Analytic Theory Of Optimal Plane Change By Low Aerodynamic Forces
學年 81
學期 2
發表日期 1993-02-22
作品名稱 Analytic Theory Of Optimal Plane Change By Low Aerodynamic Forces
作品名稱（其他語言） 受微小氣動力的最佳軌變分析解
著者 Ma, Der-Ming; Wu, Chi-Hang; Nguyen X. Vinh
作品所屬單位 淡江大學航空太空工程學系
出版者
會議名稱 1993 AAS/AIAA Spaceflight Mechanics Meeting
會議地點 Pasadena, California
摘要 The properties of the optimal and sub-optimal solutions to multiple-pass aeroassisted plane change are studied in terms of the trajectory variables in Refs. [3] and [4]. 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 Ref. [4] to calculate the trajectories. In this respect, the approximate control law and the transversality condition are transformed in terms of the orbital elements. Folllowing the above results, we can reduce the computational task by further simplification. with W and Q being small and returning to the value of zero after each revolution, we neglect the equations ~or ~, an~ Q. Also, since ~ 0, that is c~ ~ f, we can neglect the eqnation for the ~ and have only three state equations for the integration. Still the computation over several revolutions is long since it is performed using the eccentric anomaly along the osculating orbit as the independant variable. Here, we shall use the method of averaging as applied to the problem of orbit contraction5~6 to solve the problem of optimal plane change. This will Iead to the integration of a reduced set of two nonlinear equations.
關鍵字
語言 en
收錄於
會議性質 國內
校內研討會地點
研討會時間 19930222~19930224
通訊作者
國別 USA
公開徵稿 Y
出版型式
出處 Advances in the Astronautical Sciences Series 82, pp.1139-1154
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