Several formulations are possible for the optimization of N-impulse two-body orbit transfers. One formulation that assumes the first N − 1 impulses are design variables, and implements Lambert’s algorithm in the final leg is considered here. This paper presents a derivation for the analytic expressions of the gradients needed to optimize a transfer using this formulation. The derivations of the analytic gradients, verification tests using complex-step differentiation, as well as numerical case studies for three-impulse orbit transfers are presented. The numerical case studies highlight a significant reduction in the computational cost, measured in terms of the number of objective function evaluations.


    Access

    Check access

    Check availability in my library

    Order at Subito €


    Export, share and cite



    Title :

    Impact of Using Analytic Derivatives In Optimization For N-Impulse Orbit Transfer Problems


    Additional title:

    J Astronaut Sci


    Contributors:

    Published in:

    Publication date :

    2022-04-01


    Size :

    33 pages




    Type of media :

    Article (Journal)


    Type of material :

    Electronic Resource


    Language :

    English




    Impact of Analytic Derivatives on Optimization of N-Impulse Orbit Transfer

    Ahmede Ellithy / Ossama Abdelkhalik / Jacob Englander | NTRS


    Impact of Analytic Derivatives on Optimization of N-Impulse Orbit Transfer (AAS 20-491)

    Ellithy, Ahmed / Abdelkhalik, Ossama / Englander, Jacob | TIBKAT | 2021



    Two-impulse transfer vs one-impulse transfer, analytic theory

    Barrar, R.B. | Engineering Index Backfile | 1963