In this paper we develop a new numerical method to integrate the equations of motion of a celestial body. The idea is to replace the differential equation for the fast moving component by an equation for the energy per unit mass. We use a simple first-order explicit method for the approximation of the new system. It is shown that the radial error is much smaller than that of some numerical schemes. It will be of interest to have a more extensive comparison with state-of-the-art methods currently in use for long-term trajectory propagation. The evaluation of energy is also more accurate than in other known schemes. This method also conserves the energy per unit mass in the case of perturbation-free flight. The idea can be extended to higher-order methods and implicit schemes.


    Access

    Check access

    Check availability in my library

    Order at Subito €


    Export, share and cite



    Title :

    A New Scheme for Trajectory Propagation


    Additional title:

    J of Astronaut Sci


    Contributors:

    Published in:

    Publication date :

    2002-09-01


    Size :

    14 pages




    Type of media :

    Article (Journal)


    Type of material :

    Electronic Resource


    Language :

    English




    A New Scheme for Trajectory Propagation

    Neta, Beny / Lipowski, Yoram | Springer Verlag | 2002


    A New Scheme for Trajectory Propagation

    Neta, Beny / Lipowski, Yoram | Online Contents | 2002


    A New Scheme for Trajectory Propagation

    Neta, Beny | Online Contents | 2002


    A New Scheme for Trajectory Propagation (AAS 01-446)

    Neta, B. / Lipowski, Y. / AAS et al. | British Library Conference Proceedings | 2001


    MONTE'S CLIENT-BASED TRAJECTORY PROPAGATION ARCHITECTURE

    Smith, Jonathon / Taber, William / Drain, Theodore et al. | British Library Conference Proceedings | 2016