一种复杂外形航天器投影面积计算的Monte Carlo方法

The Monte Carlo Method for the Computation of Projected Cross-Sectional Areas of Geometrically Complex Spacecraft

针对航天器投影面积的计算问题,借鉴统计学中Monte Carlo技术的思想,结合计算几何学中基本的射线与三角形相交理论,提出一种鲁棒性和通用性都较好的计算复杂外形航天器沿任意方向投影面积的Monte Carlo方法,详细给出方法实现过程,采用共享存储模式实现了方法的并行化,以充分利用当前高性能计算领域主流的多核处理器技术。以投影面积存在解析解的单面圆形平板和欧洲空间局SAMSON小卫星在典型姿态下的投影面积验证了方法的可靠性以及对复杂工程外形的适用性。该方法可应用于SAMSON和GOCE卫星大量姿态下投影面积的计算,分析赤纬和赤经对投影面积的影响,为卫星的姿态和轨道控制提供输入参数。

Based on the Monte Carlo technology in statistics,combined with the theory of the intersection of a ray with a triangle,the Monte Carlo method for the calculation of Projected Cross-Sectional Areas（ PCSA） of spacecraft has been proposed with elaborated procedures. The developed method is parallelized employing a shared memory programming model,Open MP,in order to take advantage of the multiple-core processors,which has been an industry trend for many years. Then,the PCSAs of a one-side circular plate and the SAMSON satellite in some typical attitudes are calculated,aiming at validating the Monte Carlo method and demonstrating its capability of dealing with complex geometries of engineering reguirements. The proposed Monte Carlo method could be applied to the SAMSON and GOCE satellites,with the purpose of computing their PCSAs in large quantities of attitudes,in order to provide input parameters for satellite attitude and orbit control.