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arXiv 2109.08736astro-ph.SRastro-ph.EP
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利用2003-2020年观测的SORCE SIM辐照度计算太阳温度变化

Solar Temperature Variations Computed from SORCE SIM Irradiances Observed During 2003-2020

Robert F. Cahalan, Paulino Ajiquichi, Gaspar Yataz

摘要:

对于周期23和24之间太阳活动最小的“参考日”,我们根据每个波长的太阳光谱辐照度计算亮温。我们考虑的参考日值的辐照度和温度的小变化,并推导出线性和二次解析温度近似的泰勒展开的参考值。为了确定近似精度,我们比较了每天计算的精确亮度温度。我们发现,线性解析近似高估,而二次低估的确切结果。使用R软件,我们找到具有最小均方根误差的统计拟合模型。我们表明,二次统计拟合模型给出了最小的均方根误差,给出了非常接近准确的结果。

英文摘要:

For a "reference day" of minimal solar activity between cycles 23 and 24 we compute the brightness temperature from solar spectral irradiance for each wavelength. We consider small variations of irradiance and temperature about the reference day values, and derive linear and quadratic analytic temperature approximations by Taylor expansion about the reference values. To determine approximation accuracy we compare to exact brightness temperatures computed for each day. We find that the linear analytic approximation overestimates, while the quadratic underestimates the exact result. Using R software, we find statistical fit models with minimum root-mean-square-error. We show that the quadratic statistical fit models give the smallest root-mean-square-error, giving results very near the exact.

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