中文摘要：

对航天器六自由度控制的推力分配问题进行了研究,参考卫星导航系统中几何精度衰减因子（GDOP）的定义,首次提出了推力器构型燃料消耗因子（FCF）的概念,并将此概念用于定义推力器相对几何关系引起的期望控制量与燃料消耗间的比例关系。通过矩阵理论分析得到了燃料消耗因子随推力器数目增加而减少的结论,并通过仿真计算对结论进行了验证。

英文摘要：

The control precision as well as the propellant consumption is directly affected by the amount and configuration of the thrusters.The thrust allocation scheme of a spacecraft was analyzed.Based on the geometric dilution of precision（GDOP） used in satellite navigation system positioning theory,the concept of thruster fuel consume factor（FCF） was proposed to express the ratio between the expect control and the fuel consumption caused by the thrusters.The matrix theoretical analysis shows that FCF decreases as the amount of the thruster increasing.