淡江大學機構典藏:Item 987654321/45971
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    題名: Analytic theory of optimal plane change by low aerodynamic forces
    作者: Ma, Der-Ming;Wu, Chi-Hang;Vinh, Nguyen X.
    貢獻者: 淡江大學航空太空工程學系
    關鍵詞: Aerodynamics;Approximation theory;Computational methods;Computer simulation;Equations of state;Integration;Maneuverability;Nonlinear equations;Optimization;Reentry;Variational techniques;Lifting bodies;Multi pass maneuvers;Optimal plane change;Orbits
    日期: 1997-07
    上傳時間: 2013-03-20 16:25:41 (UTC+8)
    出版者: Springfield: American Astronautical Society
    摘要: The properites of the optimal and sub-optimal solutions to multiple-pass aeroassisted plane change were previously studied in terms of the trajectory variables. The solutions show the strong orbital nature. Then, it is proposed to obtain the variational equations of the orbital elements. We shall use these equations and the approximate control derived in Vinh and Ma (1990) to calculate the trajectories. In this respect, the approximate control law and the transversality condition are transformed in terms of the orbital elements. Following the above results, we can reduce the computational task by further simplification. Within omega and Omega being small and returning to the value of zero after each revolution, we neglect the equations for omega, and Omega. Also, since omega approximately equal to 0, that is alpha approximately equal to f, we can neglect the equation for the alpha and have only three state equatio