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

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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Publication Details

Journal
Astrophysical Bulletin
Published
2025-03-01
DOI
https://doi.org/10.1134/s1990341325600048
Primary Topic
Differential Equations and Boundary Problems
Type
article
Field-Weighted Citation Impact
0.00
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article

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

F. T. Shamshiev
Astrophysical Bulletin
Differential Equations and Boundary Problems
article

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

F. T. Shamshiev
article en

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.

Astrophysical BulletinVol. 80(1)
National University of Uzbekistan (UZ)
Openalex Percentile: Top 83%
Differential Equations and Boundary Problems
DOISourceOpenAlex
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Cases of Further Integrability of the Equation of Motion in the Presence of the Local Integral in the Space Model. II — F. T. Shamshiev · Astrophysical Bulletin (2025) | TGRS Research Map | TGRS