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CALCULATING METHOD OF SERIES FOR true anomaly OF A SPACECRAFT ELLIPTIC ORBIT

Applied Mathematics and Mechanics(English Edition) 2005年第11期26卷 1435-1441页

作者：顾晓勤谭朝阳 MA Xing-rui Zhongshan College University of Electronic Science and Technology of China Zhongshan 528403 Guangdong Province P. R. China 不详

The transcendental equation of a true anomaly was written in a power series instead of a differential form. When the sufficient condition of the iterative convergence is satisfied, the relationship between the true anomaly and the time was gotten by the iterative method. And for the others, the transcendental equation of an eccentric anomaly was solved by the iterative method. After the eccentric anomaly had been calculated, the relationship between the true anomaly and the time was gotten with the numerical integral method. The approximate equation, which included the first five terms in general expansion, was written for the spacecraft quasi-circular orbit. And the true anomaly as the function of the time was also gotten by the iterative method. The numerical simulation results show that these methods are efficient.

关键词： spacecraft orbit true anomaly eccentric anomaly iterative method

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Trends in Global Solar Radiation and Sunshine Duration in Past Two Decades in Japan

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Journal of Geoscience and Environment Protection 2024年第10期12卷 221-237页

作者： Ippei Iiyama School of Agriculture Utsunomiya University Utsunomiya Japan

Global solar radiation (GSR) is an essential physical quantity for agricultural management and designing infrastructures. Because GSR has often been modeled as a function of sunshine duration (SD) and day length for a given set of locations and calendar days, analyzing interannual trends in GSR and SD is important to evaluate, predict or regulate the cycles of energy and water between geosphere and atmosphere. This study aimed to exemplify interannual trends in GSR and SD, which had been recorded from 2001 to 2022 in 40 meteorological stations in Japan, and validate the applicability of an SD-based model to the evaluation of GSR. Both the measured GSR and SD had increased in many of the stations in the study period with averaged rates of 0.252 [W·m−2·y−1] and 0.015 [h·d−1·y−1], respectively. The offset and the slope of the SD-based model were estimated by fitting the model to the measured data sets and were found to have been almost constant with the averages of 0.201[-] and 0.566[-], respectively, indicating that characteristics of the SD-GSR relation had not varied for the 22-year period and that the model and its parameter set can be stationarily applicable to the analyses and predictions of GSR in recent years. The stable trends in both parameters also implied that the upward trend in SD can be a main explanatory factor for that in the measured GSR. The upward trend in SD had coincided with the increase in the frequency of heavy-shortened rains, suggesting that the time period of each rainfall event had gradually decreased, which may be attributable to the obtained upward trend in SD. Further studies are required to clarify if there is some cause-effect relation between the changes in rainfall patterns and the standard level of solar radiation reaching the land surface.

关键词： Angstrom-Prescott Model Atmospheric Transmittance Cloud Cover Extraterrestrial Solar Radiation Global Brightening Hour Angle Solar Declination true anomaly

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