We construct a U-N secular canonical planetary theory of the third order with respect to planetary masses. The Hori-Lie procedure is adopted to solve the problem. ## Expansions have been carried out by hand, neglecting powers higher than the second with respect to the eccentricityinclination. We
โฆ LIBER โฆ
A second-order Uranus-Neptune theory by Hori's method
โ Scribed by Osman M. Kamel
- Publisher
- Springer Netherlands
- Year
- 1988
- Tongue
- English
- Weight
- 834 KB
- Volume
- 40
- Category
- Article
- ISSN
- 1573-0794
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We construct the outline of a third order secular theory for the four major planets. We apply the Hori-Lie technique to solve the problem. We take into consideration both parts of the perturbing function. Our canonical variables are those of H. Poincare. Our periodic terms arc the only 2 : 5 and 1: