• approximation of artificial satellites’ preliminary orbits: the efficiency challenge

    جزئیات بیشتر مقاله
    • تاریخ ارائه: 1392/07/24
    • تاریخ انتشار در تی پی بین: 1392/07/24
    • تعداد بازدید: 1238
    • تعداد پرسش و پاسخ ها: 0
    • شماره تماس دبیرخانه رویداد: -
    in this paper the problem of the determination of the preliminary orbit of a celestial body is studied. we compare the results obtained by the classical gauss’s method with those obtained by some higher-order iterative methods for solving nonlinear equations. the original problem of the determination of the preliminary orbits was posed by means of a nonlinear equation. we modify this equation in order to obtain a nonlinear system which describes the mentioned problem and we derive a new efficient iterative method for solving it. we also propose a new definition of optimal order of convergence for iterative methods for solving nonlinear systems.

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