The construction of a third order secular analytical J-S-U-N theory by Hori-Lie technique. I - Outline

Details The construction of a third order secular analytical J-S-U-N theory by Hori-Lie technique. I - Outline The construction of a third order secular analytical J-S-U-N theory by Hori-Lie technique. I - Outline

Jun 1990

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1990em%26p...49..259k&link_type=abstract

Earth, Moon, and Planets (ISSN 0167-9295), vol. 49, June 1990, p. 259-267.

Astronomy and Astrophysics

Astronomy

3

Jupiter (Planet), Neptune (Planet), Planetary Evolution, Poincare Problem, Saturn (Planet), Uranus (Planet), Analytic Functions, Astronomical Models, Canonical Forms

Scientific paper

The outline of a third order secular theory for the four major planets is constructed. The Hori-Lie technique is applied to solve the problem. Both parts of the perturbing function are taken into consideration. The canonical variables are those of Poincare. The periodic terms are the only 2:5 and 1:2 critical terms of J-S and U-N, respectively. Terms of degree higher than the second in the Poincare canonical variables H, K, P, Q are neglected.

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