椭球行星内部的重力势及其离心力分量

Pub Date : 2022-08-09 DOI:10.15407/knit2022.04.071

M. Fys, P. Zazuliak, A. Sohor

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引用次数: 0

摘要

提出了一种确定球体或椭球表面具有突变质量分布函数的天体引力势的方法。对于这些情况，得到了确定内势和重力的公式。根据这些公式进行的计算可以分析行星的椭圆度对其内部势能值的贡献，并将其与地球类行星(地球、火星、金星)和月球的离心力大小进行比较。

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Gravity potential and its component of centrifugal force inside the ellipsoidal planet

A method for determining the gravitational potential of a celestial body whose surface is a sphere or ellipsoid with an abrupt mass distribution function is proposed. For these cases, the formulas for determining the internal potential and gravity are obtained. The calculations performed according to these formulas make it possible to analyze the contribution of the ellipticity of the planet to the value of its internal potential and compare it with the magnitude of the centrifugal force for the planets of the Earth group (Earth, Mars, Venus) and the Moon.

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