论文标题
部分可观测时空混沌系统的无模型预测
Geodesics on an arbitrary ellipsoid of revolution
论文作者
论文摘要
Karney，J。Geodesy87，43-55（2013）中给出的算法扩展了陆地椭圆形的测量学，以适用于任意偏心的革命椭圆形。对于直接的和反大的问题，这需要根据Legendre和Cayley给出的椭圆形积分来实施该配方。测量多边形区域的积分是根据积分的离散正弦变换来计算的。在所有情况下，都可以实现接近全机器精度的精度。这些算法的开源实现可用。
The algorithms given in Karney, J. Geodesy 87, 43-55 (2013), to compute geodesics on terrestrial ellipsoids are extended to apply to ellipsoids of revolution with arbitrary eccentricity. For the direct and inverse geodesic problems, this entails implementing the formulation in terms of elliptic integrals given by Legendre and Cayley. The integral for the area of geodesic polygons is computed in terms of the discrete sine transform of the integrand. In all cases, accuracy close to full machine precision is achieved. An open-source implementation of these algorithms is available.
