关于引力位虚拟压缩恢复级数解的一致收敛性证明
Proof of the Uniform Convergence of the Series Solution About the Fictitious Compress -Recuperation of Gravitational Potential
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摘要: 引力位虚拟压缩恢复法的基本思想是选定一个位于地球内部的球,根据地球表面的引力位,通过连续不断的压缩(到内部球)与释放,构造出了一个级数解,在假定该级数解一致收敛的情况下,所得到的解在地球外部与地球的真实场完全一致。证明了上述级数解在所选球的外部的确是一致收敛的。Abstract: The fictitious gravitational potential solution of a sphere coincides with the earth's real gravitational potential field outside the earth is a series, which was not proved and only previously postulated as a uniformly convergent series.In the paper, it is proved that the series solution mentioned above is indeed uniformly convergent.
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