论文部分内容阅读
利用编队卫星机械能之差守恒,提出了确定椭圆参考轨道编队卫星非线性周期性相对运动条件的新方法。该方法不用求解非线性相对运动微分方程,只需解一个一元二次代数方程,就可给出任意偏心率和非线性条件下,两个具有明显物理意义的周期性相对运动初始条件。利用这些条件,可找到不需消耗任何燃料的周期性相对运动轨道。最后的数值仿真结果验证了该方法和结论的正确性。
Using the conservation of the difference of mechanical energy of formation satellites, a new method to determine the nonlinear periodic relative motion of elliptical reference orbiting satellites is proposed. This method does not need to solve the nonlinear differential equations of relative motion. Only one univariate quadratic algebraic equation can be solved to give two initial conditions of periodic relative motion with obvious physical meaning under any eccentricity and nonlinear conditions. Using these conditions, periodic orbits of relative motion that do not consume any fuel can be found. The final numerical simulation results verify the correctness of the method and conclusion.