Astronomy and Astrophysics – Astrophysics
Scientific paper
Mar 1987
adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1987a%26a...175..303s&link_type=abstract
Astronomy and Astrophysics (ISSN 0004-6361), vol. 175, no. 1-2, March 1987, p. 303-308. In French.
Astronomy and Astrophysics
Astrophysics
6
Celestial Mechanics, Harmonic Analysis, Perturbation Theory, Computer Programs, Partial Differential Equations
Scientific paper
The construction of the perturbations of the fourth order with respect to the masses is necessary to improve the planetary theories built at Bureau des Longitudes: VSOP 82 (Bretagnon, 1982), TOP 82 (Simon, 1983) and JASON 84 (Simon and Bretagnon, 1984). For this construction it is necessary to compute the third derivatives of the equations but the computation by the methods generally used (analytic developments or multiplications of Fourier series) seems to be difficult and cumbersone. Here the authors suggest to compute the successive derivatives of the Lagrange equations by harmonic analysis and apply this method to the computation of the first and second derivatives.
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