A second-order Uranus-Neptune theory by Hori's method

DOI10.1007/BF00056021zbMath0641.70008MaRDI QIDQ1100945

Osman M. Kamel

Publication date: 1988

Published in: Earth, Moon, and Planets (Search for Journal in Brave)

zbMATH Keywords

planetary HamiltonianJacobi-Radau systemelliptic expansionseccentricity-inclinationHori-Lie perturbation theoryUranus-Neptune canonical planetary theory

Mathematics Subject Classification ID

Celestial mechanics (70F15)

Related Items (4)

The expansion of negative powers of the mutual distance between two planets. I: Outline ⋮ Third-order Uranus-Neptune theory by Hori's method. IV: Third-order secular perturbations ⋮ Third-order Jupiter-Saturn planetary theory ⋮ The construction of a fifth-order Jupiter-Saturn motion: Analytical theory. I: Outline

Cites Work

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• On the elimination of short-period terms in second-order general planetary theory investigated by Hori's method
• A discussion of Hill's method of secular perturbations and its application to the determination of the zero-rank effects in non-singular vectorial elements of a planetary motion
• The influence of the great inequality on the secular disturbing function of the planetary system

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