A note on first-order normalizations of perturbed Keplerian systems |
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Authors: | Thomas J Kelly |
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Institution: | 1. Deptartment of Aerospace Engineering and Engineering Mechanics, University of Cincinnati, 45221, Cincinnati, Ohio, U.S.A.
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Abstract: | Techniques are developed to facilitate the transformation of a perturbed Keplerian system into Deláunay normal form at first
order. The implicit dependence of the Hamiltonian on 1, the mean anomaly, through the explicit variable f, the true anomaly,
or E, the eccentric anomaly, is removed through first order for terms of the form:
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