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

Part II: Extended outline to O(m 7)

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Abstract

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.

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Kamel, O.M., Soliman, A.S. The construction of a seventh-order Jupiter-Saturn analytical theory. Earth Moon Planet 60, 141–175 (1993). https://doi.org/10.1007/BF00614380

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Keywords

  • Analytical Theory
  • Transformation Technique
  • Seventh Order