古诗《生查子·元夕》中天文现象的数学模型建立与分析  

The Mathematical Model Establishment and Analysis of Astronomical Phenomena Mentioned in Ancient Poem Shengzhazi Yuanxi

作　　者：张克功[1] 杜吉梁[2] 

机构地区：[1]兰州石化职业技术学院学生工作处,甘肃兰州730060 [2]兰州石化职业技术学院信息处理与控制工程系,甘肃兰州730060

出　　处：《兰州石化职业技术学院学报》2016年第2期73-76,共4页Journal of Lanzhou Petrochemical Polytechnic

摘　　要：通过天球坐标系统建立模型,分析北宋学者欧阳修的诗作《生查子·元夕》中的名句"月上柳梢头、人约黄昏后"所描述的月升日落同时发生的自然现象。模型用高度角和方位角表示太阳和月亮的位置。借鉴天文学中曙暮光的含义定义"黄昏后"的时间段。通过简化天文学中利用观测点的地理经度、纬度、时区和日期,计算太阳赤纬、时角和天体高度角的方法,分别推导出计算"月上柳梢头"、"人约黄昏后"发生的时间段。This paper established a mathematical model to analysis the astronomical phenomena described as ＂ lovers date after nightfall while the moon hanging on the willow treetop＂ mentioned in Ouyang Xiu＇ s famous poem ＂Shengzhazi Yuanxi＂ based on celestial coordinate system.The locations of the sun and the moon are described with altitude angle and azimuthal angle.The time of ＂ after nightfall＂ is defined as the definition of civil twilight.The calculations of the declination,hour angle and altitude angle are simplified from the calculations of astronomy using the geographic longitude,geographic latitude,time zone and date.At last,it gets a way to calculate the time of ＂the moon hanging on the willow treetop＂ and ＂lovers date after the nightfall＂.

关 键 词：曙暮光 高度角 方位角 赤纬 时角 

分 类 号：O242.1[理学—计算数学]