Abstract An extension of Deprit’s elimination of the parallax is proposed. This extension takes advantage of the flexibility of the Lie-Deprit method, when the inverse of the Lie operator is applied in order to calculate the generating function of this Lie transform. We have found that, under certain conditions, a function $\mathcal {F}_{n}$, belonging to the null space of the Lie operator, can be added to the generating function of the transform at each order, so that the argument of the perigee, and therefore the argument of latitude, can be fully removed in the zonal case of the artificial satellite problem.


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    Title :

    Deprit’s Elimination of the Parallax Revisited


    Contributors:


    Publication date :

    2013




    Type of media :

    Article (Journal)


    Type of material :

    Print


    Language :

    English



    Classification :

    BKL:    55.60 Raumfahrttechnik
    Local classification TIB:    770/7040



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