Second order theory of the inner planets

Details Second order theory of the inner planets Second order theory of the inner planets

Apr 1980

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1980a%26a....84..329b&link_type=abstract

Astronomy and Astrophysics, vol. 84, no. 3, Apr. 1980, p. 329-341. In French.

Astronomy and Astrophysics

Astrophysics

28

Earth (Planet), Mars (Planet), Mercury (Planet), Orbital Mechanics, Planetary Mass, Terrestrial Planets, Venus (Planet), Analytic Functions, Center Of Gravity, Earth-Moon System, Equations Of Motion, Longitude, Many Body Problem, Mass Distribution, Numerical Integration, Periodic Variations, Relativistic Effects, Variable Mass Systems

Scientific paper

Second order mass perturbations are obtained for Mercury, Venus, the earth, and Mars. The solutions are analytical functions of the mean longitudes of the eight planets and are numerical with respect to the other constant of integration. Comparisons with numerical integration results show that accuracies obtained are better than 0.01 arcsec for Mercury, Venus, and the earth, and about 0.01 arcsec for Mars over a period of about one century. Relativistic corrections are described, and perturbations of the barycenter of the earth-moon system due to the moon are calculated. Finally, mean elements connected with the ecliptic 1950.0 are presented.

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