A novel algorithm is presented that provides an improvement over a traditional parameter optimization method when solving time-optimal, finite-burn pseudo-rendezvous spacecraft trajectory problems. A hybrid optimization procedure is described that converts a set of multiple-impulses, representing high- or low-thrust maneuvers, to an exact time-optimal finite-burn trajectory for a thrust limited, constant exhaust velocity spacecraft. The Hybrid Method applies a control law derived from the Euler-Lagrange system of equations within the classical Indirect Method to a modern Direct Method. An iterative adjoint-control transformation and an evolving constraint vector are introduced to solve the optimal control two-point boundary value problem. This method requires no prior knowledge of the solution, which adds simplicity to the trajectory design process and aids automation. Examples are shown for low-thrust apogee raise maneuvers, non-coplanar Earth orbit transfers, and a modified Deep Space 1 low-thrust trajectory. A numerically significant improvement to objective cost is shown across all application problems compared to a traditional solution method, as well as a significant improvement to convergence speed for a select class of problems.


    Access

    Access via TIB

    Check availability in my library


    Export, share and cite



    Title :

    Multi-Impulse to Time Optimal Finite Burn Trajectory Conversion


    Contributors:

    Conference:

    2020 AIAA SciTech Forum ; 2020 ; Orlando, FL, US


    Type of media :

    Conference paper


    Type of material :

    No indication


    Language :

    English


    Keywords :


    Multi-Impulse to Time Optimal Finite Burn Trajectory Conversion

    Fogel, J. / Williams, J. / Widner, M. et al. | NTRS | 2020


    Multi-Impulse to Time Optimal Finite Burn Trajectory Conversion

    Fogel, Joshua A. / Widner, Maxon / Williams, Jacob et al. | AIAA | 2020


    MULTI-IMPULSE TO TIME OPTIMAL FINITE BURN TRAJECTORY CONVERSION

    Fogel, Joshua A. / Widner, Maxon / Williams, Jacob et al. | TIBKAT | 2020