The Direct and Indirect Problem for Loxodromes

THOMAS H. MEYER; CRAIG ROLLINS

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The Direct and Indirect Problem for Loxodromes

机译：Loxodromes的直接和间接问题

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A loxodrome is a curve of constant azimuth. Herein are given formulations for the direct and indirect problems for loxodromes. These formulations depend on an elliptic integral and offer a compact solution readily implementable with modern computational platforms that support elliptic integrals. Solutions are developed on the reference ellipsoid and then shown to simplify for solutions on the sphere. Numerical examples show that the differences between ellipsoidally-based computations and spherically-based computations can differ by nearly 10 arc minutes and by 0.31% (25,319.959 m) of the loxodrome segment's length.

机译：后院是恒定方位角的曲线。本文给出了恶臭症直接和间接问题的配方。这些公式取决于椭圆积分，并提供了紧凑的解决方案，可轻松地通过支持椭圆积分的现代计算平台来实现。解决方案是在参考椭球上开发的，然后显示为简化球体上的解决方案。数值示例表明，基于椭球的计算与基于球的计算之间的差异可能相差近10弧分，也相当于车头架段长度的0.31％（25,319.959 m）。

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《Navigation》 |2011年第1期|p.1-6|共6页
作者
THOMAS H. MEYER; CRAIG ROLLINS;
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作者单位

University of Connecticut, Storrs, Connecticut, 06269;

National Geospatial-lntelligence Agency, St. Louis, Missouri;

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收录信息美国《工程索引》(EI);
原文格式 PDF
正文语种 eng
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The Direct and Indirect Problem for Loxodromes

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