顾及椭球面不平行的椭球膨胀法在高程投影面变换中的应用
Ellipsoid Expansion Method Considering Ellipsoid Parallel Misalignment and Its Application to Projection Plane Transformation
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摘要: 对现有3种椭球膨胀法进行比较,基于平面解析几何的理论,提出一种顾及椭球面不平行性的椭球膨胀方法。分析了椭球面不平行性对椭球长半径变化量和膨胀后测站纬度的影响及其对投影面变换后高斯平面坐标的影响。结果表明,广义大地测量微分公式法和本文提出的方法结果完全一致,但本文方法更直观。Abstract: Three existing methods are compared,and a new ellipsoid expansion method considered ellipsoid misalignment is proposed based on analytic geometry theory.The influence on major semi-axis variation,station latitude variation and Gaussian Plain Coordinate caused by ellipsoid misalignment is examined.According to the experiments,the results from the proposed method and generalized geodesy derivation equation method agree well,and the proposed method is more intuitive.
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