Cases of Further Integrability of the Equation of Motion in the Presence of the Local Integral in the Space Model. II

IF 1.3 4区物理与天体物理 Q3 ASTRONOMY & ASTROPHYSICS

Astrophysical Bulletin Pub Date : 2025-05-26 DOI:10.1134/S1990341325600048

F. T. Shamshiev

引用次数: 0

Abstract

A particular case of a local integral, published by Shamshiev in 2024, leads asymptotically to a potential with almost spherical symmetry at large distances \(r\). The \(L(x,y,z)=\textrm{const}\) surfaces, which give the boundaries of the area of motion and are close to spheres, are found.

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空间模型中存在局部积分时运动方程的进一步可积性。2

Shamshiev在2024年发表的一个局部积分的特殊情况，在大距离上渐近地导致一个几乎球对称的势\(r\)。发现了\(L(x,y,z)=\textrm{const}\)表面，它给出了运动区域的边界，并且接近球体。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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来源期刊

Astrophysical Bulletin 地学天文-天文与天体物理

CiteScore

2.00

自引率

33.30%

发文量

审稿时长

>12 weeks

期刊介绍： Astrophysical Bulletin is an international peer reviewed journal that publishes the results of original research in various areas of modern astronomy and astrophysics, including observational and theoretical astrophysics, physics of the Sun, radio astronomy, stellar astronomy, extragalactic astronomy, cosmology, and astronomy methods and instrumentation.