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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. ShamshievNational University of Uzbekistan, 100174, Tashkent, Uzbekistan
Astrophysical Bulletinjournal2025en
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Аннотация

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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