Was obtained from the linear time-coefficient in Newcomb's expression for the solar mean longitude ( above ), taken and applied with the same meaning for the time as in formula ( 3 ) above.
12.
An equivalent, more descriptive, definition is " The natural basis for computing passing tropical years is the mean longitude of the Sun reckoned from the precessionally moving equinox ( the dynamical equinox or equinox of date ).
13.
It is however plainly impossible to create mean longitudes many centuries before the year 500 which could somehow be in such very precise agreement with observations at just this time, but not in neighbouring years . ""
14.
Meeus defines the beginning of a Besselian year to be the moment at which the mean longitude of the Sun, including the effect of aberration and measured from the mean equinox of the date, is exactly 280 degrees.
15.
:p . 20 " Billard s scientific analysis of many canons included the proof that the mean longitudes of the Brhmasphum asiddhnta were established in the seventh century, and so were certainly the work of Brahmagupta, as he claimed.
16.
Observations showed that Brown's tables were indeed superior to those of Hansen, which had been in use since 1857, but there was still a large unexplained fluctuation in the Moon's mean longitude of the order of 10 arcseconds.
17.
As I am in the UK they may not grow as large as the watermelons for sale in supermarkets, as the latitude ( or maybe I mean longitude ? ) here is about the same as Newfoundland and hence the sun is not as powerful.
18.
The process for finding an expression for the length of the tropical year is to first find an expression for the Sun's mean longitude ( with respect to H & ), such as Newcomb's expression given above, or Laskar's expression ( 1986, p . 64 ).
19.
In the introduction to Newcomb's Tables of the Sun ( 1895 ) the basis of the tables ( p . 9 ) includes a formula for the Sun's mean longitude, at a time indicated by interval T ( in Julian centuries of 36525 mean solar days ) reckoned from Greenwich Mean Noon on 0 January 1900:
20.
:: : " Billard's demonstration that the mean longitudes of the ryabham + ya were in striking agreement with the true state of the Sun, Moon and planets just around A . D . 510, and must therefore have been founded on observations by ryabham a, was therefore in plain contradiction with Pingree's views.
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