使用最优化理论推导全力扭方位计算公式

On Deducing Calculation Formula for Full-Twist Azimuth Based on Optimization Theory

全力扭方位的数学本质是在给定的约束条件下求装置角,使得方位变化达到最大。文献中已有的几种求解方法在求解过程中没有考虑约束条件,这使得有关计算公式缺乏严格的数学基础。使用有约束极值问题的标准求解方法———拉格朗日乘数法对全力扭方位问题重新进行了数学表述、并推导出了最优解的计算公式。

Mathematics essence of full-twist azimuth is calculating setting angle with given constrain condition to obtain maximum azimuth change.Some of existed calculation methods in the literature neglect constrain condition in the course of proof,thus making the related calculation formula lack of strict foundation of mathematics.The author has given anew mathematics formulation of full-twist azimuth by means of standard method to calculate constrained extreme-value problems（Lagrange Multiplier method）,and deduced the calculation formula for optimal solution.