m=n^k圆锥投影

The Conic Projection with m=n^k

本文讨论球体m=n^k的圆锥投影,导出了高纬及低纬地区的公式及其问的关系以及中纬地区公式及累加算法。文章还讨论了椭球m=n^k的圆锥投影公式和常数计算方法以及双标准纬线m=n^k的圆锥投影中参数与投影变形的关系;最后指出了该投影的研究价值和应用情况。

Based on the theory of the m=n^k orthogonal projection, this paper firstly discusses the m=n^k conic projection under the condition of sphere, derives the formula suitable to the low latitude areas, the formula suitable to the high latitude areas and the relation between these two formulas, also derives the formula suitable to the medium latitade areas and the accumulated calculation method. The caefficients in these three formulas are tabulated and provided for application. In the second part of the paper, the author discusses the formula of the m=n^k conic projection under the condition of spheriod, adds some calculation methods of constants in these formulas and studies the relation between parameter K and the projection distortion value of the conic projection with two standard parallels. Lastly, the author will point out the research valve of the m=n^k conic projection in the past and at present and describe the situation of this projection being spread and applicated.