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Third-order Uranus-Neptune theory by Hori's method

โœ Scribed by Osman M. Kamel

Publisher
Springer Netherlands
Year
1989
Tongue
English
Weight
427 KB
Volume
45
Category
Article
ISSN
1573-0794

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โœฆ Synopsis

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 take into account the principal as well as the indirect part of the planetary disturbing function.

The theory is expressed in terms of the Poincare canonical variables, referring to the Jacobi-Radau set of origins. We assume that the I : 2 U-N critical terms and its multiples are the only periodic terms.

๐Ÿ“œ SIMILAR VOLUMES

Third-order Uranus-Neptune planetary the
Third-order Uranus-Neptune planetary theory
โœ Osman M. Kamel; Abdel Aziz Bakry ๐Ÿ“‚ Article ๐Ÿ“… 1988 ๐Ÿ› Springer Netherlands ๐ŸŒ English โš– 542 KB

In this part we calculate the secular and critical terms arising from the indirect part of the classical planetary Hamiltonian for Uranus and Neptune. We neglect in our expansions powers higher than the second in the eccentricity-inclination. Our required results, are expressed in terms of Poincare

The construction of a third order secula
The construction of a third order secular analytical J-S-U-N theory by Hori-Lie technique
โœ Osman M. Kamel ๐Ÿ“‚ Article ๐Ÿ“… 1990 ๐Ÿ› Springer Netherlands ๐ŸŒ English โš– 356 KB

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: