Sources and bibliography

Every equation, every coefficient, every polynomial in the engine references a public paper, book or standard. List compiled in pipeline use order.

Reference books

  1. MEEUS, J. Astronomical Algorithms. 2nd ed. Richmond: Willmann-Bell, 1998. 477 p. ISBN 978-0-943396-61-3.
    The bedside book of computational astronomy. Chapters 22 (nutation), 25 (Sun), 47 (Moon), 48 (phases), 53 (libration) are the direct backbone of the engine.
  2. SEIDELMANN, P. K. (Ed.). Explanatory Supplement to the Astronomical Almanac. 3rd ed. Mill Valley: University Science Books, 2013. 720 p. ISBN 978-1-891389-85-6.
    Official manual of the Astronomical Almanac (USNO/RAS). Covers theoretical foundations in depth.
  3. URBAN, S. E.; SEIDELMANN, P. K. Explanatory Supplement to the Astronomical Almanac. University Science Books, 2013.
  4. MONTENBRUCK, O.; PFLEGER, T. Astronomy on the Personal Computer. 4th ed. Berlin: Springer, 2000. ISBN 978-3-540-67221-0.
    Practical treatment of algorithm implementation with Pascal/C++ code.

Papers and technical reports

Moon: ELP-2000/82B

  1. CHAPRONT-TOUZÉ, M.; CHAPRONT, J. The lunar ephemeris ELP-2000. Astronomy & Astrophysics, v. 124, p. 50-62, 1983. Bibcode: 1983A&A...124...50C. [ADS]
  2. CHAPRONT-TOUZÉ, M.; CHAPRONT, J. ELP-2000/82B and the dynamical reference system. Astronomy & Astrophysics, v. 190, p. 342-352, 1988. [ADS]
  3. BUREAU DES LONGITUDES (IMCCE). elp82b_1.f: Fortran implementation. Reference MCJCGF.9601, 1996. Available at: imcce.fr.

Planets: VSOP87

  1. BRETAGNON, P.; FRANCOU, G. Planetary theories in rectangular and spherical variables: VSOP87 solution. Astronomy & Astrophysics, v. 202, p. 309-315, 1988. Bibcode: 1988A&A...202..309B. [ADS]
  2. VizieR Catalogue VI/81. VSOP87 Planetary Theories. Centre de Donnees astronomiques de Strasbourg. [VizieR]

IAU nutation

  1. WAHR, J. M. The forced nutations of an elliptical, rotating, elastic, and oceanless Earth. Geophys. J. R. astr. Soc., v. 64, p. 705-727, 1981.
  2. IERS CONVENTIONS (2010). G. Petit and B. Luzum (eds.). IERS Technical Note 36. Frankfurt am Main: Verlag des Bundesamts für Kartographie und Geodäsie, 2010. 179 p. ISBN 3-89888-989-6. [IERS]
    Chapter 5 includes the full IAU 2000A tables (1365 terms).
  3. MATHEWS, P. M.; HERRING, T. A.; BUFFETT, B. A. Modeling of nutation and precession: New nutation series for nonrigid Earth and insights into the Earth's interior. Journal of Geophysical Research, v. 107, n. B4, 2002. DOI: 10.1029/2001JB000390

Time: ΔT, atomic scales

  1. ESPENAK, F.; MEEUS, J. Five Millennium Canon of Solar Eclipses: -1999 to +3000 (2000 BCE to 3000 CE). NASA Technical Publication 2006-214141. Greenbelt: NASA Goddard Space Flight Center, 2006. [NASA GSFC]
    Polynomials for ΔT in 9 historical branches covering 4000 BC to 3000 AD.
  2. MORRISON, L. V.; STEPHENSON, F. R. Historical values of the Earth's clock error ΔT and the calculation of eclipses. Journal for the History of Astronomy, v. 35, p. 327-336, 2004.
  3. BIPM. The International System of Units (SI). 9th ed. Sevres: BIPM, 2019. [BIPM]
  4. IAU. SI seconds, atomic time, and astronomical time scales. IAU Resolutions B1.5 (2000), B1.9 (2000).

Atmospheric refraction

  1. BENNETT, G. G. The calculation of astronomical refraction in marine navigation. Journal of Navigation, v. 35, n. 2, p. 255-259, 1982. DOI: 10.1017/S0373463300022037
  2. SAEMUNDSSON, T. Astronomical refraction. Sky & Telescope, v. 72, p. 70, July 1986.
  3. ALLEN, C. W. Astrophysical Quantities. 3rd ed. London: The Athlone Press, 1976. 310 p.

Reference frames and geodesy

  1. IAU. Resolution B1.6: IAU 2000 Precession-Nutation Model. IAU XXIV General Assembly, Manchester, 2000.
  2. CAPITAINE, N.; WALLACE, P. T.; CHAPRONT, J. Expressions for IAU 2000 precession quantities. Astronomy & Astrophysics, v. 412, p. 567-586, 2003. DOI: 10.1051/0004-6361:20031539
  3. CAPITAINE, N.; WALLACE, P. T. Concise CIO based precession-nutation formulations. Astronomy & Astrophysics, v. 478, p. 277-284, 2008. DOI: 10.1051/0004-6361:20078811
  4. NIMA. World Geodetic System 1984 (WGS 84): its definition and relationships with local geodetic systems. TR8350.2, 3rd ed. Bethesda: National Imagery and Mapping Agency, 2000.

Eclipses

  1. ESPENAK, F. NASA Catalog of Lunar Eclipses: -1999 to +3000. Greenbelt: NASA Goddard Space Flight Center. [NASA]
  2. ESPENAK, F. NASA Catalog of Solar Eclipses: -1999 to +3000. Greenbelt: NASA Goddard Space Flight Center. [NASA]

Official datasets

  1. JPL Horizons On-Line Ephemeris System. Jet Propulsion Laboratory, NASA. ssd.jpl.nasa.gov/horizons. Used for continuous validation.
  2. JPL DE440 / DE441 Planetary and Lunar Ephemerides. PARK, R. S.; FOLKNER, W. M.; WILLIAMS, J. G.; BOGGS, D. H. (2021). Astronomical Journal, 161, 105. DOI: 10.3847/1538-3881/abd414
  3. IAU SOFA (Standards Of Fundamental Astronomy). International Astronomical Union. iausofa.org. Canonical IAU library in Fortran 77 and ANSI C.
  4. IERS Earth Orientation Parameters. International Earth Rotation and Reference Systems Service. iers.org. Bulletin A (UT1-UTC, polar motion). Daily update.
  5. MaxMind GeoLite2-City. MaxMind Inc. dev.maxmind.com. IP -> city resolution for observer location. CC BY-SA 4.0.

IAU standards

  1. IAU. Resolution A4: Recommendations from the Working Group on Reference Systems. 1991.
  2. IAU. Resolution B1.6: IAU 2000A Precession-Nutation Model. 2000.
  3. IAU. Resolution P03: New Precession Theory. 2006.
  4. IAU WGCCRE. Report of the IAU/IAG Working Group on Cartographic Coordinates and Rotational Elements. 2015.

Output standards

  1. IVOA. VOTable Format Definition Version 1.4. International Virtual Observatory Alliance, 2019. [IVOA]
  2. FITS Working Group (IAU). Definition of the Flexible Image Transport System (FITS). Version 4.0, 2018. [NASA FITS]

How to cite this engine

BibTeX:

@misc{ocalendario_lab_2026,
    author = {{O Calendario}},
    title = {{O Calendario Laboratorio Astronomico: Motor OCSE-Lite}},
    year = {2026},
    howpublished = {\url{https://www.ocalendario.com.br/laboratorio/}},
    note = {Engine v2.0.0, ELP-2000/82B + VSOP87D + IAU 2000A + Espenak-Meeus 2006}
}

ABNT format:

O CALENDARIO. Astronomical Laboratory: OCSE-Lite engine v2.0.0. 2026. Available at: https://www.ocalendario.com.br/laboratorio/. Accessed: [date].