基于基准轨道的多节点协调轨道保持方法

在指定时间内，轨道摄动方程的状态变化可以用柯西标准型的常微分方程表述。基于摄动方程，轨道的修正控制参数的计算问题可以表示为指定区间两点边值问题的参数优化问题。传统的参数计算方法本质上是将边值问题转化为初值问题，强制在一个边界点上满足边值条件，弱化了积分区域中的约束条件，造成不适应多约束条件下的轨道保持。基于基准轨道的多节点轨道控制方法在积分区域内的一组约束条件下，建立基于多约束条件方程的有限差分方程，与传统的升交点重合法相比，该算法将约束条件由目标圈目标升交点扩展到点火圈与目标圈之间所有圈的卫星位置参数约束，从而确定控制量将卫星轨道始终保持在偏差管道内，最大限度的满足对卫星轨道保持的要求。

Station-Keeping Strategy with Multi-Node Constrains for LEO Satellites

In certain time,orbit perturbation equations can be written in form of ordinary differential equations.Based on the perturbation equations,optimization of station keeping maneuver parameters can be described as a two point boundary value problem.The traditional way to solve this problem is to change it into initial value problem,and force the parameters to match the requirements in one boundary.In fact,this method has weakened constrains in the integral process,and the precision requirements of station-keeping.Compared with the tradition method whose orbit targets a single right ascend node of a specified revolution,a "tight" manner strategy developed in this paper expands the targets to a set of checking points with respect to a predefined osculating reference trajectory in a number of revolutions.With this maneuver strategy,the satellite will be able to maintain precisely its orbit in an "error tube" as least as possible.