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

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

Astrophysical Bulletin Pub Date : 2024-05-08 DOI:10.1134/S1990341323600308

F. T. Shamshiev

引用次数: 0

Abstract

A local integral that allows us to immediately determine the velocity field for certain specific initial conditions was introduced by Antonov and Shamshiev in 1992. We consider cases where the integrability of the trajectory can be advanced further. We then obtain an analytical relationship between \(x\), \(y\), \(z\), \(t\) on a given trajectory. Possible cases are classified and one of them is analyzed.

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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分性案例。I

摘要安东诺夫和沙姆希耶夫在 1992 年提出了一种局部积分，它可以让我们立即确定某些特定初始条件下的速度场。我们考虑了轨迹的可积分性可以进一步提高的情况。然后我们得到了给定轨迹上的（x）、（y）、（z）、（t）之间的分析关系。对可能出现的情况进行了分类，并对其中一种情况进行了分析。

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.