Lambert's problem attracted the attention of the greatest mathematicians, such as Euler, Gauss, and Lagrange, and is responsible for many advances in analytical and computational mechanics. This chapter first considers the case of an elliptic transfer orbit, and later generalizes the discussion to include other shapes. An elliptic transfer is distinguished from the other types of transfer in that for a given semi‐major axis and a fixed transfer sector there are two possible ways in which the transfer can be made. These are detailed in this chapter. The expressions for the flight time are derived for a transfer between two given coplanar radial positions, r1(t1) and r2(t2), separated by a chord length by elliptic, hyperbolic, and parabolic orbits. The solution to Lambert's problem requires orbit determination between r1(t1) and r2(t2). A transformation to a new variable is necessary for a numerical solution.


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    Titel :

    Lambert's Problem


    Beteiligte:
    Tewari, Ashish (Autor:in)

    Erschienen in:

    Erscheinungsdatum :

    2021-02-01


    Format / Umfang :

    30 pages




    Medientyp :

    Aufsatz/Kapitel (Buch)


    Format :

    Elektronische Ressource


    Sprache :

    Englisch




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