用四个质量相同的物质点的吸引力场来近似刚体的吸引力场

IF 0.4 Q4 MATHEMATICS

Vestnik St Petersburg University-Mathematics Pub Date : 2024-05-20 DOI:10.1134/s1063454124700110

A. A. Burov, E. A. Nikonova, V. I. Nikonov

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引用次数: 0

摘要

摘要在本文中，我们研究了用四个相同点质量系统的势来近似刚体引力势的问题。我们将引力势视为一个参数的扩展，该参数表征了一个物体的平均尺寸与到空间测试点的距离之比，我们提出了一种方法来构建一个小到三阶的近似表达式。这种方法被用于建立 67P/Churyumov-Gerasimenko 彗星核的引力场模型。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

On the Approximation of the Attraction Field of a Rigid Body by the Attraction Field of Four Material Points of the Same Mass

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On the Approximation of the Attraction Field of a Rigid Body by the Attraction Field of Four Material Points of the Same Mass

Abstract

In this paper, we study the problem of approximating the gravitational potential of a rigid body by the potential of a system of four identical point masses. Considering the potential as an expansion in terms of a parameter characterizing the ratio of the average size of a body to the distance to a test point in space, we propose an approach to constructing an approximate expression up to terms of the third order of smallness. This approach is used to build a model of the gravitational field of the nucleus of comet 67P/Churyumov–Gerasimenko.

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来源期刊

Vestnik St Petersburg University-Mathematics MATHEMATICS-

CiteScore

0.70

自引率

50.00%

发文量

期刊介绍： Vestnik St. Petersburg University, Mathematics is a journal that publishes original contributions in all areas of fundamental and applied mathematics. It is the prime outlet for the findings of scientists from the Faculty of Mathematics and Mechanics of St. Petersburg State University. Articles of the journal cover the major areas of fundamental and applied mathematics. The following are the main subject headings: Mathematical Analysis; Higher Algebra and Numbers Theory; Higher Geometry; Differential Equations; Mathematical Physics; Computational Mathematics and Numerical Analysis; Statistical Simulation; Theoretical Cybernetics; Game Theory; Operations Research; Theory of Probability and Mathematical Statistics, and Mathematical Problems of Mechanics and Astronomy.