Long-period terms in the solar system

Details Long-period terms in the solar system Long-period terms in the solar system

Oct 1976

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1976stin...7634090b&link_type=abstract

Long-period terms in the solar system NASA Transl. into ENGLISH from Astron. Astrophys. (West Germany), v. 30, no. 1, Jan. 1974

Astronomy and Astrophysics

Astrophysics

Solar Orbits, Solar System, Differential Equations, Euler-Lagrange Equation, Orbit Perturbation

Scientific paper

The long period variations of the eight planets of the solar system (excluding Pluto) were studied. The Lagrange solution was first calculated, and the long period terms of fourth order in eccentricities and inclinations in the perturbing function were then introduced. In a second approximation, the contribution of the short period terms which provide the perturbations of the first order with respect to the masses was taken into account. Special attention was given to the problem of determining the integration constants. This work displays the relative importance of the different contributions -- it is useless to introduce the long period terms of fifth order if the short period terms are not taken into account. The major contributions were included; the neglected terms would not modify the integration constants materially.

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