论文标题

通过简单层的水平椭圆形的重力电势表示

Representation of the gravitational potential of a level ellipsoid by a simple layer

论文作者

Milanov, Danila V.

论文摘要

对于简单层的密度,获得了封闭形式的表达,该密度是外太空中革命的扁平水平椭圆形的等值电位。可以以这种方式表示任何水平的正质量的潜力,并在其表面上吸引力的向内方向。发现了在革命级别椭圆体的整体上定义的密度函数家族。考虑了几个密度示例。

A closed-form expression is obtained for the density of a simple layer, equipotential to an oblate level ellipsoid of revolution in an outer space. The potential of any level spheroid of positive mass with the inward direction of attracting force on its surface can be represented in this way. A family of density functions defined on the whole volume of a level ellipsoid of revolution is found. Several density examples are considered.

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