The Rotation of the Earth, and the Secular Accelerations of the Sun, Moon and Planets

Jones, Harold Spencer

doi:10.1093/mnras/99.7.541

Cited by 130 publications

(6 citation statements)

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“…By convention, the tidal increase in the lunar orbit period is presented as a tidal decrease in mean motion that is equal to a negative tidal acceleration in orbital longitude. Tidal acceleration was detected and presented by Spencer Jones [ 4 ] and Clemence [ 5 ] in the last century from the analysis of optical observations of the Moon, Sun, and planets. According to Kepler’s third law, a negative acceleration in orbital mean longitude (mean longitude = mean anomaly + argument of perigee + node, and its derivative is mean motion) corresponds to a linear increase in semimajor axis.…”

Section: Resultsmentioning

confidence: 99%

The past and present Earth-Moon system: the speed of light stays steady as tides evolve

2014

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Tides induce a semimajor axis rate of +38.08 ± 0.19 mm/yr, corresponding to an acceleration of the Moon’s orbital mean longitude of −25.82 ± 0.13 "/cent2, as determined by the analysis of 43 yr of Lunar Laser Ranging (LLR) data. The LLR result is consistent with analyses made with different data spans, different analysis techniques, analysis of optical observations, and independent knowledge of tides. Plate motions change ocean shapes, and geological evidence and model calculations indicate lower rates of tidal evolution for extended past intervals. Earth rotation has long-term slowing due to tidal dissipation, but it also experiences variations for times up to about 105 yr due to changes in the moment of inertia. An analysis of LLR data also tests for any rate of change in either the speed of light c or apparent mean distance. The result is (−2.8 ± 3.4)×10–12 /yr for either scale rate or –(dc/dt)/c, or equivalently −1.0 ± 1.3 mm/yr for apparent distance rate. The lunar range does not reveal any change in the speed of light.

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Section: Resultsmentioning

confidence: 99%

The past and present Earth-Moon system: the speed of light stays steady as tides evolve

2014

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“…Page 214 of [1], Faraut explains: "Le temps que cet Astre met à parcourir les douze Réasseys Le Mathiouma de Mars est donc : R.9 A.14 L.44." 25 .…”

Section: Khmer Mean Longitude Modelunclassified

“…24 Lipdas: (Sanskrit: lipta) 1/60 Angsa = 1 . 25 "The time this Planet takes to traverse the twelve Reasseys, the solar month, called its Choeung Ha, its divisor, is 687 days. It represents its year.…”

Section: Khmer Mean Longitude Modelmentioning

confidence: 99%

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A study of ancient Khmer ephemerides

Vernotte¹,

Kichenassamy²

2017

Preprint

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We study ancient Khmer ephemerides described in 1910 by the French engineer Faraut, in order to determine whether they rely on observations carried out in Cambodia. These ephemerides were found to be of Indian origin and have been adapted for another longitude, most likely in Burma. A method for estimating the date and place where the ephemerides were developed or adapted is described and applied.

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“…In fact, over many centuries, tidal friction inexorably slows Earth’s rate of rotation by about 2.3 ± 0.1 milliseconds per century (Abarca del Rio 1999). Other forces also change the rotation rate of the Earth (Spencer Jones 1939; Dickey 1995; Lourens, Wehausen & Brumsack 2001). Solar activities are the new known factors for this problem (Abarca del Rio et al 2003).…”

Section: Introductionmentioning

confidence: 99%

A novel approach to delta-T from 1620 to 2010

Hakimi¹,

Setayeshi

2011

Monthly Notices of the Royal Astronomical Society

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Universal Time (ut) is a non‐uniform time‐scale based on the rotation of the Earth around its axis. Another time‐scale based on the duration of the SI second that was originally defined by the revolution of the Earth in its orbit around the Sun, is called Terrestrial Time (tt). As tt is a uniform time designed to provide continuity with the former Ephemeris Time (et), the difference between tt and ut is known as delta‐T (ΔT). The time series of ΔT values shows the variations in Earth rotation. There are several mathematical models to represent ΔT used in astronomical software and calculations. This paper discusses a new model for values of ΔT from 1620 to 2010 that uses artificial neural networks. The maximum absolute error in this model is about 0.5 SI second. The accuracy of the new model is compared with that of four prior models.

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The Rotation of the Earth, and the Secular Accelerations of the Sun, Moon and Planets

Cited by 130 publications

References 0 publications

The past and present Earth-Moon system: the speed of light stays steady as tides evolve

The past and present Earth-Moon system: the speed of light stays steady as tides evolve

A study of ancient Khmer ephemerides

A novel approach to delta-T from 1620 to 2010

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