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Third-order Jupiter — Saturn planetary theory

✍ Scribed by Osman M. Kamel

Publisher
Springer Netherlands
Year
1989
Tongue
English
Weight
619 KB
Volume
47
Category
Article
ISSN
1573-0794

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✦ Synopsis

The construction of a third order J-S theory is presented. The Hori theory of planetary perturbations is employed. No Critical J-S terms due to the 2:5 commensurabilities and its multiples exist, when we take into account the periodic terms of order 0, 1, 2 with respect to the eccentricityinclination. In this case the Lie series transformation degenerates and is meaningless. The J-S equations of motion for secular perturbations are solved when we neglect in our treatment, the Poisson terms of degree >2 in the Poincare canonical variables H,,, K,,. P,,, Q<, (u = 1, 2). The Jacobi-Radau referential is adopted. and the theory is expressed in terms of the canonical variables of H. Poincare.

📜 SIMILAR VOLUMES

Third-order Uranus-Neptune planetary the
Third-order Uranus-Neptune planetary theory
✍ Osman M. Kamel; Abdel Aziz Bakry 📂 Article 📅 1988 🏛 Springer Netherlands 🌐 English ⚖ 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