The paper presents studies of a class of such potentials for which the motion of a star admits some local integrals of motion. It is shown that linear or quadratic integrals in terms of velocity components, independent of the energy integral, or in the presence of rotation of the Jacobi integral, are very wider than the true integrals of motion. Special cases of the existence of a local integral in a three-dimensional gravitational field are also considered.
| Mualliflar | Fazliddin SHAMSHIYEV |
|---|---|
| Jurnal | Ўзбекистон Миллий университети хабарлари |
| Nashr sanasi | 2024-03-29 |
| Jild | 3 |
| Son | 3.1 |
| Betlar | 520-524 |
| Til | Rus |
| DOI | 10.69617/nuuz.v3i3.1.1946 |
DOI: 10.69617/nuuz.v3i3.1.1946 · Maqolaning asl sahifasi
stellar dynamics, gravitational potential, local integral of motions., : звездная динамика, гравитационный потенциал, локальный интеграл движения., yulduzlar dinamikasi, gravitatsion maydon, harakat lokal integrali.
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