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Two Unified Algorithms for Fundamental Planetary Ephemeris
Department of Astronomy, Faculty of Science, King Abdulaziz University, Jeddah, KSA
Department of Astronomy, National Research Institute of Astronomy and Geophysics, Cairo, Egypt
Department of Mathematics, College of Science for Girls, King Abdulaziz University, Jeddah, KSA
Department of Mathematics, Preparatory Year, Qassim University, Buraidah, KSA
- 1 Department of Astronomy, Faculty of Science, King Abdulaziz University, Jeddah, KSA
- 2 Department of Astronomy, National Research Institute of Astronomy and Geophysics, Cairo, Egypt
- 3 Department of Mathematics, College of Science for Girls, King Abdulaziz University, Jeddah, KSA
- 4 Department of Mathematics, Preparatory Year, Qassim University, Buraidah, KSA
International Journal of Astronomy and Astrophysics·Volume 04 (2014)·Pages 598–606·Published 18 November 2014·DOI10.4236/ijaa.2014.44054
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Abstract
In the present paper, we established two unified algorithms. The first algorithm is for the transformations between J2000.0 Keplerian orbital elements and B1950.0 elements, while the second is for the transformations between the equatorial orbital elements and the ecliptic orbital elements. Mathematica Modules of the algorithms are given together with some numerical applications.
KeywordsSpherical AstronomyPrecessionEphemerisOrbit Determination
- Capitaine, N. and McCarthy, D. (2004) American Astronomical Society Meeting 204, #28.01. Bulletin of the American Astronomical Society 36, p.694.
- Standish, E.M. (1982) Conversion Positions and Proper Motions from B1950.0 to the IAU System at J2000.0. Astronomy and Astrophysics, 115, 20-22.
- Murray, C.A. (1989) The Transformation of Coordinates between the Systems of B1950.0 and J 2000.0, and the Principal Galactic Axes Referred to J2000.0. Astronomy and Astrophysics, 218, 325-329.
- Aoki, S., Soma, M., Kinoshita, H. and Inoue, K. (1983), Conversion Matrix of Epoch B1950.0 FK 4-Based Positions of Stars to Epoch J2000.0 Positions in Accordance with the New IAU Resolution. Astronomy and Astrophysics, 128, 263-267.
- Todhunter, M.A. (1925) Spherical Trigonometry. Macmillan & Co., London.
- Seidelmann, P.K. (2005) Explanatory Supplement to the Astronomical Almanac. University of Science Books, Sausalito.