北半球最热坡度的解析模式
(1)冬半年(d£0)：
冬天北坡不存在最热坡度。坡度为a的南坡接受的天文辐射总量为：
式中，Io为太阳常数；Eo为地球轨道偏心率订正因子；t为日长；j为地理纬度；d为太阳赤纬；ws为南坡的日没时角；在冬半年，南半坡日没时角与水平面日没时角wo相同，且：
由最热坡度存在的必要条件：
(2)夏半年(d>0)：
当a<90°-j+d时(也就是北坡只有一次日出、日没时)：
式中，j01为水平天文日辐射总量出现最大值。
参考文献
于强，傅抱璞，彭乃志等：辐射日总量的最热坡度解析模式及其全球分布规律。地理学报，1994,49(6)
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