Abstract
Various methods of approximation for the computation of planetary perturbations are investigated: Fourier, Fourier-Chebyschev and Legendre. Application is made to Pluto's motion. Based upon JPL's ephemeris DE200, Pluto's mean elements are provided and also a compact ephemeris covering 2 centuries.
Similar content being viewed by others
References
Bacchus, P.: 1981,Pub. IRMA Lille, 3, 7.
Bretagnon, P.: 1982,Astron. Astrophys., 114, 278.
Brouwer, D., Clemence, G. M., and Eckert, W. J.: 1951,Astronomical Papers of the American Ephemeris, Vol. 12. US Government Printing Office. Washington.
Carpenter, L.: 1966,NASA TN. D-3168.
Chapront, J.: 1977,Astron. Astrophys., 61, 7.
Chapront, J.: 1982,Celes. Mech., 28, 415.
Chapront, J., Bretagnon, P. and Mehl, M.: 1975,Celes. Mech., 11, 379.
Chapront, J. and Vu, D. T.: 1984,Astron. Astrophys., to be published.
Cohen, C. J., Hubbard, E. C. and Oesterwinter, C.: 1972,Astronomical Papers of the American Ephemeris, Vol. 22, Part. 1, US Government Printing Office. Washington.
Connaissance des Temps: 1979, Gauthier-Villars, Paris.
Giacaglia, G. E. O. and Nacozy, P. E.: 1970, inPeriodic Orbits, Stability and Resonances, Ed. G. Giacaglia, D. Reidel Publ. Co., Dordrecht, Holland.
Goodrich, E. F. and Carpenter, L.: 1966,NASA TN. X643-66-133.
Hildebrand, F. B.: 1956,Introduction to Numerical Analysis, Mc Graw-Hill Book Company, Inc. New York.
Ivanova, T. V.: 1978, inDynamics of Planets and Satellites, Ed. V. Szebehely, D. Reidel Publ. Co., Dordrecht, Holland.
Nacozy, P. E.: 1980,Celes. Mech., 22, 19.
Oesterwinter, C. and Cohen, C. J.: 1972,Celes. Mech., 5, 317.
Petrovskaia, M. S.: 1970,Celes. Mech., 3, 121.
Petrovskaia, M. S.: 1977,Celes. Mech., 15, 125.
Seidelmann, P. K.: 1984, Private communication.
Simon, J. L.: 1982,Astron. Astrophys., 120, 197.
Standish, E. M. and Williams, J. G., 1982,Development Ephemeris DE200-LE200, Magnetic tape.
Author information
Authors and Affiliations
Rights and permissions
About this article
Cite this article
Chapront, J. Approximation methods in celestial mechanics. Application to Pluto's motion. Celestial Mechanics 34, 165–184 (1984). https://doi.org/10.1007/BF01235799
Issue Date:
DOI: https://doi.org/10.1007/BF01235799