Article

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

F. T. ShamshievNational University of Uzbekistan, 100174, Tashkent, Uzbekistan

Astrophysical Bulletinjournal2025en

ABI

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.

Topics

Differential Equations and Boundary Problems Advanced Differential Geometry Research advanced mathematical theories

Identifiers

DOI: 10.1134/s1990341325600048

Citations and references

Cited by 1 6 references

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