弹道导弹扰动引力快速逼近的算法研究

【作者】 赵东明；

【导师】 吴晓平；

【作者基本信息】 解放军信息工程大学 ， 大地测量， 2001， 硕士

【摘要】 本研究系总参测绘局课题——远程导弹惯性制导系统的重力矢量实时测定系统——的一部分。全文围绕着远程导弹弹道点扰动引力的快速计算展开，主要讨论了四个方面的问题：首先是对现有扰动引力计算方法进行分析和比较，据此认为利用点质量模型和低价位系数模型组合法计算扰动引力是理论严密、计算精密的方法，并将它作为后面进一步研究的基础。其次，通过对常用数值逼近方法的考察，选取三次等距B样条函数对用上述方法计算出的某设计弹道的扰动引力进行了逼近，对结果进行分析后认为其适合于弹道扰动引力的快速计算。文章接着提出利用有限元内插方法对上述设计弹道的扰动引力进行逼近，重点集中在空间单元的剖分和单元形状函数的选取上，分析结果显示此方法也适合进行弹道扰动引力的快速计算。最后，对上面所得的算法进行了集成，编制了软件以满足实用中便捷和连续弹道计算的要求。更多还原

【Abstract】 Revolving around the fast computation of the disturbing gravity of ballisticmissile trajectory this dissertation mainly focuses on the following problems: firstly,analysis and comparison of the existing computing methods of the disturbing gravityare made, according to which the method of point mass model is considered strict andexact and thus is selected as the foundation of subsequent research; secondly, after afull review of the numerical interpolation methods in conunon use, because of itsexcellent property’ the cubic isometrical B-spline is chosen to interpolate thedisturbing gravity along some pre-designed trajectory and considered fit fOr the fastcomputation of disturbing gravity along a IIilssile trajectory after the analysis ofresult; thirdly, a finite element interpo1ation method is put forward in this paper, withemphasis laid on the partition of spatial elements and the selection of shaPe functionof element, and consequent result shows that this method is also fit fOr the fastcomPutation of disturbing gravity of IIilssile trajectory; finally, the above methods areintegrated into software so as to be convenient and successive and automatic fOrfurther use.更多还原