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So the net acceleration ( actually a deceleration ) of the rotation of the Earth, or the change in the length of the mean solar day ( LOD ), is + 1. 7 ms / day / cy.
Integrating + 1. 7 ms / d / cy and centering the resulting parabola on the year 1820 yields ( to a first approximation ) 31 ×(( Year − 1820 )/ 100 )< sup > 2 </ sup > seconds for ΔT.
The long-term error of the formula is approximately: 1 cy < sup > 2 </ sup > seconds in TT, and 11 cy < sup > 2 </ sup > seconds in UT ( cy is centuries since 2000 ; see section Explanation of the formulae for details.
The error in the position of the Moon itself is only maybe 0. 5 "/ cy < sup > 2 </ sup >, or ( because the apparent mean angular velocity of the Moon is about 0. 5 "/ s ), 1 s / cy < sup > 2 </ sup > in the time of conjunction with the Sun.
Afrikaans ( af ), Akan ( ak ), Albanian ( sq ), Arabic ( ar ), Armenian ( hy ), Assamese ( as ), Asturian ( ast ), Basque ( eu ), Belarusian ( be ), Bengali ( India and Bangladesh ) ( bn ), Bosnian ( bs ), Breton ( br ), Bulgarian ( bg ), Catalan ( ca ), Chinese ( Simplified and Traditional ) ( zh ), Croatian ( hr ), Czech ( cs ), Danish ( da ), Dutch ( nl ), English ( Britain, South Africa, and US ) ( en ), Esperanto ( eo ), Estonian ( et ), Finnish ( fi ), Fula ( ff ), French ( fr ), Frisian ( fy ), Friulian ( fur ) < sup id =" fn_1_back "> 1 </ sup >, Gaelic ( gd ), Galician ( gl ), Georgian ( ka ), German ( de ), Greek ( el ), Gujarati ( gu ), Hebrew ( he ), Hindi ( hi ), Hungarian ( hu ), Icelandic ( is ), Indonesian ( id ), Irish ( ga ), Italian ( it ), Japanese ( ja ), Kannada ( kn ), Kashubian ( csb ), Khmer ( km ), Kazakh ( kk ), Korean ( ko ), Kurdish ( ku ), Latvian ( lv ), Ligurian ( lig ), Lithuanian ( lt ), Luganda ( lg ), Macedonian ( mk ), Maithili ( mai ), Malayalam ( ml ), Marathi ( mr ), Northern Sotho ( nso ), Mongolian ( mn ) < sup id =" fn_2_back "> 2 </ sup >, Norwegian ( Bokmål ) ( no ), Norwegian ( Nynorsk ) ( nn ), Occitan ( oc ), Oriya ( or ), Persian ( fa ), Polish ( pl ), Portuguese ( Brazil and Portugal ) ( pt ), Punjabi ( pa ), Romanian ( ro ), Romansh ( rm ), Russian ( ru ), Serbian ( sr ), Sinhala ( si ), Slovak ( sk ), Slovenian ( sl ), Songhai ( son ), Spanish ( Argentina, Chile, Mexico, and Spain ) ( es ), Swedish ( sv ), Tamil ( ta ), Tamil ( Sri Lanka ) ( ta ), Tatar ( tt ) < sup id =" fn_1_back "> 1 </ sup >, Telugu ( te ), Thai ( th ), Turkish ( tr ), Ukrainian ( uk ), Vietnamese ( vi ), Welsh ( cy ), Zulu ( zu )
4.627 seconds.