The construction of a general third-order planetary theory

DOI10.1007/BF00941368zbMath0504.70012MaRDI QIDQ4741739

Osman M. Kamel

Publication date: 1982

Published in: The Moon and the Planets (Search for Journal in Brave)

zbMATH Keywords

von Zeipel's methodPoincare's canonical variablesperiod of 1970-1982third order planetary theory

Mathematics Subject Classification ID

Celestial mechanics (70F15) (n)-body problems (70F10) Research exposition (monographs, survey articles) pertaining to mechanics of particles and systems (70-02)

Related Items (1)

The construction of a fifth-order Jupiter-Saturn motion: Analytical theory. I: Outline

Cites Work

• Expansion of the inverse of mutual distance between two bodies raised to any power
• On the elimination of short-period terms in second-order general planetary theory investigated by Hori's method
• On the elimination of the critical term in a general first-order Uranus-Neptune theory
• Elimination of the critical terms in a first-order general planetary theory
• [https://portal.mardi4nfdi.de/wiki/Publication:4069826 Un formulaire pour le calcul des perturbations d'ordres �lev�s dans les probl�mes plan�taires]
• Planetary theory developments, 1973?1976
• [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]

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