The shape-based low-thrust trajectory approximation with modified inverse polynomials is studied by considering thrust and radius constraints, which require that the thrust-acceleration magnitude be less than a maximum allowed value and the trajectory radius be between a lower bound and an upper bound. Compared with the original inverse-polynomial method, the polynomial orders in the modified one are optimized. For the time-free transfer between circular orbits, it is proved that the radius monotonously changes, and the maximum thrust acceleration is obtained by solving a cubic polynomial which is the first-order expansion at half of the transfer angle. For a given maximum thrust acceleration, the minimum revolution number is analytically estimated. For the time-fixed rendezvous between circular orbits, the seventh parameter is solved by the secant method in its feasible range considering the radius constraints. The maximum tangent-thrust-acceleration magnitude is estimated by solving real roots of a polynomial, and then the feasible solutions for a given maximum acceleration are determined. Numerical examples show that the maximum thrust acceleration by the proposed modified inverse-polynomial method is less than that by the original inverse-polynomial method for both the orbit transfer and rendezvous problems.


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    Title :

    Modified inverse-polynomial shaping approach with thrust and radius constraints


    Contributors:
    Wang, Dongzhe (author) / Zhang, Gang (author) / Cao, Xibin (author)


    Publication date :

    2015-11-01


    Size :

    13 pages




    Type of media :

    Article (Journal)


    Type of material :

    Electronic Resource


    Language :

    English





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