本篇論文裡，主要利用HILL方程推導人造衛星實行編隊飛行時的運動方程式，並且比較使用繫繩與否之間的衛星維持編隊飛行時所需推力，進而以此做為依據，利用基因演算法找尋在特定範圍以及限制條件下，最小推力的所需條件，並將結果與文獻之結果做比較。使用3顆人造衛星，質量為10 kg，初始位置位在軌道高度6978 km。限制其初始速度範圍為(0.001,0.01) km/s、飛行時間為(2000,3000) s之間。經由基因演算法得到，此範圍內最小推力條件為，給與初始速度0.005224 km/s ，飛行時間2901 s之後，所到達的(19.29,-0.009881) km此位置，維持於此位置所需的推力為0.005671 N。 The equation of motion of formation flight of satellite system is derived by using the HILL equation in this thesis. Comparing the thrusts required to keep the satellite systems in the formation flight between by the tethered or not is also discussed. By using the genetic algorithms, the configuration of satellite constellation for minimal thrust required is obtain. In the three satellite system, the mass of each is 10 kg, the initial position at the altitude 6978 km. The range of initial velocity is from 0.001 to 0.01 km/s, and the time is from 2000 to 3000 s. By using the genetic algorithms, in the range of the initial conditions, let the initial velocity in 0.005224 km/s and flying time in 2901 s, to arrive the position (19.29,-0.009881) km, then the minimal thrust becomes 0.005671 N.
