Searching for naturally bounded relative orbits in a zonal gravitational field is a crucial and challenging task in astrodynamics. In this work, a semi-analytical approach based on high-order Taylor expansions of Poincaré maps is developed. Entire families of periodic orbits, parameterized by the energy and the polar component of the angular momentum, are computed under arbitrary order zonal harmonic perturbations, thus enabling the straightforward design of missions with prescribed properties. The same technique is then proven effective in determining quasi-periodic orbits that are in bounded relative motion for a long time and with a very large aperture. Finally, an illustrative example of how to frame the design of bounded relative orbits with prescribed properties as an optimization problem is presented.


    Access

    Check access

    Check availability in my library

    Order at Subito €


    Export, share and cite



    Title :

    Bounded Relative Orbits in the Zonal Problem via High-Order Poincaré Maps


    Contributors:
    He, Yanchao (author) / Armellin, Roberto (author) / Xu, Ming (author)

    Published in:

    Publication date :

    2018-11-09


    Size :

    18 pages




    Type of media :

    Article (Journal)


    Type of material :

    Electronic Resource


    Language :

    English





    Design of Bounded Relative Trajectories in the Earth Zonal Problem

    Baresi, Nicola / Scheeres, Daniel J. | AIAA | 2017




    Poincare Maps and Resonant Orbits in the Circular Restricted Three-Body Problem (AAS 11-428)

    Vaquero, M. / Howell, K.C. / American Astronautical Society et al. | British Library Conference Proceedings | 2012