| 日历中一种周期现象的解析 |
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| 引用本文： | 杨俊平.日历中一种周期现象的解析[J].辽宁师专学报(自然科学版),2014,16(3):11-13. |
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| 作者姓名： | 杨俊平 |
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| 作者单位： | 大连海洋大学应用技术学院,辽宁大连,116300 |
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| 摘 要： | 指出日历中的国庆日与中秋节重合这种现象发生的周期性.从公历和农历的历法依据——回归年和朔望月出发,利用辗转相除法以及连分数等数学方法对农历的置闰月规律加以推演,进而得出两种历法运行的会合周期.同时对其会合周期的差异性加以分析.
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| 关 键 词： | 辗转相除法 连分数 历法 置闰月 |
The analysis of a cycle phenomenon in the calendar |
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| YANG Jun-ping.The analysis of a cycle phenomenon in the calendar[J].Journal of Liaoning Teachers College(Natural Science Edition),2014,16(3):11-13. |
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| Authors: | YANG Jun-ping |
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| Institution: | YANG Jun-ping (Applied Technology College of Dalian Ocean University , Dalian Liaoning 116300) |
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| Abstract: | The paper points out cyclicity of the coincidence phenomenon about the National Day and the Mid-Autumn Festival. Based on the solar calendar and lunar calendar -- tropical year and lunar month, in combination with mathematical methods like the successive division and continued fractions and so on, the laws of intercalary month in the lunar calendar can be deduced and then the synodic period of the two calendars should be concluded. Also, to begin with setting the cycle on the size of the month in the lunar calendar, the differences of the synodic period of the two calendars are analyzed. |
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| Keywords: | successive division continued fractions calendar intercalary month |
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