GPS等导航系统具有广泛应用,但其可用性受限,且难以为用户提供持续的高精度导航。对此文中提出一种利用三颗同步卫星和一个浮空器组成转发平台的超视距导航系统,并以最小概率椭球体积为准则,研究该系统的优化布阵,经过理论推导和证明,给出一种简单、高效的空中平台布阵结构。仿真结果表明该布阵策略可以对目标区域形成最佳的几何构型,由于不涉及矩阵运算,因而计算量较小,具有重要的应用价值。

GPS Navigation system plays an important role in reality, but its limited usability and discontinuous navigation capacity make it unfavorable for future use. To solve these problems, a new over-the-horizon navigation system which consists of three geo-stationary satellites and an aerostat was proposed. The optimization of constellation geometry for this system was also discussed based on minimum probability ellipsoid volume principle. Simple and effective constellation geometry was proposed after theoretic derivation. Simulation results verify the conclusion. This constellation strategy doesn't need matrix operation, thus has applicable value in reality.