Earth, Moon, and Planets

, Volume 60, Issue 2, pp 141–175 | Cite as

The construction of a seventh-order Jupiter-Saturn analytical theory

Part II: Extended outline to O(m7)
  • Osman M. Kamel
  • Adel S. Soliman


We extend the construction of the Jupiter-Saturn theory to include all the terms up to the seventh order in the masses. The Hori-Lie transformation technique is employed. The Jacobian coordinates are adopted and the theory is expressed in terms of the canonical non-singular variables of H. Poincaré.


Analytical Theory Transformation Technique Seventh Order 
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Copyright information

© Kluwer Academic Publishers 1993

Authors and Affiliations

  • Osman M. Kamel
    • 1
  • Adel S. Soliman
    • 2
  1. 1.Astronomy Department, Faculty of SciencesCairo UniversityGizaEgypt
  2. 2.Theoretical Physics DepartmentNational Research CenterGizaEgypt

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