Compressed Planetary and Lunar Ephemerides
A package of FORTRAN software has been developed which provides planetary and lunar positions, with respect to the solar system barycenter, for all times in the interval 18012049; positions agree to 1 milliarcsecond with those generated by Jet Propulsion Laboratory Development Ephemeris 200 (DE200). The system consists of approximately 800 kilobytes of ephemeris files and 40 kilobytes of programs, totalling 5% of the storage required by DE200. After removal of reference orbits, segments of DE200 positions were fitted by finite Chebyshev series of degree 40. The Chebyshev coefficients were rounded to integer multiples of a suitable unit and packed to form the ephemeris files.
KeywordsChebyshev Polynomial Astronomical Unit Reference Orbit Integer Coefficient Julian Date
Unable to display preview. Download preview PDF.
- Carpenter, L. (1966) Planetary Perturbations in Chebyshev Series, NASA TN D-3168, National Aeronautics and Space Administration, Washington.Google Scholar
- Corio, A. J. (1973) ‘The use of Chebyshev polynomials for satellite ephemerides’, COMSAT Tech. Rev. 3, 411–418.Google Scholar
- Deprit, A., Pickard, H., and Poplarchek, W. (1979) ‘Compression of Ephemerides by Discrete Chebyshev Approximations’, NAVIGATION: Journal of the Institute of Navigation, 26, 1–11.Google Scholar
- Fox, L. and Parker, I. B. (1968) Chebyshev Polynomials in Numerical Analysis, Oxford Univ. Press, London.Google Scholar
- Kaplan, G. H., Doggett, L. E., Seidelmann, P. K. (1976) Almanac for Computers, 1977, U.S. Naval Observatory Circular No. 155, U.S. Naval Observatory, Washington.Google Scholar
- Lanczos, C. (1952) `Tables of Chebyshev Polynomials’ Applied Math. Series,U.S. Bureau of Standards, 9, Government Printing Office, Washington.Google Scholar
- Lanczos, C. (1956) Applied Analysis, Prentice Hall, Inc., Englewood Cliffs, N. J.Google Scholar
- Seidelmann, P. K., Santoro, E. J., and Pulkkinen, K. F. (1986) ‘Systematic differences between planetary observations and ephemerides’, in J. Kovalevsky and V. A. Brumberg (eds.), Relativity in Celestial Mechanics and Astrometry, Proceedings of the 114th Symposium of the International Astronomical Union, D. Reidel Publishing Co., Dordrecht, pp. 99–103.Google Scholar
- Standish, E. M. (1986) ‘Numerical Planetary and Lunar Ephemerides: Present Status, Precision, and Accuracies’, in J. Kovalevsky and V. A. Brumberg (eds.), Relativity in Celestial Mechanics and Astrometry, Proceedings of the 114th Symposium of the International Astronomical Union, D. Reidel Publishing Co., Dordrecht, pp. 71–83.Google Scholar
- Standish, E. M., Jr., Keesey, M. S. W., and Newhall, XX (1976) Jet Propulsion Laboratory Development Ephemeris Number 96, NASA Tech. Rep. 32–1603, Jet Propulsion Laboratory, Pasadena.Google Scholar