全力扭方位计算公式的全新数学推导

New Mathematical Derivation of Calculation Formula of Highest Level Azimuth Rectifying

摘要:

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。

Abstract:

Mathematic essence of the highest level azimuth rectifying means to get tool face angle under constrained conditions for the largest azimuth variation. The constrained conditions have not been considered in several solution methods in the existed literatures, this makes the related calculation formula lack strict mathematic foundation. A standard solving method with constrained minimization problems, Lagrange multiplier method, was used for the new mathematical expression of highest level azimuth rectifying and the calculation formula with optimal solution was derived.