Newcomb's Tables of the Sun

Newcomb's Tables of the Sun (full title Tables of the Motion of the Earth on its Axis and Around the Sun)[a] is a work by the American astronomer and mathematician Simon Newcomb, published in volume VI of the serial publication Astronomical Papers Prepared for the Use of the American Ephemeris and Nautical Almanac.[1] The work contains Newcomb's mathematical development of the position of the Earth in the Solar System, which is constructed from classical celestial mechanics as well as centuries of astronomical measurements. The bulk of the work, however, is a collection of tabulated precomputed values that provide the position of the sun at any point in time.

Newcomb's Tables were the basis for practically all ephemerides of the Sun published from 1900 through 1983, including the annual almanacs of the U.S. Naval Observatory and the Royal Greenwich Observatory. The physical tables themselves were used by the ephemerides from 1900 to 1959, computerized versions were used from 1960 to 1980, and evaluations of the Newcomb's theories were used from 1981 to 1983.[2] The tables are seldom used now; since the Astronomical Almanac for 1984 they have been superseded by more accurate numerically-integrated ephemerides developed at Jet Propulsion Laboratory, based on much more accurate observations than were available to Newcomb. Also, the tables did not account for the effects of general relativity which was unknown at the time. Nevertheless, his tabulated values remain accurate to within a few seconds of arc to this day.

He developed similar formulas and tables for the planets Mercury,[3] Venus,[4] Mars,[5] Uranus[6] and Neptune;[7] those of the inner planets have proved to be the most accurate.


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  1. ^ Simon Newcomb, Tables of the Four Inner Planets, 1–169.
  2. ^ Urban, Sean E.; Seidelmann, P. Kenneth, eds. (2013), Explanatory Supplement to the Astronomical Almanac (Third ed.), University Science Books, p. 306, ISBN 978-1-891389-85-6 (1992: p. 317)
  3. ^ "Tables of the Heliocentric Motion of Mercury", in: Astronomical Papers Prepared for the Use of the American Ephemeris and Nautical Almanac, volume VI (1898), pp. 171–270 [Part II].
  4. ^ "Tables of the Heliocentric Motion of Venus", in: Astronomical Papers Prepared for the Use of the American Ephemeris and Nautical Almanac, volume VI (1898), pp. 271–382 [Part III].
  5. ^ "Tables of the Heliocentric Motion of Mars", in: Astronomical Papers Prepared for the Use of the American Ephemeris and Nautical Almanac, volume VI (1898), pp. 383–586 [Part IV].
  6. ^ "Tables of the Heliocentric Motion of Uranus", in: Astronomical Papers Prepared for the Use of the American Ephemeris and Nautical Almanac, volume VII (1898), pp. 287–416 [Part III].
  7. ^ "Tables of the Heliocentric Motion of Neptune", in: Astronomical Papers Prepared for the Use of the American Ephemeris and Nautical Almanac, volume VII (1898), pp. 417–471 [Part IV].