance for 23:59:60 UTC on the last day of June or December. --[[User:Jeepien|Jeepien]] 05:03:27, 2005-08-09 (UTC)
 
{{re|Georges T.}} For future reference, please do not edit your comments on a talk page the way you did above after other users have replied to those comments. Any edits you make to your comments after discussion has started should be accomplished by striking out (using <nowiki><del>...</del></nowiki>) the words you want to replace and inserting (using <nowiki><ins>...</ins></nowiki>) the words you want to substitute in. See [[:WP:TALK#REVISE]] for details. - [[User talk:Donald Albury|Donald Albury]] 13:40, 18 September 2021 (UTC)
:If we do not explain that the Earth is actually slowing down, then it appears as if the SI second was set at the wrong value to stay in sync with mean solar time. So it would appear as if we would forever be fudging our clocks with leap seconds because of an initial mistake; it would be then more sensible to re-define the SI second. However, this is is not feasible because the Earth WILL be getting out of sync with the SI second because it is actually slowing down irregularly. So this information is totally relevant when explaining why we have leap seconds. -- [[User:Tom Peters|Tom Peters]] 10 August 11:20 UTC
:Mr. Donald Albury, please let me express you my sincere gratitude for your suggestion. With regards and friendship, Georges Theodosiou, The Straw Man, [[User:Georges T.|Georges T.]] ([[User talk:Georges T.|talk]]) 14:26, 18 September 2021 (UTC)
 
Ladies, Gentlemen, please let me report you (IERS snob my messages) something strange. Despite their name (International EARTH ROTATION Service), they do <del>not</del> (<ins>actually they do as Δω<sub>3</sub>, I apologize</ins>) publish in their proper [https://hpiers.obspm.fr/eop-pc/index.php?index=C04&lang=en page] data and plots for EARTH ROTATION speed (omega). Though omega is UT1's independent variable according to Newcomb's formula (omega replaces sidereal time), UT1-UTC depends on two speeds: omega and cesium atom's oscillation. <ins>It follows, monitoring UT1-UTC (or UT1-TAI) we do not monitor omega.</ins> With regards and friendship, Georges Theodosiou, The Straw Man [[User:Georges T.|Georges T.]] ([[User talk:Georges T.|talk]]) 07:25, 29 September 2021 (UTC) 09:50, 27 April 2022 (UTC)
== The Earth is... umm... speeding up. ==
 
=== Keeping an eye on Earth's Omega ===
All of this discussion about how the earth is slowing down ignores one inconvenient fact. The earth is, at present, ''not'' slowing down. It is, in fact, speeding up, and has been doing so since 1972, coincidentally just around the time that UTC was introduced.
 
Ladies Gentlemen, please let me tell you that in IERS/EOC <del>data</del> <ins>plots</ins> ([[User:Georges T.|Georges T.]] ([[User talk:Georges T.|talk]]) 10:49, 2 February 2023 (UTC)), [https://hpiers.obspm.fr/eop-pc/products/combined/C04plottest.php?date=2&dimx=1200&dimy=900&tver=1&graphe=55&year1=2020&month1=1&day1=1&year2=2031&month2=12&day2=31&langue=1&SUBMIT=Submit+request Δomega] and [https://hpiers.obspm.fr/eop-pc/products/combined/C04plottest.php?date=2&dimx=1200&dimy=900&tver=1&graphe=5&year1=2020&month1=1&day1=1&year2=2031&month2=12&day2=31&langue=1&SUBMIT=Submit+request ΔLOD] (from [https://hpiers.obspm.fr/eop-pc/index.php?index=C04&lang=en this] page),<ins> also from [https://maia.usno.navy.mil/information/plots IERS/RS-PC] (last plot)</ins> [[User:Georges T.|Georges T.]] ([[User talk:Georges T.|talk]]) 08:28, 28 February 2023 (UTC), supported by Vondrak filter's [https://hpiers.obspm.fr/eop-pc/index.php output] (<ins>indeed by "LOD / 86400 s SI" they mean "LOD - 86400 s SI". They practice "je m'en fous"</ins> [[User:Georges T.|Georges T.]] ([[User talk:Georges T.|talk]]) 13:58, 27 February 2023 (UTC) [[User:Georges T.|Georges T.]] ([[User talk:Georges T.|talk]]) 13:34, 24 March 2023 (UTC) [[User:Georges T.|Georges T.]] ([[User talk:Georges T.|talk]]) 07:35, 27 March 2023 (UTC)) one can see that in late 2022 earth is decelerating making positive leap second more probable than negative. Indeed only God knows how long it will last. With regards and friendship Georges Theodosiou. [[User:Georges T.|Georges T.]] ([[User talk:Georges T.|talk]]) 16:48, 15 December 2022 (UTC)
When the International Atomic Time (TAI) scale was zeroed to civil UT, on 1958-01-01, the mean solar day was about 1.4&nbsp;ms too long (as compared to a standard SI day of 86&nbsp;400&nbsp;s). Over the succeeding 14 years, the equivalent of around 10&nbsp;s of "leap" time was introduced between TAI and UT, but in those days the adjustments didn't "leap". They were done by slightly padding civil time using a flexible frequency offset from TAI, so the adjustment was made continually, on the fly. Furthermore, in those days, the earth actually was slowing down. Over the course of that same 14 years, rotation slowed until it reached more than +3.1&nbsp;<sup>ms</sup>/<sub>day</sub> relative to the SI day.
 
:The Earth's rotation rate is seasonal. It is clear from the charts you referenced that the Earth spins faster during Northern Hemisphere summer.s. To get a useful prediction of the future rate of rotation of the Earth you need to look at a year's worth of data.
On 1972-01-01, when UTC was adopted, and set to 10&nbsp;s offset from TAI exactly, it proceeded to tick at the same rate as TAI, i.e., 1 UTC second = 1 SI second, exactly. Since then, 22 leap seconds have been added, with one planned for 2005-12-31, which will bring the total offset between UTC and TAI to (TAI - UTC) = 33&nbsp;s.
:The IERS has predicted that the Earth's rate of rotation will continue to be slower than one per 86,400 seconds over the next year. My guess, based on projecting the IERS prediction further into the future than one year, is that we will have a negative leap second somewhere around the end of this decade. [[User:John Sauter|John Sauter]] ([[User talk:John Sauter|talk]]) 15:02, 17 December 2022 (UTC)
::Dear Sauter, please accept my thanks for you answered my message. In Vondrak filter's output it's clear that earth is decelerating in second semester 2022. It is supported by Δomega and ΔLOD graphs. In Δomega, zigzag in October-November is clear lower than in same months last year. In ΔLOD is clear higher. Both mean deceleration independent of tidal and seasonal variations, a random, unexpected, deceleration. With regards and friendship, G. Theodosiou The Straw Man. [[User:Georges T.|Georges T.]] ([[User talk:Georges T.|talk]]) 10:07, 20 December 2022 (UTC)
:::Although this trend is clear to you, it is not clear to me, or to the IERS, which continues to predict that over the next year, at least, the length of the day will continue to be less than 86,400 seconds. If you have a mathematical basis for your prediction that the length of the day will increase to over 86,400 seconds enough to cause a positive leap second, perhaps you could present it here. We can then compare your predictions of the length of day with the measured values reported to the IERS. If your predictions turn out to be more accurate than the IERS predictions you will gain credibility. [[User:John Sauter|John Sauter]] ([[User talk:John Sauter|talk]]) 16:34, 20 December 2022 (UTC)
::::Mr. Sauter, please let me tell you that credibility's worth is 0 and < 0. With regards and friendship, G. Theodosiou, The Straw Man, [[User:Georges T.|Georges T.]] ([[User talk:Georges T.|talk]]) 07:08, 28 March 2023 (UTC)
 
:Mr. Sauter, please let me tell you that I predict all <del>of the remaining</del> leap seconds <ins>before 2037</ins> will be positive, based on the periodic metonic fluctuation of [https://hpiers.obspm.fr/eop-pc/products/combined/C04plottest.php?date=2&dimx=1200&dimy=900&graphe=55&year1=1962&month1=1&day1=1&year2=2031&month2=12&day2=31&langue=1&SUBMIT=Submit+request ΔΩ]. With regards and friendship, G. Theodosiou, The Straw Man [[User:Georges T.|Georges T.]] ([[User talk:Georges T.|talk]]) 12:10 5 April 2024 (UTC), [[User:Georges T.|Georges T.]] ([[User talk:Georges T.|talk]]) 13:45, 8 April 2024 (UTC).
'''However, for the last 33 years something else has been going on.''' The day has been getting shorter. For some reason, no doubt related to internal fluid mechanics, the Earth's crust has been accelerating. By the time the last leap second was introduced at the end of 1998, the day length had shrunk back to something like +1.3&nbsp;<sup>ms</sup>/<sub>day</sub>. It is this continued acceleration that accounts for the fact that leap seconds, once a circannual phenomenon, have become relatively rare. This winter's leap second will be the first in seven years.
::Thank you for your definite and clear prediction. It will be interesting to see if you are correct. [[User:John Sauter|John Sauter]] ([[User talk:John Sauter|talk]]) 16:09, 7 April 2024 (UTC)
Ladies, Gentlemen, please let me report you an important error in [https://hpiers.obspm.fr/eop-pc/index.php?index=C04&lang=en IERS]'s UT1-UTC data [https://hpiers.obspm.fr/eop-pc/products/combined/C04plottest.php?date=2&dimx=1200&dimy=900&tver=1&graphe=3&year1=2021&month1=7&day1=1&year2=2031&month2=12&day2=31&langue=1&SUBMIT=Submit+request averaged] for tidal variations ("Remove tidal variations" checked), in respect to [https://hpiers.obspm.fr/eop-pc/products/combined/C04plottest.php?date=2&dimx=1200&dimy=900&graphe=3&year1=2021&month1=7&day1=1&year2=2031&month2=12&day2=31&langue=1&SUBMIT=Submit+request original]. <ins> Compare ΔLOD data, [https://hpiers.obspm.fr/eop-pc/products/combined/C04plottest.php?date=2&dimx=1200&dimy=900&graphe=5&year1=2021&month1=7&day1=1&year2=2031&month2=12&day2=31&langue=1&SUBMIT=Submit+request original] and [https://hpiers.obspm.fr/eop-pc/products/combined/C04plottest.php?date=2&dimx=1200&dimy=900&tver=1&graphe=5&year1=2021&month1=7&day1=1&year2=2031&month2=12&day2=31&langue=1&SUBMIT=Submit+request averaged]. Latter are mean values of the former. [[User:Georges T.|Georges T.]] ([[User talk:Georges T.|talk]]) 12:34, 16 August 2023 (UTC)</ins>. With regards and friendship, G. Theodosiou, The Straw Man [[User:Georges T.|Georges T.]] ([[User talk:Georges T.|talk]]) 07:49, 2 August 2023 (UTC)
 
Ladies, Gentlemen, please let me tell you interesting facts regarding IERS's monitoring of Earth's omega. At IERS/EOC's [https://hpiers.obspm.fr/eop-pc/index.php front page] the plot depicts LOD as having equal value in the middle of the year and a year earlier. In the [https://hpiers.obspm.fr/eop-pc/products/combined/C04plottest.php?date=2&dimx=1200&dimy=900&tver=1&graphe=5&year1=2021&month1=8&day1=1&year2=2031&month2=12&day2=31&langue=1&SUBMIT=Submit+request IERS/EOC] and [https://maia.usno.navy.mil/information/plots IERS/RS-PC] (last plot) charts, the zigzags in the middle of the 2023 and 2022 should be at the same height if it were true, but they are not. On the other hand, if you click on their Vondrak filter chart, a back page appears. It is slightly different from the front one and might be accurate. The curve at midyear is still higher than the curve at midyear 2022. By the way, I should mention that I used a paraphrasing tool this time. Please offer your opinion. With regards and friendship, Georges Theodosiou, The Straw Man, [[User:Georges T.|Georges T.]] ([[User talk:Georges T.|talk]]) 14:30, 1 September 2023 (UTC). <ins>Now, the front and back charts on the IERS/EOC website are identical. Those are IERS/EOC. [[User:Georges T.|Georges T.]] ([[User talk:Georges T.|talk]]) 14:39, 1 September 2023 (UTC)</ins>
During that seven years the acceleration has continued. The difference between a mean solar day and an SI day has now essentially vanished. Over the most recent 48 solar days for which data is available, 22 of them have been ''shorter'' than an SI day! If this acceleration continues much longer, at some point in the future a negative leap-second may be needed.
 
Ladies, Gentlemen, please permit me to point out that there are clearly three metonic cycles (1964–1984, 1984–2004, 2004–2024 ) in [https://hpiers.obspm.fr/eop-pc/products/combined/C04plottest.php?date=2&dimx=1200&dimy=900&graphe=5&year1=1962&month1=1&day1=1&year2=2031&month2=12&day2=31&langue=1&SUBMIT=Submit+request this] and [https://hpiers.obspm.fr/eop-pc/products/combined/C04plottest.php?date=2&dimx=1200&dimy=900&graphe=55&year1=1962&month1=1&day1=1&year2=2031&month2=12&day2=31&langue=1&SUBMIT=Submit+request this] plots. The fact that there is continual acceleration is clearly evident. With regards and friendship, Georges Theodosiou, the Straw Man, [[User:Georges T.|Georges T.]] ([[User talk:Georges T.|talk]]) 13:49, 4 April 2024 (UTC)
So it is not correct to blame leap seconds on tidal deceleration. In the first place, ever since they were introduced, there hasn't been any. Or, more correctly, the small tidal deceleration that exists has been swamped by the much larger short-term earth-rotation variability. And this the rule, rather than the exception. The vertical plate movement responsible for the "Christmas Tsunami" of 2004 added measurably to the angular velocity of the Earth's crust. No doubt other geophysical events will have different effects.
 
:The continual acceleration is not evident to me. It seems more like randomness. Perhaps you can explain so I can understand. [[User:John Sauter|John Sauter]] ([[User talk:John Sauter|talk]]) 11:54, 7 April 2024 (UTC)
Although the current period of acceleration probably can't be maintained for many more years, and while the +1.7&nbsp;<sup>ms</sup>/<sub>cy</sub> tidal effects (which some sources suggest may really be closer to +1.4&nbsp;<sup>ms</sup>/<sub>cy</sub>) will continue to slow the planet over geological time scales, these effects will aways be swallowed up in the "noise" of short-term variations on the order of a human lifespan.
:: Mr. Sauter, please let me express my thanks for you replied my message and more for you stated your view. I agree, it is a long-term random acceleration. With regards and friendship, G. Theodosiou, The Straw Man, [[User:Georges T.|Georges T.]] ([[User talk:Georges T.|talk]]) 13:51, 8 April 2024 (UTC)
--[[User:Jeepien|Jeepien]] 07:19:41, 2005-08-11 (UTC)
 
Let me explain my prognosis, Ladies and Gentlemen, for leap seconds up to 2037. I notice short-term accelerations and decelerations in the earth's Δomega signal, irregularities according to Dr. Bizourd IERS/EOC Directior, randomness according to Dr. Sauter, and noise according to DSP jargon. They are unable to undermine my forecast. In fact, it will be discouraged if a new long-term acceleration appears. With regards and friendship, G. Theodosiou, The Straw Man, [[User:Georges T.|Georges T.]] ([[User talk:Georges T.|talk]]) 09:07, 11 May 2024 (UTC)
:My analysis produces somewhat different results than yours. I used the annual change in &Delta;T, which is TT &minus; UT1, where TT (Terrestrial Time) is TAI + 32.184 s, close to the average time during the nineteenth century, which defines the SI day. For the last three years (2003.0-2005.0) I calculated &Delta;T from various IERS bulletins B (&Delta;T = 32.184 s + (TAI &minus; UTC) &minus; (UT1 &minus; UTC)). I find that &Delta;T increased by 3.3 ms/d for 1898-1919, 1.2 ms/d for 1920-1927, &minus;0.1 ms/d for 1928-1939, 1.2 ms/d for 1940-1964, 2.6 ms/d for 1965-1984, 1.4 ms/d for 1985-1990, 2.1 ms/d for 1991-1998, and 0.6 ms/d for 1999-2005. Near 1972, Earth's rotation rate actually slowed even more than it had before! Only during the last seven years (and during 1928-1939) can it be said to have sped up. Of course, the rates did vary a little within each period and for years at the limits of each period.
 
Ladies, Gentlemen, permit me to briefly describe my current observations regarding Earth's omega. 1) In [https://hpiers.obspm.fr/eop-pc/products/combined/C04plottest.php?date=2&dimx=1200&dimy=900&graphe=55&year1=1962&month1=1&day1=1&year2=2031&month2=12&day2=31&langue=1&SUBMIT=Submit+request this] plot I observe 3 (1963-2023) metonic periods. 2) The increasing slope of Omega's digital signal indicates long-term acceleration. 3) This acceleration is weaker than that of decelerating metonic semi-periods. 4) In the time being decelerating semi-period is active 5) For the most part, it turns negative <ins>causing positive leap seconds (10 January 2025) 6) [https://www.google.com/search?client=firefox-b-d&q=The+year+2035+for+eliminating+leap+seconds+was+chosen+considering+Russia%27s+request+to+extend+the+timeline+to+2040%2C+ The year 2035 for eliminating leap seconds was chosen considering Russia's request to extend the timeline to 2040]. The next peak of the metonic period will occur in 2040. Russia's request will undoubtedly require a negative leap second before the end of the next decade if the ITU grants it (17 January 2025)</ins>. With regards and friendship, Georges Theodosiou, the Straw Man, [[User:Georges T.|Georges T.]] ([[User talk:Georges T.|talk]]) 16:05, 9 January 2025 (UTC)
:Although the SI second and day is usually stated to be based on and hence defined as the average day between 1750 and 1890, the average day for the period 1686-1823 was the SI day (with a change in &Delta;T of less than 0.01 ms/d), &Delta;T changed by &minus;0.5 ms/d for 1824-1834, 0.1 ms/d for 1835-1861, &minus;0.5 ms/d for 1862-1866, &minus;1.0 ms/d for 1867-1874, and &minus;0.1 ms/d for 1875-1897; or an average change of &minus;0.08 ms/d for the entire period of 1686-1897 (over two centuries). Of course, the long term (over 2700 years) lengthening of the mean solar day is about (1.7 ms/d/cy)T, which produces a parabolic &Delta;T of about (31 s/cy&sup2;)T&sup2;, so the mean solar day was actually lengthening slightly during the base period. What source places the rate closer to 1.4 ms/d/cy? &mdash; [[User:Joe Kress|Joe Kress]] 18:23, August 12, 2005 (UTC)
 
===A useful page of links to the future of leap seconds===
::I don't dispute your figures, but I think if you look at the numbers graphically, it will leap out at you. [http://www.ucolick.org/~sla/leapsecs/lod.png Here]'s a graph of excess length of day (LOD) from around 1720 until 2003. Positive slopes correspond to periods of deceleration, negative slopes to acceleration. The values are measured directly in ms, and correspond to the difference between the observed day length and a standard (86 400 s) SI day.
 
*{{cite web |first=Steve |last=Allen | publisher = University of California Observatories, Lick | title= UTC might be redefined without Leap Seconds |url=https://www.ucolick.org/~sla/leapsecs/}}
::As you can see, the peak near 1972 is the highest (i.e., slowest) in a lifetime, and since then, but for backsliding during the 1990s, the general trend has been downward (faster). If the last two years were shown, a smoothed average would be very close to zero.
 
The interesting question is whether the question will be left to the astronomers to decide. <s>IMHO (as already noted above), the prospect negative leap seconds (where an event at 23:59:59.9 is ''followed 200ms '''later''''' by an event at 23:59:59.1) will be met by a "chorus of disapproval", to put it mildly.</s> --16:58, 19 September 2021 (UTC)
::As long as the LOD difference hovers around 0, leap seconds are rare, and if it manages to drop below zero for any length of time, ''negative'' leap seconds will be required. Nobody is predicting that it will, but then again, nobody is clear on what's causing this current period of acceleration, either. --[[User:Jeepien|Jeepien]] 00:00:35, 2005-08-13 (UTC)
::That isn't the way a leap second works. Rather, 23:59:58.9 is followed 200 milliseconds later by 00:00:00.1 of the next day. [[User:John Sauter|John Sauter]] ([[User talk:John Sauter|talk]]) 05:00, 20 September 2021 (UTC)
:::Whoops of course it is. I really did not have my brain in gear when I wrote that. Scrubbed. --[[User:John Maynard Friedman|John Maynard Friedman]] ([[User talk:John Maynard Friedman|talk]]) 08:15, 20 September 2021 (UTC)
::BTW, 23:59:59 UT is 15:59:59 in California and 07:59:59 in Beijing. So maybe nobody would be too bothered in London at midnight New Year's Eve but others certainly would. --[[User:John Maynard Friedman|John Maynard Friedman]] ([[User talk:John Maynard Friedman|talk]]) 19:17, 19 September 2021 (UTC)
:and of those, this one is the most relevant to the discussion above{{snd}}though it makes no mention of negative leap seconds{{snd}} is this one:
:*{{cite web |first=Steve |last=Allen | publisher = University of California Observatories, Lick | title= Issues involved in computer time stamps and leap seconds |url=https://www.ucolick.org/~sla/leapsecs/picktwo.html}}
:Food for thought! --[[User:John Maynard Friedman|John Maynard Friedman]] ([[User talk:John Maynard Friedman|talk]]) 19:17, 19 September 2021 (UTC)
 
== Eric Kvaalen proposal: WP:COI vio ==
== Proposed change ==
 
I deleted this edit by {{u|Eric Kvaalen}} because of [[WP:COI]] violation:
''I am proposing replacing the entire section on '''''Reasons for leap seconds''''' with the following. Note that this would remove the reference to Creationists. I don't understand what that issue is supposed to be, and it wouldn't belong here anyway. Sure the earth was going faster in the past, so what? Any comments on the following text would be appreciated.''
{{quote|
--[[User:Jeepien|Jeepien]] 21:35:17, 2005-08-11 (UTC)
Another suggestion that has been made is to redefine the second, or rather, to intorduce a "civil second" slightly longer than the [[SI second]] so that there would be {{val|86400}} civil seconds in a mean [[solar day]]. This civil second would be redefined every few decades as the rotation of the earth continues to slow down.<ref>{{cite journal |last1=Eric Kvaalen |title=Should we hive off civil time? |journal=New Scientist |date=Sep 9, 2015 |url=https://www.newscientist.com/letter/mg22730382-700-should-we-hive-off-civil-time/}} and {{cite journal |last1=Richard Keyworth |title=Could we redefine the second to fit? |journal=New Scientist |date=Aug 12, 2015 |url=https://www.newscientist.com/letter/mg22730340-600-could-we-redefine-the-second-to-fit/}}</ref>
}}
Of course someone else is entirely free to reinstate it if they consider it suitable for inclusion. (I'm not saying that it is or that it is not, only that Eric can't be the one to add it.) [[User:John Maynard Friedman|𝕁𝕄𝔽]] ([[User talk:John Maynard Friedman|talk]]) 15:04, 18 November 2022 (UTC)
 
:Notice that I referenced something that was published in ''[[New Scientist]]'' -- they decided that it was worth publishing, not I. And it's not against the rules to put in a reference to what you have gotten published. I also referenced a letter to ''New Scientist'' by someone else. [[User:Eric Kvaalen|Eric Kvaalen]] ([[User talk:Eric Kvaalen|talk]]) 10:44, 19 November 2022 (UTC)
::It's true that citations to published works may be added by the author who is also a Wikipedia editor (unless the motivation seems to be to sell more copies of the publication, which is not the case here). [[WP:IRS|The "Reliable sources"]] guideline does not specifically mention letters to the editor as being reliable or unreliable, but comments in the talk page archives generally take an unfavorable view of the reliability of such letters. [[User:Jc3s5h|Jc3s5h]] ([[User talk:Jc3s5h|talk]]) 13:06, 19 November 2022 (UTC)
:::[[WP:RSEDITORIAL]] does say about letters to the editor: {{tq|[They] are reliable primary sources for statements attributed to that editor or author, but are rarely reliable for statements of fact}}. [[User:Vpab15|Vpab15]] ([[User talk:Vpab15|talk]]) 19:33, 19 November 2022 (UTC)
:::My apologies, Eric. I should have checked [[WP:COI]] first and Jc3s5h is correct. The relevant policy is [[WP:SELFCITE]]. I have reinstated your text and your own NS citation, but not the letter. --[[User:John Maynard Friedman|𝕁𝕄𝔽]] ([[User talk:John Maynard Friedman|talk]]) 21:18, 19 November 2022 (UTC)
::::Turns out that I was right the first time, but for the wrong reason. I failed to spot that ''both'' citations were letters. So it has gone again. --[[User:John Maynard Friedman|𝕁𝕄𝔽]] ([[User talk:John Maynard Friedman|talk]]) 23:53, 19 November 2022 (UTC)
{{reflist-talk}}
 
----
For most of history, the measurement of time has been an exercise in astronomy. Traditionally, the second was defined as 1/86400 of the length of a [[Solar time | mean solar day]]. Units of time depended on the Earth's speed of rotation on its axis and the properties of its orbit around the Sun. For any ordinary purposes, this was fine but, as clock-making technology improved, the problems with using Earth as the standard timepiece became more evident. With the invention of the [[quartz clock]] in the 1930s, the best available timepieces were becoming increasingly stable. The length of a solar day, even when averaged over a year, proved to be anything but. Factors such as winds, ocean currents, [[plate tectonics]], glacial melting, and fluid currents within the Earth's interior all combine to add a complex set of wobbles to the Earth's rotation, speeding it up or slowing it down slightly in unpredictable ways, often for decades at a time. Over the long term, however, the Earth is slowing down. The [[tidal acceleration | tidal effects]] of gravity between the Earth and the Moon cause the mean solar day to get longer by approximately 0.0017 seconds each century, on average. Compared to the short-term speed fluctuations, this is a small effect, but it is constant and inexorable, and will become more significant over time. All of these factors make the Earth a sub-standard timepiece.
 
::::Of course letters to the editor are not reliable sources for facts. But that's not how I used them. What I said in my edit was that this idea has been suggested, and '''''that''''' fact is proved by the existence of the two letters. I suspect that the idea has been suggested by other people, but I don't have a reference for that. New Scientist is, I think, the most read popular science magazine, so the fact that something has been published by them means that it has had wide exposure. [[User:Eric Kvaalen|Eric Kvaalen]] ([[User talk:Eric Kvaalen|talk]]) 04:49, 20 November 2022 (UTC)
Whenever the tools of measurement become more precise than the standard of measurement, a new standard is needed. With the development of the [[Atomic clock | caesium atomic clock]] in 1955, an extremely precise and stable time scale became available. On [[1958-01-01]] the [[International Atomic Time]] (TAI) scale was defined, and set to match the civil time scale on that date. At first, TAI was used primarily by scientists, but proved itself to be a superior tool for all timekeeping. In 1967, this new definition of the second, based upon the vibrations of caesium atoms, was adopted as the official [[SI]] unit of time. Planning was begun to change the civil time scales around the world from the old astronomical standard (commonly called [[Greenwich mean time | GMT]]), to the atomic standard. The switch was officially made on 1972-01-01. However, TAI could not be used directly; since 1958, mean solar time, which was still tracking the wobbly Earth, had drifted about 10 seconds "slow" with respect to TAI. A new scale, [[Universal Coordinated Time]] (UTC) was created, and simply set equal to TAI&nbsp;-&nbsp;10&nbsp;s. The two scales would thereafter remain locked at the same rate. Still, it was clear that more adjustments would be needed to keep UTC and mean solar time from drifting apart again. It was decided that future adjustments would be made in precise one-second steps. These steps, called '''leap seconds''', allow the time and duration of each second to remain locked to the atomic standard, while making sure that the average time that the Sun crosses the Greenwich meridian is still noon, give or take 0.9&nbsp;s. No such adjustments are ever made to TAI.
:::::I don't think published suggestions are noteworthy enough to include in the article unless the suggestion is published in a more prominent way that a letter to the editor. For example, [https://www.bipm.org/documents/20126/64811223/Resolutions-2022.pdf/281f3160-fc56-3e63-dbf7-77b76500990f?version=1.2&t=1668786143360&download=true the CGPM resolutions from 2022] include the statement "encourages the BIPM to work with relevant organizations to identify the need for updates in the different services that disseminate the value of the difference (UT1-UTC) and to ensure the correct understanding and use of the new maximum value." That is the sort of suggestion that would be important enough to include in a Wikipedia article. A way that a suggestion made as a letter to the editor could be worthy of inclusion in an article would be if several scholarly sources commented upon the suggestion. [[User:Jc3s5h|Jc3s5h]] ([[User talk:Jc3s5h|talk]]) 17:55, 20 November 2022 (UTC)
 
==What next?==
Since the inception of UTC, there have been 22 leap second adjustments (see list), all of them "positive", i.e., adding an extra second to UTC as opposed to skipping one. Leap seconds are announced six months in advance, and occur simultaneously around the world during the last minute of June or December, at 23:59:60&nbsp;UTC. In recent decades, the Earth has been in a period of acceleration, so fewer leap seconds have been needed. The one announced for [[2005-12-31]] will be the first in seven years, bringing the difference between TAI and UTC to 33 seconds. That is, UTC-TAI = -33&nbsp;s as of [[2006-01-01]].
The General Conference on Weights and Measures on 18 November 2022 decided to abolish the leap second no later than 2035 ([https://www.nature.com/articles/d41586-022-03783-5 reported by ''Nature'']). [https://www.law.cornell.edu/uscode/text/15/261ou US law recognizes the CGPM] as interpreted by the Secretary of Commerce and Secretary of the Navy as the competent authority to define UTC. But the US is also a member nation of the ITU, and the ITU is responsible for defining how UTC is disseminated. So what steps will we be seeing to actually carry out the CGPM decision?
----
: My comments:
* somewhat too extensive: it is a (brief) account of the history of the second, which should be or already is described in other articles: use links.
**It is, I believe, shorter than what's there now, isn't it? I would also reduce the now-redundant info in the Announcing section, or move the relevant info there.
 
One step that will be needed will be to alter the way [[WWV (radio station)|WWV]] and similar time signals disseminate the difference between UT1 and UTC. Currently this is done by lengthening certain time ticks to indicate the number of deciseconds that should be added to or subtracted from UTC to obtain an estimate of UT1. It is only defined for the range ± 0.9 s.
* tidal deceleration contributes +2.4 ms/cy to the l.o.d.; the number +1.7 is the observed average over the past 25 centuries. The difference is probably mainly due to so-called glacial rebound, which is another long-term process since the end of the ice age; see the article on [[Delta-T]].
Options include changing the format of the signal, eliminating that feature of the broadcast altogether, or shutting down WWV and WWVB altogether, as was proposed during a recent budget fight. [[User:Jc3s5h|Jc3s5h]] ([[User talk:Jc3s5h|talk]]) 13:33, 19 November 2022 (UTC)
**Tidal effects should contribute that much in theory. This has never been observed.
:At the risk of drifting into [[WP:NOTFORUM]], I suggest that the message "by 2035 at the latest, could be earlier" is telling the technical committees to produce a plan to make it happen. For WP purposes, we can only wait and see how they resolve it. --[[User:John Maynard Friedman|𝕁𝕄𝔽]] ([[User talk:John Maynard Friedman|talk]]) 13:42, 19 November 2022 (UTC)
*** Only the total effect of all processes can be observed. The partial contribution of known mechanisms, like the tidal deceleration, can be accurately modeled; I can give you scientific literature references. They are consistent with the OBSERVED acceleration of the Moon. The laws of preservation of energy and angular momentum then allow to compute the effect on the rotation rate on the Earth of the tidal effect by itself. There is a long-term discrepancy of about 0.7 ms/cy with the observed change in rotation rate, which is due to other long-term mechanisms. Models of glacial rebound largely explain this effect. So IMNSHO it is totally OK to mention these facts.
::Trying to avoid [[WP:NOTFORUM]], if we deem the CGPM decision sufficient to assure that the leap second will be abolished, it will change the way we describe leap seconds and UTC in articles. We would have to regard leap seconds as a method of aligning UTC to UT1, used from 1972 until a date to be determined, rather than as a method that will continue indefinitely. And the political reality is that after 2035 UTC might be an offset version of TAI, or might be a variant of Universal Time such that |UTC - UT1| < n, where the value of n has not been decided upon. [[User:Jc3s5h|Jc3s5h]] ([[User talk:Jc3s5h|talk]]) 13:56, 19 November 2022 (UTC)
:::Yet another possibility is that it will not be possible to get all the details worked out by 2035, so leap seconds will continue until they are. [[User:John Sauter|John Sauter]] ([[User talk:John Sauter|talk]]) 15:39, 19 November 2022 (UTC)
::::It seems that ''Nature'' [https://www.nature.com/articles/d41586-022-03783-5 is not convinced] that the decision is final either. --[[User:John Maynard Friedman|𝕁𝕄𝔽]] ([[User talk:John Maynard Friedman|talk]]) 11:14, 21 November 2022 (UTC)
 
== Slower by a negative amount? ==
* Jeepien, on your previous comment: I begin to find the discussion meaningless. The reason that we need leap seconds is that the rotation of the Earth is irregular, but nonetheless for civil life we want to keep in sync with the solar day. There are a zillion mechanisms that influence the rotation rate on all time scales, but the tidal deceleration is the main and most persistent one. I don't understand why you and some others are so opposed to even mentioning it. In any case I object to giving so much attention to recent short-term irregularities.
**I don't recommend leaving it out, and in fact I include it and mention that by its inexorable nature it can't help but be significant in the long term. But the fact remains that short term effects are an order of magnitude more significant than tidal effects in any given century.
*** The rotation rate of the Earth has the statistics of a random walk: sometimes it is accelerating, sometimes it is decelerating. There is a long-term trend, driven by tidal deceleration and probably glacial rebound. Seasonal effects (winds, ocean currents) work both ways but do not exceed a few ms (accumulated). There are some longer-term (decades) mechanisms that can have an accumulated effect that will require leap seconds, but these can work both ways too: redistribution of mass between poles and aequator (ice caps) and exchange of angular momentum between core and mantle.
 
In the History section, shortly after "rubber second": The phrase "slower than the rate of atomic time by −150 parts per 10 (raised to the tenth)" is confusing. Is that dash a "minus sign/negative sign"?
* I did not add the piece about creationists misinterpreting the reason for leap seconds, but apparently this is an issue and if it should be addressed, this is the proper place; possibly under its own sub-heading. I say we keep it.
**This one is a no-brainer. Creationism deserves no mention in any scientific article. If it's an issue, deal with it under Creationism where it belongs. It is certainly not an issue to the community of earth-rotation interests. But I would be grateful to anyone who could explain what that paragraph says. It seems to say that leap seconds should not be confused with amount that the earth has slowed, yet that's exactly what they are.
*** As I explain on the page, the creationists are confusing rate (velocity) with time passed (distance traveled). So they believe that whenever a leap second is counted, that the length of day has increased by 1 second, e.g. that the solar day has increased from 86400 to 86401 seconds. Counting backwards that way, the Earth would have had a ridiculous fast rotation rate in the recent past; which they take as proof that scientific chronology is false and (''non sequitur'') that the biblical short chronology is true. In any case, this distinction apparently is so confusing that it is proper to explain it here, even without creationist discussion. The anonymous anti-creationist tried to explain the difference between rate and time passed with an example, I elaborated on the concepts. If this still appears unclear to you, please try explain yourself. ''Iterum censeo'' that iff there is a vocal party that tells nonsense about the topic (leap seconds) then the page dealing with that topic is the place to refute it.
 
If so: Doesn't ''slower by a negative amount'' mean ''faster''? If "slower" is kept, I suggest removing the negative signs from the various phrases in this section. [[User:David10244|David10244]] ([[User talk:David10244|talk]]) 05:32, 24 January 2023 (UTC)
-- [[User:Tom Peters|Tom Peters]] 20050812T10:15 UT
** --[[User:Jeepien|Jeepien]] 07:58:46, 2005-08-14 (UTC)
*** -- [[User:Tom Peters|Tom Peters]] 20050814T08:43
 
:I have changed "slowed" to "offset", using words from the source, to make the meaning clearer. [[User:John Sauter|John Sauter]] ([[User talk:John Sauter|talk]]) 06:25, 24 January 2023 (UTC)
*It's this kind of thing that shows people just how much credibility we really lack. Why is it necessary to attack the beliefs of creationists in this article? What did the article have to do with the beliefs of creationists in the first place? Also, the page dealing with a particular topic of issue is '''not''' the place to refute it, but rather, that article's corresponding Talk page. In closing, I believe a rewording of all parts of the paragraph, in addition to the removal of any reference to creationists (which separates the wrong and right interpretations of the need for leap seconds, making it that much harder to understand), and possibly merging it with the paragraph immediately following, would make the article easier to understand for most people (including myself).--[[User:JEmfinger|JEmfinger]] 04:49, 23 December 2005 (UTC)
::That sounds better, thanks. [[User:David10244|David10244]] ([[User talk:David10244|talk]]) 05:05, 25 January 2023 (UTC)
 
== LeapLength hoursof predetermined?day ==
 
In the Process section, in the phrase "in 1972 the average length of day was approximately 86400.003 seconds and in 2016 it was approximately 86400.001 seconds, indicating an overall increase in Earth's rotation rate over that time period".
With the proposed leap hour methods, are the leap hours predetermined like leap days and unlike leap seconds? Unless they are, the arguments in favor of leap hours seem completely bogus: you would still need to consult a table for leap hours, and you can still not predict time far into the future (albeit you can on a much larger time frame).
 
It seems like there's a decrease, not an increase, in the rotation rate, since there's a decrease in the "length of day"... if the length of a (rotational) day is measured in "atomic seconds". But I could be reading this wrong -- not sure. [[User:David10244|David10244]] ([[User talk:David10244|talk]]) 05:44, 24 January 2023 (UTC)
* This is of course assuming that the human race hasn't destroyed itself by the time solar time and UTC differ by 3600s. [[User_talk:Gee Eight|Gee Eight]] 22 December 2005 21.12 UTC
 
:I believe you are reading this wrong. Consider a simpler example: a ball spins at a rate of one rotation every 2 seconds. In order to make the ball spin at a rate of one rotation every second (decreasing the rotation time) you must increase the rotation rate. [[User:John Sauter|John Sauter]] ([[User talk:John Sauter|talk]]) 06:29, 24 January 2023 (UTC)
== Leap seconds on 31 December? ==
::Ah, yes, that makes sense. I was backwards on this one. [[User:David10244|David10244]] ([[User talk:David10244|talk]]) 05:06, 25 January 2023 (UTC)
 
==Article date format==
Am I the only one who has noticed that the introduction of a leap second at 23.59'60" UTC on 31 December is a bit unwitting, as that is the moment when quite a lot of people will be counting down official UTC seconds to the new year? Why and how will I, being British and therefore a UTC timezone resident, still be able to count down from 10 at 23.59'50" with Big Ben next Saturday despite the impending 2005 leap second threatening to make me miscount? Can someone ''please'' tell me where my logic has failed (preferably before the 31st) as this is really confusing me! [[User_talk:Gee Eight|Gee Eight]], 22 December 2005 21.01 (unless they've added the leap second early) UTC
I notice the date format in the article is inconsistent, especially in the references. [https://en.wikipedia.org/w/index.php?title=Leap_second&diff=next&oldid=331995180 I found the first edit that introduced dates that contained both the day and the month]. It used the dmy format so I have put the {{tl|use dmy dates}} near the top of the article. I will look for inconsistent dates and fix them. [[User:Jc3s5h|Jc3s5h]] ([[User talk:Jc3s5h|talk]]) 16:11, 13 July 2023 (UTC)
 
*Your logic hasn't failed, but unfortunately, there's no way of getting around this problem as far as I can tell. The only thing I can really advise is that, when there's 10 seconds remaining, start counting down from 11! --[[User:JEmfinger|JEmfinger]] 05:31, 23 December 2005 (UTC)
 
Or they could just start the countdown at 23.59'51". I'll synchronise my watch with UTC later today and see.
(Interesting point: the man responsible for keeping Big Ben on UTC has within the last 36 hours been given an [[Order of the British Empire|MBE]]...is something going on here?) [[User_talk:Gee Eight|Gee Eight]], 31 December 2005 15.12 UTC
 
Or, to be more accurate (as I understand it) with the idea of a repeating second (at least in some timescales), they could countdown "10...9...8...7...6...5...4...3...2...1...1...'Happy New Year!'". Of course, I guess it matters which timescale you're using, and I think UTC inserts a second rather than repeating one, so just adjusting the start time of your countdown would probably be more correct for the typical human-used timescale. OK...this didn't really add much to the discussion, but seemed slightly humorous, so I figured I would add it. [[User:Igjeff|Igjeff]] 16:59, 31 December 2005 (UTC)
 
== i think i spotted a vandal ==
someone who knows the truth check the edit by (17:00, 1 December 2005 70.23.27.61) where he/she changed a single date from 1890 to 1892. The edit is in the sentance: "The SI second that is counted by atomic time standards has been defined in such a way that its length matched the nominal second of 1/86400 of a mean solar day between 1750 and 1892." It is in the "Reason for..." category. There was no reason given why the date was changed in the first place. I've noticed that vandals try to change dates like this because they are hard to spot. [[User:71.131.52.62|71.131.52.62]] 06:28, 26 December 2005 (UTC)
 
:The change is appropriate. 1890 is a rounded version for 1892. [[F. R. Stephenson]], IIRC, used the range 1750-1890 when he selected 1820 as the vertex of his parabolic representation of [[Delta T]], whereas the actual observations used by [[Simon Newcomb]], on which he based his [[Newcomb's Tables of the Sun|tables]], which form the basis of [[Ephemeris Time]], end in 1892, not 1890. — [[User:Joe Kress|Joe Kress]] 07:54, 26 December 2005 (UTC)
 
== Spelling errors==
Corrected spelling errors in article. ([[User:WETaylor|IchBin]] 05:46, 1 January 2006 (UTC))
 
== BTW, did you notice... ==
 
That [[ISO 8601|2005-12-31 T 23:59:60 Z]] was the first leap second observed since the founding of Wikipedia? -- <span style="border: 2px solid #ba0000;">&nbsp;[[User:Denelson83|Denelson]][[User talk:Denelson83|'''83''']]&nbsp;</span> 08:21, 1 January 2006 (UTC)
 
 
== Example ==
''After exactly 500 rotations, your counter will register 43,200,001 seconds. Since 86400 × 500 is 43,200,000 seconds, you will calculate that the date is 12:00:01AM on May 16, 1971 (exactly 500 days after January 1, 1970) as measured in atomic time (UTC), while it is only 12:00:00AM on May 16, 1971 in solar time (UT1). If you had added a leap second on December 31, 1970 to your counter, then the counter would have a value of 43,200,001 seconds at midnight on May 16, 1971 and allow you to calculate the correct date. The actual system involving leap seconds was set up to allow TAI and UT1 to have an offset of 0 seconds on January 1, 1958.''
 
This is exceedingly confusing. Could someone who understands it please reword it? It says that your counter will read '''43,200,001 on May 16''', but if you add a leap second, then you get '''43,200,001 on May 16''' and can calculate the actual date. The impression that that sentence gives is that you'll get 43,200,002 on your counter, and then you just have to fudge everything up to get the real date. Obviously this wasn't the intent of the writer... [[User:Fireworks|FireWorks]] 21:40, 1 January 2006 (UTC)
 
== crazy approach ==
 
i'm just a guy who likes math, and knows nothing about leap second. what i do know is that the problem happens because there's one count of the time from Earth's [[translation]] movement and another one counting [[atom]]s. so that makes a difference of 1 second almost every 6 months between them.
 
as long as we are made of atoms, and we are moving around the [[Sun]], i think a better approach would possibily measure another kind of frequency. once again, i'm no expert in those measurements details, but i do know that, logically, it makes more sense for us, as humans, measure frequencies closer to us, and that could potentially avoid any kind of "leap", not only in 6 months, but even in centuries.
 
my suggestion would be looking for something around [[carbon 12]]. either [[diamond]]s or maybe plain old [[coal]]. maybe, just maybe, a carbohidrate. the simpliest the better. now, that may sound pretty stupid for most specialists, but try to get the big picture. why did we started to use any of the ways we do today? because it was experienced they're stable at our home, some parts of earth's surface. it's already proved even that's untrue, on [[time dilation]]. so, why bother trying to find something that's whatever [[ns]] more precise? better if we can find a way to precisely measure things that walk in time in same "speed" than we do. that way it will keep changing over time, but it will be same than human.
 
maybe measuring the eletrons moving in water molecule. maybe measuring light (or photons) going across a carbohidrate. i'm really not sure which methods could be used, but i'm sure it's not impossible to find a one, and i believe it would be the more appropriate the closer it gets to our form of life.
 
--[[user:caue.cm.rego|Caue]] ([[user talk:caue.cm.rego|T]] | [[special:contributions/caue.cm.rego|C]]) [[image:qullasuyu_wiphala.svg|15px|]] 13:36, Thursday [[March 30]] [[2006]] ([[UTC]])
{{user:caue.cm.rego/message}}
 
== merge with Coordinated Universal Time ==
 
Leap seconds are solely a feature of UTC, and UTC cannot be defined without discussion of leap seconds. They form a single topic, so it is silly for them to have separate articles. [[User:81.168.80.170|81.168.80.170]] 12:10, 29 April 2006 (UTC)