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Horizontal magnification of finite-sized celestial objects

机译:有限大小天体的水平放大

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摘要

We investigate the magnification due to refraction of the apparent horizontal sizes of finite celestial bodies, such as the Sun or Moon. Two models are discussed and compared with the earlier works of Biot and Chauvenet. It is shown that the apparent horizontal size of the object varies with respect to its true horizontal size as a function of altitude or zenith distance, from a reduction of about 0.0276percent at the zenith, to an amplification of about 0.0045percent when the object appears just at the horizon (namely, when the true altitude gamma is negative and related to the corresponding refraction R by gamma velence -R). It is also shown that the apparent horizontal size is equal to the true size when the true altitude gamma is related to the corresponding refraction R by gamma velence -R/2. Thus, the total magnification (and reduction) range for differently sized objects is about 0.032percent-0.033percent and depends on the refraction.
机译:我们研究了由于有限天体(例如太阳或月亮)的视在水平尺寸的折射而导致的放大倍数。讨论了两种模型,并将其与Biot和Chauvenet的早期作品进行了比较。结果表明,物体的视在水平尺寸相对于其实际水平尺寸随高度或天顶距离而变化,从天顶的约0.0276%减小到物体出现时的约0.0045%的放大恰好在地平线上(即,当真实高度伽玛为负且与伽玛velence -R相关的折射R相关时)。还显示出,当真实高度γ通过γ速度-R / 2与对应的折射R相关时,视在水平尺寸等于真实尺寸。因此,不同大小的对象的总放大率(和缩小率)范围约为0.032%-0.033%,并取决于折射。

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