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
- Analytical Theory
- Transformation Technique
- Seventh Order