2C軌衛星近似圓形軌道快速計算法

Abstract

低軌衛星軌道數值積分是一件計算非常耗時的工作。在本研究中提出預估虛擬糾正演算法 、FFT擾動位梯度分段計算法與PVM平行處理技術等三種方法來克服此一問題。本文以一高 度170公里的低軌衛星來做數值實驗，並以位置誤差m、速度誤差m/s為可接受的範圍。根 據實驗結果顯示，除PVM方法因耗費過多資料傳輸的時間而無法提昇計算速度之外，預估 虛擬糾正法和FFT方法分別可以提昇數值積分的效率約2倍與50倍，而在整合了此二種方法 之後，約可提昇計算效率達100倍。 Orbit integration for low orbiter is an extremely time consuming computation. In this study three methods are proposed to overcome this difficulty: the pred ict-pseudo correct method, the FFT evaluation of accelerations by parts, and t he PVM method. Due to massive data transferamong the involved computers, the P VM method fail tospeed up the computations. With permissible errors of0.0005 m and 0.0000005 m/s in position and velocity,and the satellite altitude at 170 km, the predict-pseudocorrect method and the FFT method speed up the orbitinte gration by a factor of 2 and 50, respectively,together the two methods increas e the speed by 100 times.