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Titlebook: Applications of Modern Dynamics to Celestial Mechanics and Astrodynamics; Proceedings of the N Victor Szebehely (L.B. Meaders Professor of

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Modern Lunar Theoryolutions of the problem are presented and the effects of small divisors are described. There exists a converging iterative procedure that permits the construction of a formal solution to any order despite the difficulty introduced by small divisors and particularly the critical argument 2D - F - ℓ +
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Recent Progress in the Theory of the Trojan Asteroidsf libration is expressed as a function of the mass parameter and the normalized Jacobian constant. Brown’s conjecture regarding the termination of the tadpole branch of the family at L.is refined, and a heuristic proof of its validity is offered.
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Regularization of the Singularities of the N-Body Problem”.The regularization of singularities answer to the question “How to extend naturally a solution after a singularity” has a theoretical interest and it is also useful for numerical integrations..There are two types of regularization: the analytical regularization (Siegel’s regularization) and the to
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