首页> 中文期刊> 《广东第二师范学院学报》 >太阳系天体相对地球某点的波动式螺线运动(Ⅲ)--波动式螺线立体叠加及模拟分析

太阳系天体相对地球某点的波动式螺线运动(Ⅲ)--波动式螺线立体叠加及模拟分析

         

摘要

在«太阳系天体相对地球某点的波动式螺线运动(I)»和«太阳系天体相对地球某点的波动式螺线运动(II)»中,推导太阳系天体对地球某点的波动式螺线运动方程。对螺线方程进行分析,并根据傅里叶原理,将各波动方程叠加,并以太阳系天体对地球赤道某点波动式螺线运动方程为例,利用计算机模拟得到各叠加图线,以探讨太阳系天体运动对地球某点的共同影响。模拟结果表明,太阳系天体对地球赤道某点立体波动式螺线叠加后,波形与单个天体类似,仍呈周期性螺线变化,且在三个坐标平面上的投影均为周期性波动,整体传播呈现薄膜状波动面。日月叠加图线与太阳近似,五大行星叠加图线较七大行星规则,五大行星在双波动坐标轴下的波动式螺线叠加在 yz平面的投影在某个阶段非常的密集,之后突然稀疏,七大行星也是,不过五大行星的密集长度比七大行星的长。日月对太阳系行星总体叠加影响不大。%In the thesis of The Undulating Spiral Motion of Celestial Bodies in Solar System Relative to a Certain Point on the Earth (I )and The Undulating Spiral Motion of Celestial Bodies in Solar System Relative to a Certain Point on the Earth (I I ),undulating spiral motion equation of solar system bodies relative to a certain point on the earth has been derived.This thesis will analyze each equation and superimpose the undulating equation based on the Fourier Principle,and then taking the undulating spiral motion equation of solar system bodies relative to a certain point on terrestrial equator for example,use computers simulation to obtain superposition graph to research the common influence of solar system bodies to a certain point on the earth.The simulation result indicates that,after superimposing the stereoscopic undulating spiral of solar system bodies relative to a certain point on terrestrial equator,the undulation shape is similar to a single celestial body′s,which still appears periodic spiral displays. Moreover,the projections on three planes of coordinate all display periodic undulation and thin film undulating plane appears in the entire spread.Additionally,the superposition graph of the sun and the moon is similar to the sun′s,and the superposition graph of five planets is more regular than the seven planets′.As for the superposition of undulating spiral of five planets on double-undulation coordinate axis, its projection on yz plane is very dense at some stage and it becomes sparse suddenly,so it is with seven planets,except that the length of being dense of five planets is longer than seven plants′.Lastly,the sun and the moon have little effect on the whole superposition of solar system planets.

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