Lambert’s two-body orbital boundary value problem (BVP) is the determination of the terminal velocity vectors of a trajectory connecting two fixed positions in a specified transfer time. The solution to Lambert’s problem is often the basis for preliminary trajectory design and optimization. In this work, several related two-body orbital BVPs, with constraints involving terminal velocities, flight-path angle, Δv, final radius, transfer angle, etc., are studied. Exact solutions to these BVPs are derived in a universal form via the Kustaanheimo-Stiefel transformation. The solutions are regular and completely analytic if the energy of the transfer orbit is known a priori. Otherwise, they require root-finding of either a polynomial or a transcendental equation with well-defined bounds on its roots. The algorithms developed are validated on several orbit transfer problems and can enable complex mission analysis and parametric studies or serve as initial guesses for high-fidelity numerical optimization schemes.


    Zugriff

    Zugriff prüfen

    Verfügbarkeit in meiner Bibliothek prüfen

    Bestellung bei Subito €


    Exportieren, teilen und zitieren



    Titel :

    Two-Body Orbital Boundary Value Problems in Regularized Coordinates


    Weitere Titelangaben:

    J Astronaut Sci


    Beteiligte:

    Erschienen in:

    Erscheinungsdatum :

    01.06.2020


    Format / Umfang :

    40 pages




    Medientyp :

    Aufsatz (Zeitschrift)


    Format :

    Elektronische Ressource


    Sprache :

    Englisch




    Two-Body Orbital Boundary Value Problems in Regularized Coordinates

    Mahajan, Bharat / Vadali, Srinivas R. | Online Contents | 2019




    Extended Kalman Filtering in Regularized Coordinates for Orbit Determination

    Ciliberto, David / Singla, Puneet / Majji, Manoranjan | TIBKAT | 2019


    Optimal Quadrature-Based Filtering in Regularized Coordinates for Orbit Determination (AAS 19-775)

    Ciliberto, David / Singla, Puneet / Raquepas, Joe et al. | TIBKAT | 2020