Luni-solar perturbations in the extended phase space representation of the Vinti problem

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Astrodynamics, Lunar Effects, Perturbation Theory, Satellite Perturbation, Three Body Problem, Vinti Theory, Canonical Forms, Hamiltonian Functions, Orbit Calculation, Sun

Scientific paper

As part of an effort to develop a highly accurate unified analytic theory of earth satellite motion, perturbation theory is applied to the Vinti solution of Alfriend et al. (1976) to include luni-solar perturbations. The moon is assumed to move along an ellipse with secular rates. The disturbing Hamiltonian is expressed in canonical variables, and the generating function is treated in two parts, one for the long period and the other for the short period.

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