Abstract
In order to calculate the apparent places of stars, the barycentric and heliocentric positions of the Earth and the barycentric velocity of the Earth are required. It is shown that several tens of trigonometric terms for their expressions are sufficient for analyses of optical observations which have an observational accuracy of the order of 0″.001. We also give the analytical expressions of the position and velocity of the Earth with higher precision so that we can use them in the analyses of precise astrometry such as VLBI observations.
Similar content being viewed by others
References
Bretagnon, P.: 1982a, VSOP82, Magnetic Tape.
Bretagnon, P.: 1982b,Astron. Astrophys. 114, 278.
Broucke, R.: 1980, A FORTRAN-4 System for the Manipulation of Symbolic Poisson Series with application to Celestial Mechanics, IASOM TR 80-1, The University of Texas at Austin, 151.
Chapront-Touzé, M., Chapront, J.: 1982, ELP2000-82, Magnetic Tape.
Hirayama, Th., Kinoshita, H., Fujimoto, M-K., Fukushima, T.: 1988, in preparation.
Jet Propulsion Laboratory: 1981, Numerical Integration DE200/LE200, Magnetic Tape.
Kinoshita, H., Aoki, S.: 1983,Celest. Mech. 31, 329.
Nakai, H.: 1985,Tokyo Astronomical Observatory Report 20, 461.
Ron, C., Vondrák, J.: 1986,Bull. Astron. Inst. Czechosl. 37, 96.
Sôma, M.: 1988, ‘Inconsistencies in the Present Ephemerides’, IAU Colloquium No. 100,Celest. Mech. (in press).
Standish, E. M. Jr.: 1981,Astron. Astrophys. 101, L17.
Standish, E. M. Jr.: 1982,Astron. Astrophys. 114, 297.
Author information
Authors and Affiliations
Rights and permissions
About this article
Cite this article
Sôma, M., Hirayama, T. & Kinoshita, H. Analytical expressions of the Earth's position and velocity for the calculation of apparent positions. Celestial Mechanics 41, 389–410 (1987). https://doi.org/10.1007/BF01238774
Received:
Accepted:
Issue Date:
DOI: https://doi.org/10.1007/BF01238774