Application of Hori technique in general planetory theory. I: First step
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Publication:1118429
DOI10.1007/BF00054243zbMath0668.70016OpenAlexW1527716705MaRDI QIDQ1118429
Publication date: 1989
Published in: Earth, Moon, and Planets (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/bf00054243
periodic perturbationscanonical equationsHori-Lie procedureplanetory theoryshort-period termsthird-order planetary theory
Related Items (12)
The construction of a third order secular analytical J-S-U-N theory by Hori-Lie technique. III: Determination of \((S_ 1, S_ 2)\) and \((F^{\prime}_ 1, F^{\prime}_ 2, F^{\prime}_ 3)\) ⋮ A second note on Hori-Lie perturbation technique ⋮ A note on the Hori-Lie perturbation technique ⋮ Expression of the initial Poincaré canonical variables as functions of the new in a ninth order J-S theory ⋮ Landing of Mars or Ceres on Earth (new model of our solar system). I: Perturbation after landing in a second order theory ⋮ A First Order Automated Lie Transform ⋮ The construction of a seventh-order Jupiter-Saturn analytical theory ⋮ Third-order Jupiter-Saturn planetary theory ⋮ The construction of a third order secular analytical J-S-U-N theory by Hori-Lie technique. I: Outline ⋮ Application of Hori's technique in general planetary theory. II: The complete solution of the canonical equations of motion ⋮ The construction of a fifth-order Jupiter-Saturn motion: Analytical theory. I: Outline ⋮ Placing Venus in an orbit similar to that of the Earth. I: Perturbations after alteration in a third-order theory
Cites Work
- On the elimination of short-period terms in second-order general planetary theory investigated by Hori's method
- Invariance in Von Zeipel method
- [https://portal.mardi4nfdi.de/wiki/Publication:4164882 On the elimination of the critical terms of a first order theory of Jupiter perturbed by Saturn carried out through Hori's method and Poincar� canonical variables]
- Canonical transformations depending on a small parameter
- Equivalence of the perturbation theories of Hori and Deprit
- A new algorithm for the Lie transformation
- Explicit recursive algorithms for the construction of equivalent canonical transformations
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