Secular variations of major planets' orbital elements

Details Secular variations of major planets' orbital elements Secular variations of major planets' orbital elements

Feb 1986

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1986cemec..38..123k&link_type=abstract

Celestial Mechanics (ISSN 0008-8714), vol. 38, Feb. 1986, p. 123-138.

Computer Science

6

Orbital Elements, Planets, Secular Variations, Solar Orbits, Eccentricity, Numerical Integration, Roots Of Equations

Scientific paper

The masses and mean elements given by Bretagnon (1982) for Mercury, Venus, earth-moon, Mars, Jupiter, Saturn, Uranus, and Neptune are used to calculate the secular variations of the orbital elements. The classical Lagrange method with the second-order terms of Hill (1897) and Brouwer and van Woerkom (BVW) (1950) is employed, and the results are presented in tables and compared with those of BVW and with results obtained using higher-order/higher-degree solutions (e.g., Bretagnon, 1984, and Duriez, 1979). Significant differences are found, and it is concluded that variation data calculated by the BVW method can be considered only first approximations, to be replaced whenever possible by higher-order/higher-degree values.

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