Continuous-thrust relative reachable set is presented for the spacecraft linear relative motion near elliptical orbits. Two cases with different constraints are considered: the energy-constrained case and the fuel-constrained case. Based on the distance-fields-over-grids method, the envelopes of the relative reachable sets for both cases are approximated by a number of grid points on it, and these grid points are obtained from a series of optimization problems. Based on the continuous-thrust analytical state propagation, the original optimization problems for both cases are converted into the nonlinear programming problems. Furthermore, for the energy-constrained case, the analytical solution is obtained by using the Lagrange multiplier method; whereas for the fuel-constrained case, the problem is converted into a mixed-integer linear programming problem to rapidly obtain solutions. Several numerical examples are provided to verify that the developed methods for solving the spacecraft relative reachable sets are feasible and computationally efficient.


    Zugriff

    Zugriff prüfen

    Verfügbarkeit in meiner Bibliothek prüfen

    Bestellung bei Subito €


    Exportieren, teilen und zitieren



    Titel :

    Continuous-Thrust Reachable Set for Linear Relative Motion Near Elliptical Orbits


    Beteiligte:
    Lin, Xin (Autor:in) / Zhang, Gang (Autor:in)


    Erscheinungsdatum :

    01.12.2023


    Format / Umfang :

    2699430 byte




    Medientyp :

    Aufsatz (Zeitschrift)


    Format :

    Elektronische Ressource


    Sprache :

    Englisch



    Relative Motion in Highly Elliptical Orbits

    Garrison, J. / Gardner, T. / Axelrad, P. et al. | British Library Conference Proceedings | 1995


    Relative Motion in Highly Elliptical Orbits

    Garrison, J. L. / Gardner, T. G. / Axelrad, P. et al. | British Library Conference Proceedings | 1995




    Optimal Low-Thrust Rendezvous on Elliptical Orbits

    Marinescu, A. / Manolescu, S. / Istratie, V. et al. | British Library Conference Proceedings | 1994