小行星重力场全球及局部球谐系数计算与仿真  

Computation and simulation of global and local spherical harmonic coefficients of asteroid gravity field

作　　者：郭延宁[1] 李晓宇[1] 马广富[1] 崔祜涛[2] 

机构地区：[1]哈尔滨工业大学控制科学与工程系,哈尔滨150001 [2]哈尔滨工业大学深空探测基础研究中心,哈尔滨150001

出　　处：《哈尔滨工业大学学报》2015年第5期13-19,共7页Journal of Harbin Institute of Technology

基　　金：国家重点基础研究发展规划(2012CB720000);国家自然科学基金(61174200);中国博士后科学基金(2014M550195);中央高校基本科研业务费专项资金(HIT.NSRIF.2014035)

摘　　要：为得到高精度的全球球谐系数,总结提出了检验点选取方式和多面体模型划分策略,定量分析表明了均匀取点和等面积划分法的优越性.提出了局部球谐系数概念,集中在小行星探测器任务规划中的主要活动区域选取检验点进行计算,通过构建一种新的性能指标说明了局部球谐系数的有效性.局部球谐系数可有效提高特定区域的重力场建模精度,克服传统意义球谐函数法无法在布里渊球域内使用的缺陷,显著提升了球谐函数法的应用范围.最后,以小行星Eros433为实际算例,计算了全球及局部球谐系数,说明了本文方法的有效性.To get high precision global sphere harmonic coefficients, selection strategy of test points and the partition method of polyhedron model are summarized. Quantitative analysis shows the superiority of uniform distribution test points and the polyhedron division method with equal size facets. Then, the concept of local sphere harmonic coefficient is proposed. After choosing the test points located in the detector’ s major operation area, a new performance index to measure the effectiveness of local coefficients is constructed. The proposed new concept is shown to be able to effectively improve the gravity field modeling accuracy for certain area and overcome the defect of traditional sphere harmonic function method that can not be used in brillouin ball, resulting enlarged application range. Finally, the global and local sphere harmonic coefficients of Eros433 are calculated, which validates the effectiveness and availability of the method presented in this paper.

关 键 词：小行星 局部球谐系数 重力场建模 多面体模型 Eros433 

分 类 号：V412.4[航空宇航科学与技术—航空宇航推进理论与工程]