地球自转周期新解
本帖最后由 武茂灿 于 2024-10-3 20:01 编辑地球的自转周期新解武茂灿1.地球自转1.1 地球自转产生天球上的北天极以及日月星辰由东向西的视运动。北天极是地球的影子。1.2 地球自转的两种形式1.2.1主动自转， 地球绕自身轴转动，这是地球自转的主要形式。1.2.2 被动自转，指跟随大的物体转动而引起的自身转动。如一个人站在大的圆盘上，圆盘绕轴转一圈，这个人自转一圈。这不光是刚性物体所具有的特性，就是在空间的天体运行也有同样的规律。1.2.3 主动自转与被动自转是两个系统中的独立的运动。地球绕太阳旋转，地球自转相对黄道面是一个独立的运动，但地球相对天球的转动，就是两种自转形式的合运动。2.0 恒星日的不同解释2.1关于恒星日，笔者在网上看到的解释几乎都是如图1左边图所示的那样，地球上一点A的垂线正对着一颗恒星为起点 1，地球自转到 2 点，A的垂线与 1 点的垂线相平行时，为一个恒星日。这种解释忽略了地球的被动自转。地球在圆形轨道上运行，地球自转成了一个复合运动。一是地球绕自身轴的旋转，即主动自转；二是因地球公转而引起的地球被动自转。地球单位时间转过的角度是地球主动自转与地球被动自转转过的角度之和。
恒星日如图 1 右边图所示，地球上的一点A 从 1点开始，到 2 点时A点正对原来的恒星时，就是一个恒星日。从图上看，地球相对天球没有转360 ，但加上被动自转的角角度正好一圈。本节的内容可以从下面的实验装置来理解。即一个10 齿的小齿轮绕 100 齿相同模数的大齿轮旋转。小齿轮绕大齿轮一圈，小齿轮主动绕轴转10 圈，小齿轮绕大齿轮一圈会使小齿轮被动自转一圈，故小齿轮绕大齿轮一圈小齿轮转 11 圈。data:image/png;base64,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
图 1 恒星日两种解释示意图2.2 由上分析可知，地球绕轴自转一圈，地球转过的角度 360°加上地球绕太阳转过的角度.如地球轨道是圆形，地球绕轴自转一圈，地球转过的角度是均匀的。这与小齿轮绕大齿轮的情况相同。但地球轨道是椭圆形，地球绕轴自转一圈，地球绕太阳转过的角度并不均匀，它们的之和有大有小。那就意味着地球绕轴的自转周期就是一个平太阳日。3.0地球的自转周期3.1 春分点时和春分点日根据本人的研究，在此首次提出春分点时和春分点日。春分点时定义： 对于某一地点的子午圈，当春分点刚好过子午圈（上中天）的时刻，定义为该地春分点时 0 时,因周日视运动，春分点绕天球一圈，又一次通过子午线时，定义为春分点时24 ,时或次日春分点时 0 时。春分点日定义： 春分点时从 0 时到 24 时是一个春分点日。3.2 春分点连续两次过地球某地点的子午圈，在天球上好像没有转满一圈，这种观点忽略了黄道相对天球的移动。地球在黄道上运行，地球的自转，都是在黄道面系统或者说黄道面坐标系中发生的事件。春分点两次过子午圈在天球上看，就是春分点西移与地球自转的合运动。加起来正好一圈。如果是某颗恒星两次过子午圈，地球自转就第大于一圈了。由此可得出结论：春分点日是地球自转的真正周期。3.3 春分点日与太阳日的关系是一个回归年有365.2422太阳日，却有 366.2422 春分点日，刚好相差一天。也就是说，地球在黄道上绕太阳一圈主动自转的圈数加上被动自转的圈数1等于地球绕太阳一圈真正自转的圈数。其周期为春分点日。一个春分点日为 23 小时 56分 04 秒。这个时间是以春分点为参考点导出，而不是恒星。春分点相对恒星西移，春分点日小于恒星日。用恒星日代替上述关系式中的春分点日不能成立。
页:
[1]