稍微扁圆的椭球上的射线路径和焦散

Proceedings of the Royal Society of London. A. Mathematical and Physical Sciences Pub Date : 1990-04-09 DOI:10.1098/rspa.1990.0035

M. Longuet-Higgins

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引用次数: 4

摘要

我们研究了一个点源S在一个略扁的椭球壳上的射线路径。焦散被发现形成了一个四星，即一个规则的，四尖角的准摆线，以s的对置点为中心。四星的长度尺度变化为ε cos2λ，其中ε是对置点的偏心率，λ是对置点的纬度。

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Ray paths and caustics on a slightly oblate ellipsoid

We investigate the ray paths from a point-source S on a slightly oblate ellipsoidal shell. The caustics are found to form a 4-star, i.e. a regular, 4-cusped hypocycloid, centred on the point antipodal to S. The length-scale of the 4-star varies as ϵ cos2λ, where ϵ is the eccentricity and λ is the latitude of the antipodal point.

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Proceedings of the Royal Society of London. A. Mathematical and Physical Sciences

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